Sending sequence optimization method of co-location network

文档序号:516949 发布日期:2021-05-28 浏览:5次 中文

阅读说明:本技术 一种协同定位网络的发送序列优选方法 (Sending sequence optimization method of co-location network ) 是由 李志强 于永 于 2020-12-30 设计创作,主要内容包括:本发明公开了一种协同定位网络的发送序列优选方法。该方法根据节点数确定相应数目的初始发送序列,初始发送序列对应时隙,又把时隙分成时隙帧,再计算其中任意两个序列的相关函数、互相关值的均方根值、两两相关值的最大值均值,以及初始最大互相关值,然后对各个初始发送序列中对应的“1”时隙进行位置调整,进一步计算出调控发送序列对应的调控最大互相关值,将调控最大互相关值与初始最大互相关值进行比较来决定是否保留调控发送序列,直至完成所有的初始发送序列的调整。该方法得到的各发送序列的互相关最大值的均值有较为明显的下降,性能远优于随机产生的序列性能。(The invention discloses a sending sequence optimization method of a co-location network. The method comprises the steps of determining initial sending sequences with corresponding number according to the number of nodes, corresponding time slots of the initial sending sequences, dividing the time slots into time slot frames, calculating correlation functions, root mean square values of cross-correlation values, maximum value mean values of pairwise correlation values and initial maximum cross-correlation values of any two sequences, adjusting the positions of corresponding 1 time slots in the initial sending sequences, further calculating the regulated maximum cross-correlation values corresponding to the regulated sending sequences, and comparing the regulated maximum cross-correlation values with the initial maximum cross-correlation values to determine whether the regulated sending sequences are reserved or not until all the initial sending sequences are adjusted. The mean value of the maximum cross-correlation values of all the sending sequences obtained by the method is obviously reduced, and the performance is far superior to that of the randomly generated sequences.)

1. A method for transmission sequence optimization in a co-located network, comprising the steps of:

step S1: determining the number of nodes in the cooperative positioning network to be K, wherein each node corresponds to an initial transmission sequence, the total number of the nodes is K, each initial transmission sequence is a periodic sequence formed by 0 and 1 randomly, the period length is N, wherein 0 represents a time slot for receiving a signal, and 1 represents a time slot for transmitting the signal;

step S2: dividing N time slots corresponding to the cycle length N into m time slot subframes, randomly selecting one time slot in each time slot subframe of each initial sending sequence as a time slot for sending a signal, and using other time slots in the time slot subframes as time slots for receiving the signal so as to realize that each initial sending sequence only occupies m time slots for sending the signal in the N time slots;

step S3: calculating a correlation function C of any two of the K initial transmission sequencesi,j(σ) where σ denotes a phase offset amount of the ith initial transmission sequence and the jth initial transmission sequence,Tburdenotes the time length of the time slot, epsilon denotes the time length relative to TburBy the amount of time length deviation of, andi,j(sigma) calculating the root mean square value of the cross-correlation values, the maximum mean value of every two cross-correlation values, and further calculating to obtain an initial maximum cross-correlation value;

step S4: selecting one initial sending sequence from the K initial sending sequences as a regulation and control sending sequence, and randomly adjusting the position of a 1 time slot in each time slot subframe of the regulation and control sending sequence; then according to the method in step S3, calculating a correlation function between the regulated transmission sequence and other K-1 initial transmission sequences, and further calculating to obtain a regulated maximum cross-correlation value, if the regulated maximum cross-correlation value is smaller than the initial maximum cross-correlation value, replacing the initial transmission sequence with the regulated transmission sequence, and if the regulated maximum cross-correlation value is greater than or equal to the initial maximum cross-correlation value, retaining the initial transmission sequence;

step S5: and according to the same method as the step S4, processing other K-1 initial sending sequences in the K initial sending sequences to respectively obtain corresponding regulating and controlling sending sequences or keep the corresponding initial sending sequences, and finally obtaining K optimized and selected optimal sending sequences.

2. The method for transmitting sequence preference of a co-located network according to claim 1, wherein in step S3, the root mean square value of the cross-correlation value is:

3. the method for transmitting sequence preference of a co-located network according to claim 2, wherein in step S3, the maximum mean of the pairwise cross-correlation values is:

4. the method for transmitting sequence preference of co-located network as claimed in claim 3, wherein in step S3, taking the weighting factor α and calculating the initial maximum cross-correlation value as: ct=α·Cmm+(1+α)·Crms

5. The method as claimed in claim 4, wherein the number of nodes in the fixed co-located network is K50, the period length N is 2000, the number of slot subframes m is 200, and 2 e is 19Tbur,σ∈[-19,19]Each time slot TburThe weighting factor α is 0.5 for 1 ms.

6. The method of claim 5, wherein the 50 preferred transmission sequences are obtained by:

1 st preferred transmission sequence:

2,1,2,8,6,7,3,4,9,7,9,7,4,9,6,4,6,3,3,5,4,2,0,2,8,8,8,8,1,3,4,6,4,4,4,6,2,9,4,4,5,6,6,9,8,7,2,0,8,5,8,0,6,9,9,9,7,3,5,7,5,3,9,9,9,5,9,6,7,2,7,1,4,3,8,1,5,9,9,7,1,7,3,3,2,7,3,9,2,2,7,6,1,3,5,7,1,6,7,9,3,4,9,8,7,8,3,2,4,3,6,6,0,1,5,9,0,9,8,5,5,4,7,4,1,2,5,6,2,4,8,0,2,0,9,6,2,3,7,2,1,7,8,0,3,0,6,0,7,4,9,5,2,6,4,8,2,6,0,8,6,5,6,3,5,1,5,3,7,7,3,7,1,7,6,8,0,8,9,0,3,5,8,3,7,3,0,5,7,6,5,9,7,7,1,3,9,0,7,3

preferred transmission sequence 2:

6,1,5,1,7,0,1,0,0,1,9,3,9,0,5,3,5,5,4,8,5,6,3,0,4,4,4,6,5,9,4,3,3,9,1,4,0,4,3,7,7,6,5,5,7,5,4,9,5,6,1,9,6,9,6,7,6,0,5,9,1,1,3,2,1,1,6,0,2,3,2,7,9,2,4,7,6,7,0,2,8,1,5,2,8,2,1,8,2,4,4,6,9,5,5,9,5,4,9,1,7,1,7,5,1,2,6,2,7,4,6,7,1,2,4,3,5,5,3,5,6,6,5,1,0,6,8,6,9,2,3,1,5,2,6,1,9,9,2,6,3,5,1,2,4,0,5,1,3,8,6,5,0,9,3,6,3,2,1,3,4,4,4,6,8,3,9,0,3,6,6,6,8,3,7,7,6,1,5,5,5,5,5,3,6,0,4,6,7,6,3,0,5,3,6,0,3,7,9,8

preferred transmission sequence 3:

0,1,6,5,2,7,4,2,7,3,3,1,1,3,5,0,5,4,3,6,1,4,1,0,4,2,3,8,9,8,5,3,3,9,3,9,5,9,2,6,0,5,6,9,6,3,8,7,3,1,8,1,1,8,3,4,6,6,2,6,0,4,6,7,0,6,9,2,4,7,4,9,3,0,0,9,6,0,7,6,9,7,8,1,2,9,1,8,8,6,4,8,3,8,9,0,3,8,0,8,0,2,7,1,1,0,6,2,5,4,7,7,5,7,5,2,4,5,5,2,0,1,5,6,2,6,7,7,9,5,7,0,0,6,7,5,6,4,3,7,1,9,4,7,9,6,2,0,5,1,4,2,5,7,2,2,3,5,2,0,1,8,0,1,5,0,9,5,6,6,7,1,3,6,1,0,7,6,8,8,7,9,5,1,1,3,0,3,5,8,2,5,3,9,0,7,4,3,2,4

preferred transmission sequence No. 4:

0,6,7,6,7,1,9,0,5,3,3,4,1,0,8,5,2,3,9,3,2,7,9,7,0,8,5,2,9,9,2,7,4,9,1,8,7,1,5,7,7,5,1,2,7,0,8,6,7,7,4,4,2,6,0,7,0,6,0,4,9,9,2,3,7,0,4,2,8,6,4,5,6,0,9,6,6,4,7,5,7,9,9,3,6,5,6,7,4,8,1,6,1,2,3,2,7,3,0,6,3,4,3,6,1,8,8,2,6,6,1,8,8,1,8,1,3,4,4,3,9,2,4,6,9,7,0,7,4,8,8,1,9,4,8,3,0,3,0,5,6,4,2,2,0,3,5,9,8,9,9,7,0,2,0,8,6,7,0,2,5,1,3,9,1,4,5,9,1,5,0,2,2,4,9,9,2,0,3,5,8,9,1,7,5,2,6,7,9,5,7,1,3,6,5,2,8,2,2,0

5 th preferred transmission sequence:

3,6,5,6,1,0,1,2,4,3,1,8,3,6,2,2,1,5,8,9,7,1,8,9,9,1,2,3,3,6,3,0,1,4,6,6,2,2,4,6,6,6,0,8,2,8,9,7,1,1,7,4,3,4,3,0,3,2,0,4,2,8,6,1,3,1,4,5,7,0,7,5,2,7,4,6,5,9,7,2,1,4,2,5,0,4,4,6,9,4,5,3,3,8,0,9,7,1,9,8,9,0,8,7,9,4,7,5,2,3,8,5,0,8,8,9,4,9,3,8,4,0,7,2,4,4,6,4,2,9,2,9,8,4,9,0,5,6,8,8,2,6,5,3,3,6,4,1,4,0,1,6,0,5,5,7,5,2,3,6,8,4,9,1,5,4,5,9,8,4,9,9,2,8,0,6,1,7,5,1,0,8,3,5,8,4,9,6,5,3,1,6,5,6,6,4,2,7,2,5

preferred transmit sequence 6:

2,0,7,6,5,6,9,0,8,4,1,9,6,6,5,6,8,3,1,4,8,2,2,3,1,6,6,1,6,3,9,9,3,7,9,1,0,6,1,1,8,4,8,0,9,6,8,1,6,7,1,3,6,1,5,9,5,2,9,2,1,5,6,3,5,9,1,6,7,1,0,2,1,6,2,9,5,0,2,1,7,7,2,4,2,4,8,8,9,9,0,4,4,8,6,1,8,0,7,9,2,0,1,2,6,6,9,2,9,6,5,1,1,3,6,5,4,8,3,9,8,6,6,8,7,3,0,2,7,5,6,1,4,9,0,4,4,9,5,8,2,0,6,1,9,2,9,0,9,0,5,3,6,4,4,8,9,7,8,2,0,3,2,6,0,4,7,0,5,5,8,5,3,8,7,4,2,3,4,7,1,3,1,0,6,2,6,7,4,6,6,6,7,6,7,4,9,5,4,4

7 th preferred transmission sequence:

1,0,2,9,7,6,9,6,4,7,9,9,8,8,8,4,6,3,8,1,9,8,9,4,0,9,6,2,8,4,9,5,8,9,5,7,2,6,2,5,2,8,6,2,8,4,5,8,8,0,5,2,6,6,7,2,3,6,1,7,3,4,1,4,5,4,8,4,1,0,1,4,3,3,6,1,4,2,7,0,5,0,0,2,6,7,6,3,6,1,4,8,2,9,3,8,8,8,6,1,9,2,6,3,6,2,3,9,9,2,7,3,4,2,6,0,6,1,4,8,0,9,1,7,4,6,1,6,3,9,8,4,3,4,1,1,8,0,0,3,1,2,6,7,8,9,5,8,8,1,0,6,1,7,3,4,2,1,4,9,4,9,6,4,4,4,1,7,5,8,1,3,1,6,1,4,7,2,5,1,5,7,4,9,5,0,2,6,3,4,1,2,2,3,7,5,6,9,1,9

preferred transmission sequence 8:

0,7,0,2,5,6,7,2,4,5,4,7,8,1,2,3,9,4,5,0,3,8,8,6,4,6,8,4,9,7,8,8,6,4,4,6,3,1,2,2,3,5,0,8,8,5,0,9,4,0,5,6,8,3,1,6,8,8,4,4,9,5,6,9,9,6,0,9,6,6,7,2,6,6,2,7,9,4,7,6,5,4,4,4,3,8,7,9,2,5,1,9,5,0,1,0,9,3,8,8,7,4,0,0,3,9,9,0,1,4,4,7,3,4,8,0,2,3,2,5,5,6,7,7,7,7,4,6,1,9,4,2,1,0,2,0,9,9,0,4,1,6,5,9,1,7,7,9,0,6,8,4,0,8,4,5,8,5,0,7,2,3,1,5,9,9,6,4,6,5,8,0,1,3,6,5,5,1,6,1,4,6,5,0,9,0,6,1,0,8,2,8,7,0,1,4,0,1,2,4

preferred transmission sequence 9:

3,0,6,4,8,3,9,4,0,1,6,5,5,5,2,3,7,7,7,4,9,2,6,2,8,0,1,4,8,3,0,2,1,0,2,9,6,2,3,4,0,2,7,5,2,5,2,2,2,8,1,6,9,6,1,2,3,6,9,6,9,9,6,2,3,3,5,9,2,8,8,5,2,0,6,3,7,5,9,3,3,7,5,3,1,9,3,0,9,6,5,6,8,8,9,2,9,4,6,3,4,6,0,4,5,8,7,0,7,3,8,8,5,9,3,6,9,3,0,1,8,7,9,1,8,0,7,3,0,9,3,3,8,4,1,3,8,7,0,8,6,9,8,8,0,3,3,9,4,9,6,4,9,4,0,6,7,3,1,1,8,5,7,3,8,9,5,6,4,8,6,7,0,1,6,3,2,1,9,3,3,3,9,0,8,2,4,2,2,3,3,3,1,7,8,9,0,2,4,1

10 th preferred transmission sequence:

5,7,1,1,7,9,7,4,2,8,0,4,1,8,4,1,8,4,5,9,0,6,5,5,0,5,1,5,8,1,7,5,7,6,2,8,3,4,0,8,2,6,4,7,9,0,4,1,9,0,9,1,2,1,7,1,4,6,5,1,3,8,8,7,4,4,5,7,3,7,1,3,9,6,3,4,5,9,2,3,9,2,6,2,1,7,9,0,9,8,5,6,3,9,2,0,5,4,3,8,0,0,8,5,5,0,5,7,3,4,4,8,0,2,1,2,1,6,3,9,8,3,6,8,3,0,0,7,3,7,7,9,1,3,8,1,1,8,1,1,1,1,9,2,9,3,7,9,2,7,3,1,5,9,4,9,4,4,9,6,0,1,3,9,4,3,1,9,2,3,2,0,3,6,3,5,6,3,0,2,1,6,3,9,2,4,1,4,0,7,1,2,4,6,7,7,6,8,4,0

11 th preferred transmission sequence:

7,1,2,9,9,0,0,2,7,1,6,5,9,1,4,9,9,9,0,1,2,5,7,1,6,6,6,5,6,5,8,5,0,0,9,4,5,3,4,7,5,2,2,1,9,9,9,8,8,7,7,6,9,7,2,4,7,6,6,8,7,9,6,2,9,9,9,6,6,7,0,7,0,0,1,8,1,7,8,9,3,6,5,8,6,2,3,4,7,9,4,2,9,8,8,8,8,1,5,6,0,4,3,3,5,7,1,1,8,9,0,7,1,5,8,1,3,0,9,6,4,1,6,7,6,0,6,9,5,9,2,6,7,6,9,8,8,4,9,6,5,6,4,5,7,8,3,1,7,7,5,5,6,5,3,9,4,5,4,6,8,2,2,4,3,0,8,6,9,9,8,2,3,7,1,8,2,8,9,6,0,1,3,0,7,5,8,4,8,0,8,0,3,4,1,3,7,7,1,0

12 th preferred transmission sequence:

5,0,2,0,8,2,9,1,4,5,1,3,7,3,1,8,3,2,6,4,1,7,9,0,0,8,6,9,5,0,8,3,6,6,5,2,5,8,3,9,0,9,9,9,5,5,6,0,6,4,8,3,7,1,7,0,2,6,8,6,8,0,9,4,3,3,3,7,3,3,1,0,0,6,9,1,2,3,5,2,9,1,6,5,8,5,1,8,7,0,4,6,0,4,7,5,5,0,5,7,0,0,7,7,2,1,7,1,3,9,0,2,1,8,2,6,9,4,9,6,2,4,6,8,0,8,9,3,2,0,3,7,2,5,5,1,8,4,3,7,8,4,3,8,3,4,3,2,1,3,1,4,5,1,3,7,0,6,1,8,1,3,3,8,4,5,0,6,3,7,1,2,1,1,8,4,6,9,1,6,1,8,4,6,3,2,3,2,9,2,6,6,3,9,7,6,2,4,7,3

13 th preferred transmission sequence:

7,4,7,2,0,1,6,0,1,7,7,6,6,9,9,5,0,4,2,4,2,3,4,2,5,8,2,6,2,6,2,6,9,4,5,4,2,1,2,9,1,3,1,8,7,2,1,1,1,3,1,1,8,4,1,0,4,1,4,2,9,1,3,4,9,2,2,5,9,4,4,1,6,5,0,8,6,6,0,4,3,3,0,0,2,7,5,9,6,8,5,4,4,0,2,8,5,6,3,1,9,5,2,7,6,1,5,3,8,7,9,5,0,6,8,0,0,7,2,3,8,2,5,8,8,5,6,5,6,9,2,9,5,4,7,1,0,2,3,1,4,2,8,8,4,7,9,3,9,6,5,1,5,6,1,9,9,6,5,4,8,7,6,1,0,9,9,8,0,8,1,4,8,1,3,5,6,9,3,1,6,8,3,1,9,5,5,2,7,2,0,7,7,2,8,1,1,8,0,0

14 th preferred transmission sequence:

2,7,5,9,0,7,7,1,1,3,4,2,7,3,2,3,6,6,8,9,2,1,9,7,6,4,8,9,4,6,1,8,8,7,4,9,3,6,3,0,5,4,7,5,2,6,0,4,7,8,1,7,9,2,1,7,3,2,2,2,2,9,1,5,1,7,0,2,6,7,0,7,5,8,5,7,2,3,1,3,3,6,1,4,3,4,0,5,3,2,1,7,9,0,7,1,2,3,4,7,0,2,8,1,7,0,5,2,6,2,9,1,0,9,8,1,9,6,5,3,5,0,9,6,0,1,7,5,9,7,7,4,5,3,8,0,9,8,5,7,7,1,1,0,0,8,6,7,2,5,6,7,0,5,5,3,0,9,4,8,7,0,2,1,1,9,0,4,5,7,7,4,9,5,9,4,9,7,3,4,3,3,4,4,8,5,8,2,7,1,9,2,3,5,9,8,9,4,3,2

15 th preferred transmission sequence:

1,5,9,0,9,4,5,1,9,2,8,1,9,7,5,5,3,2,8,2,3,0,2,5,6,6,5,0,6,5,4,6,1,4,2,8,6,1,8,3,9,4,6,6,1,5,6,2,3,7,5,8,1,9,9,1,4,9,2,4,9,4,1,2,4,0,7,0,2,1,9,9,7,9,4,8,2,1,7,7,5,6,8,3,1,6,6,3,8,1,3,5,7,4,4,6,4,7,7,9,8,5,5,0,5,1,2,9,3,8,1,6,0,0,9,7,2,2,1,5,9,7,6,2,8,2,9,8,1,9,2,9,7,3,5,1,8,6,3,3,4,2,1,5,0,9,9,3,6,2,4,2,0,0,6,4,1,8,1,6,6,3,3,5,8,0,6,3,7,1,9,9,8,7,6,0,6,0,1,2,9,7,2,0,7,6,3,2,2,1,1,4,8,8,8,7,6,9,0,1

16 th preferred transmission sequence:

4,6,7,5,8,5,1,1,8,3,0,6,9,6,2,7,4,7,8,8,5,9,4,8,5,2,5,9,1,3,9,6,0,6,9,0,9,6,8,2,6,7,0,7,8,4,7,1,3,0,4,0,7,6,9,5,9,6,7,6,4,2,9,8,3,7,5,7,9,3,6,1,2,7,0,1,9,4,8,0,3,8,9,9,3,8,3,8,2,2,6,5,9,4,0,2,4,8,0,0,1,6,7,5,8,0,0,0,7,6,1,6,3,1,5,7,3,0,2,9,6,5,8,0,9,5,4,2,8,7,0,2,7,3,3,5,9,2,3,8,3,9,3,7,1,0,5,5,8,5,4,3,0,7,5,4,5,4,5,1,9,0,8,9,0,6,2,4,7,8,3,6,1,6,6,7,2,1,3,2,2,8,6,4,8,5,2,8,9,9,6,9,6,4,7,1,6,2,0,2

17 th preferred transmission sequence:

7,9,9,2,5,8,4,1,5,5,6,5,8,8,2,2,6,2,0,2,6,1,9,4,5,9,5,0,8,6,3,3,1,2,5,6,1,1,5,7,2,1,1,6,6,1,7,1,8,2,2,7,8,2,7,9,9,3,7,4,1,9,7,7,8,6,9,2,0,9,2,5,3,5,2,9,8,7,9,4,7,2,6,1,0,3,5,3,2,2,2,6,7,8,2,5,1,6,6,3,4,6,1,7,1,2,8,4,9,9,0,7,1,9,3,2,2,2,3,4,9,5,8,5,6,3,1,2,4,4,2,6,1,5,9,0,2,9,3,0,0,1,5,4,5,0,9,9,9,0,4,3,4,4,5,6,3,6,4,1,3,1,4,1,1,1,5,6,2,5,5,9,1,6,4,2,2,9,5,9,8,0,6,4,3,3,8,2,3,8,5,2,6,3,6,4,7,1,4,9

18 th preferred transmission sequence:

4,6,3,0,7,0,9,1,9,1,1,1,3,4,9,6,6,0,8,1,8,9,5,2,6,5,2,3,8,6,5,8,7,0,8,6,2,3,7,0,1,8,4,0,6,1,0,3,3,7,9,4,0,0,6,8,5,4,9,9,5,8,0,5,7,6,4,9,3,5,8,2,4,3,0,0,4,1,8,2,8,2,3,3,1,2,8,9,5,4,7,4,6,0,2,0,9,7,7,9,1,8,0,6,4,1,2,3,9,6,3,9,3,1,2,3,2,2,7,4,3,3,7,5,5,1,0,3,1,0,6,9,4,5,3,5,7,8,4,1,9,3,3,6,6,6,6,9,4,1,7,7,6,8,9,3,8,1,6,8,1,3,2,4,5,4,2,5,6,3,7,4,3,1,7,9,1,5,3,4,7,9,2,9,0,8,3,4,2,8,4,7,4,2,1,0,5,8,0,7

19 th preferred transmission sequence:

1,4,2,0,9,1,2,8,9,2,0,3,8,0,3,9,9,9,3,0,1,8,3,8,8,2,4,6,8,5,1,3,7,8,5,0,9,6,4,7,9,3,6,0,5,7,8,0,1,0,8,3,9,3,4,9,4,7,0,2,3,5,1,3,9,9,4,0,9,3,6,9,9,1,1,1,3,8,4,8,8,2,8,1,2,6,7,1,2,9,0,0,6,6,2,2,3,2,1,9,9,0,5,2,7,0,8,1,4,5,8,8,9,5,3,5,2,4,2,2,5,6,7,0,6,1,1,8,0,4,3,4,0,1,5,4,1,1,9,8,3,1,4,2,8,2,5,5,8,4,8,4,1,6,8,8,8,2,0,6,8,7,8,2,3,7,8,2,2,1,1,4,5,4,5,7,5,0,7,3,8,4,8,8,5,7,3,2,1,0,7,1,6,6,2,8,6,7,9,8

20 th preferred transmission sequence:

7,6,0,0,3,9,0,0,2,5,7,9,0,6,3,2,5,8,6,5,1,2,3,9,2,2,0,1,8,3,3,2,0,7,7,5,6,8,3,6,3,0,1,5,3,5,2,0,8,4,5,3,5,9,3,8,7,2,9,9,3,9,6,0,8,0,3,0,7,7,7,2,0,8,6,0,6,2,1,4,5,2,9,9,8,2,7,7,5,0,8,2,0,7,7,9,3,5,2,5,5,2,6,8,4,9,6,5,6,5,6,3,8,1,9,5,9,3,0,3,4,4,4,7,1,2,9,5,5,8,7,4,2,3,1,2,0,1,2,8,6,1,4,2,5,5,9,0,4,8,5,2,0,4,6,9,0,4,9,9,0,9,6,7,3,6,0,2,8,6,7,8,0,7,3,9,4,3,8,4,3,1,7,1,5,0,3,7,6,2,3,9,2,0,6,8,9,2,0,3

preferred transmission sequence 21:

7,9,3,3,6,8,2,1,7,1,7,3,5,8,9,9,6,8,0,5,5,6,2,2,1,7,8,1,9,7,9,6,1,3,2,6,5,3,6,4,3,0,2,1,8,2,9,6,7,6,9,6,9,3,9,9,1,7,2,4,1,1,5,6,9,5,8,7,0,7,2,2,0,3,5,6,8,2,3,3,6,2,3,3,2,2,8,4,1,9,8,8,5,2,8,2,0,9,9,0,0,2,7,7,1,0,7,8,7,4,8,9,7,5,6,8,6,5,6,7,6,9,7,3,7,5,9,7,8,9,7,0,6,1,3,6,2,0,5,1,3,8,7,2,4,5,6,5,5,3,4,0,2,9,3,7,7,3,3,1,6,3,3,8,4,4,0,9,2,3,8,1,0,2,7,1,2,0,0,9,1,4,9,0,3,7,7,7,9,1,1,4,2,5,1,9,3,9,6,4

22 th preferred transmission sequence:

4,4,6,2,8,9,7,2,7,2,8,5,5,3,7,9,3,7,0,5,6,9,5,4,1,6,5,6,7,4,3,1,2,3,2,7,2,6,9,2,6,4,3,4,6,9,9,3,6,4,3,1,6,3,1,0,5,2,3,0,7,7,6,5,5,8,2,0,1,1,7,2,6,4,4,3,6,6,2,2,0,0,9,8,7,3,6,0,0,0,2,0,4,7,7,4,4,4,2,8,6,0,0,4,2,5,6,7,8,2,7,5,2,8,5,1,3,9,8,3,2,0,6,0,0,5,7,1,4,0,5,1,7,2,4,4,9,4,6,6,2,2,7,1,5,8,3,4,3,1,0,6,5,2,7,3,2,7,1,7,6,0,2,1,3,5,7,5,6,3,9,3,0,2,2,9,9,9,5,1,5,8,7,1,5,4,7,5,2,7,1,9,6,4,7,7,1,5,1,9

23 th preferred transmission sequence:

9,8,4,6,9,0,9,8,7,8,4,5,3,3,4,0,0,3,9,6,9,6,4,1,5,8,3,1,9,9,7,8,2,4,5,1,5,7,6,9,3,5,4,5,7,4,2,5,0,9,3,3,6,8,7,6,9,2,5,0,6,6,9,0,5,6,6,5,0,0,2,8,7,5,4,0,4,1,3,3,1,3,8,4,3,5,8,8,9,9,9,7,7,0,8,9,9,0,9,1,5,1,6,8,6,8,5,0,1,9,0,8,5,4,5,0,4,2,1,4,4,2,4,5,0,9,6,8,1,2,6,9,4,5,8,7,8,4,6,7,5,9,7,5,5,4,6,8,0,9,8,4,2,5,6,4,3,9,4,2,8,3,2,4,2,9,4,3,8,0,2,8,8,5,8,5,8,7,2,5,1,7,6,8,7,1,7,0,4,6,0,2,9,5,8,9,1,9,5,3

24 th preferred transmission sequence:

5,9,5,7,9,6,7,5,1,3,4,7,0,0,0,5,3,6,4,0,1,6,2,2,6,3,8,3,2,4,2,5,9,6,1,9,2,4,5,6,0,1,4,6,1,4,5,5,8,9,6,3,8,8,8,1,5,0,9,7,6,3,4,3,9,0,2,9,6,7,4,2,2,9,1,5,6,9,3,1,6,1,5,6,9,3,4,7,1,6,6,2,9,3,8,3,5,2,5,1,5,2,4,1,0,2,6,8,9,4,7,7,2,1,4,4,6,2,7,7,4,2,2,5,1,0,9,9,0,5,7,0,9,4,2,3,9,7,5,6,6,1,1,3,3,6,2,5,7,7,3,8,5,4,1,7,7,8,8,0,0,6,8,9,2,1,5,6,5,5,3,9,6,1,2,4,4,9,0,3,8,8,2,6,3,2,8,4,3,8,2,0,4,6,3,0,2,5,9,0

25 th preferred transmission sequence:

8,5,2,7,5,9,4,3,5,6,4,5,0,9,5,7,0,3,1,0,0,0,6,5,0,5,2,0,2,3,1,1,7,7,5,4,1,3,2,1,7,3,5,7,8,8,5,4,5,0,5,6,6,4,4,2,8,4,2,8,3,8,0,8,0,2,0,9,1,5,8,3,0,2,2,3,2,9,2,3,3,8,1,2,0,3,3,4,6,3,2,5,5,4,1,3,6,7,1,0,1,7,5,1,7,8,3,9,9,3,6,7,1,9,3,8,2,4,7,3,1,5,1,9,0,3,8,9,1,8,0,9,3,7,7,4,1,9,2,3,2,7,5,6,4,5,0,2,1,1,9,1,5,8,2,9,4,1,3,7,6,0,7,6,2,3,3,9,9,0,4,5,7,4,2,4,2,0,7,8,3,7,5,8,7,6,3,5,7,6,4,3,7,3,5,5,0,6,4,5

26 th preferred transmission sequence:

6,8,5,0,6,5,8,2,6,5,6,8,9,3,0,0,2,1,4,8,1,8,3,7,6,5,7,8,8,4,1,6,0,0,3,6,6,6,0,2,7,1,0,3,1,1,7,7,6,0,1,1,0,1,5,1,8,1,7,9,1,2,3,3,5,7,6,5,2,5,7,7,6,0,6,9,5,1,5,5,7,6,1,9,4,3,2,7,0,6,2,7,2,0,4,5,5,8,1,0,9,4,7,9,4,1,1,3,3,1,9,7,1,8,9,5,4,5,8,2,5,1,8,0,0,2,9,8,6,9,6,4,2,0,9,3,3,1,8,9,5,4,2,6,6,1,5,9,7,9,5,6,7,0,3,8,7,0,3,3,5,9,1,4,4,9,3,8,6,5,2,0,9,2,4,8,2,8,3,2,0,6,1,8,4,7,1,3,7,6,9,9,7,1,2,7,2,1,7,8

27 th preferred transmission sequence:

7,8,0,7,5,1,9,2,8,6,0,1,5,7,9,3,8,6,5,3,3,8,4,5,0,8,8,1,3,4,6,6,4,9,9,2,0,7,2,4,8,4,1,4,5,9,9,1,9,1,3,0,9,0,0,8,0,9,1,0,1,0,7,7,9,1,6,3,2,2,1,9,8,2,1,2,2,1,6,6,3,3,8,3,9,6,1,5,1,4,4,9,6,8,6,6,1,6,9,3,5,2,1,7,8,1,5,1,8,5,6,5,3,2,7,8,8,2,0,0,3,5,9,7,5,7,6,8,8,1,9,9,1,1,8,8,0,9,9,2,5,1,3,6,0,4,2,7,8,1,3,6,2,6,0,5,4,2,1,0,9,2,8,2,5,4,5,4,7,4,8,3,2,0,4,4,9,3,6,6,4,3,3,6,6,2,3,4,9,3,2,3,6,5,0,1,2,2,2,5

28 th preferred transmission sequence:

3,4,4,7,3,2,0,3,9,4,3,7,1,6,8,0,3,8,3,2,2,2,6,0,0,7,0,4,9,3,7,5,9,2,1,9,2,2,6,1,1,1,8,0,6,5,3,4,7,7,6,0,8,8,8,6,4,9,3,1,6,6,6,7,1,6,5,6,5,7,0,9,1,6,9,6,3,4,8,9,8,8,1,9,9,3,7,0,3,5,2,7,9,7,7,1,1,8,7,4,7,7,5,9,3,2,7,8,6,4,1,9,6,8,3,1,0,6,3,3,1,9,4,7,8,2,0,3,9,0,1,2,2,2,8,6,0,9,2,9,2,2,3,4,7,9,4,2,9,4,2,9,3,1,3,6,5,8,3,6,3,6,5,4,9,5,2,8,2,7,1,7,6,3,4,9,0,8,7,0,2,0,1,1,4,0,6,0,9,1,0,8,1,4,9,4,1,8,8,2

29 th preferred transmission sequence:

0,8,3,5,7,2,8,6,1,6,6,7,0,6,0,0,8,0,1,5,2,7,1,2,5,1,6,3,7,5,4,9,2,5,6,3,2,4,0,7,2,5,3,9,8,6,8,4,7,0,8,7,3,6,0,2,1,7,6,9,7,2,7,7,4,2,9,6,4,2,6,5,9,3,2,9,8,9,3,1,3,4,2,4,6,8,2,4,0,2,6,8,2,0,1,5,8,5,9,3,9,0,0,0,1,3,5,2,6,4,8,2,0,6,5,0,0,5,8,0,3,6,9,8,7,6,8,3,0,8,1,4,5,1,4,9,5,5,2,0,1,9,9,5,0,7,5,9,8,2,9,2,5,1,5,2,5,4,8,9,5,2,5,5,0,7,3,3,8,6,1,6,8,6,6,7,0,7,4,3,2,3,3,5,3,2,7,3,1,9,4,2,5,6,1,9,1,4,7,0

30 th preferred transmission sequence:

3,5,3,9,2,2,7,3,6,3,7,7,2,8,2,3,4,8,7,8,5,9,4,0,3,2,6,6,4,4,9,4,0,7,4,3,2,9,5,4,6,2,3,4,4,0,9,5,7,7,0,9,8,5,6,7,2,0,5,7,2,3,2,9,2,5,8,2,0,1,6,0,3,5,5,1,1,7,3,6,7,7,2,0,8,4,6,2,6,5,6,6,6,5,0,2,5,1,6,0,5,5,4,5,8,1,7,5,6,5,9,2,1,0,8,0,7,5,8,4,0,2,4,5,5,9,2,5,2,9,2,5,9,8,1,2,2,6,7,8,6,9,2,1,1,7,8,8,4,7,9,3,1,7,2,8,9,0,8,1,5,7,2,5,0,4,4,1,0,9,4,7,5,9,5,7,1,5,4,7,0,0,8,5,2,3,6,5,3,6,7,3,7,7,5,3,9,5,1,8

31 st preferred transmission sequence:

1,0,5,1,5,9,5,6,3,3,3,6,1,8,3,3,9,0,5,5,8,5,5,3,6,1,3,0,3,5,7,7,1,5,8,7,6,6,3,9,1,6,2,2,7,4,7,9,9,0,9,5,0,1,9,8,5,9,6,4,4,3,1,9,7,6,9,1,5,7,2,5,7,0,1,6,3,8,3,1,6,9,6,2,5,3,7,0,4,7,5,4,6,3,6,2,6,4,7,2,9,4,0,4,3,8,1,5,9,9,1,5,8,0,6,7,6,7,8,2,5,4,5,7,6,1,9,3,1,9,0,5,8,8,2,8,5,2,3,6,0,3,4,7,5,7,1,7,5,0,8,0,5,4,4,4,6,9,4,5,5,8,5,1,1,9,0,1,2,6,6,0,3,6,1,7,8,6,6,4,3,2,8,3,4,4,7,7,8,0,5,1,7,5,2,0,4,8,1,3

32 th preferred transmission sequence:

1,3,5,7,6,2,3,4,1,6,9,5,8,9,3,9,3,6,4,5,2,7,0,6,8,7,5,7,3,5,8,6,9,2,1,5,5,7,2,3,1,1,2,2,9,7,3,2,2,1,5,3,7,6,9,5,6,4,8,7,1,1,5,1,0,3,5,1,2,9,8,3,6,5,6,5,5,1,6,5,9,8,5,2,6,6,6,0,0,5,7,3,7,0,5,5,2,0,4,5,8,5,0,7,1,0,4,4,0,8,4,8,8,8,1,2,5,1,7,9,5,9,8,7,9,9,3,5,6,5,0,2,4,9,2,3,2,7,9,8,3,5,6,2,6,4,7,0,7,2,1,3,3,2,4,9,4,0,0,3,2,6,2,6,8,6,1,5,4,7,1,9,3,7,4,0,8,5,5,8,8,5,3,8,3,2,9,3,6,9,7,0,8,3,8,2,8,3,4,1

33 th preferred transmission sequence:

0,1,9,2,9,1,1,0,8,2,5,3,0,7,6,8,8,3,1,5,8,2,6,3,2,3,8,8,6,7,7,4,7,3,2,3,7,4,4,7,2,4,6,0,7,9,5,5,2,9,3,1,7,4,0,9,1,4,7,8,8,5,8,6,5,7,3,9,1,0,4,5,4,1,4,7,4,7,2,1,2,2,8,9,2,1,9,0,3,7,1,5,3,9,5,7,7,4,6,4,0,4,4,1,0,4,8,2,0,4,7,5,8,8,3,5,4,3,2,1,7,5,8,1,2,1,0,3,6,1,8,0,3,2,1,7,0,4,5,8,0,1,0,7,1,2,8,7,4,5,3,8,8,5,1,9,3,3,0,9,8,1,7,9,0,9,5,5,5,6,2,7,8,3,3,7,1,4,6,4,9,2,5,5,8,9,5,0,9,2,9,7,8,2,6,5,2,7,0,8

34 th preferred transmission sequence:

9,4,6,0,2,4,7,2,4,2,5,5,1,1,8,2,1,5,7,0,4,7,4,5,3,5,4,4,6,9,8,2,5,1,1,7,4,2,9,1,4,9,1,5,8,9,8,1,7,0,6,3,7,2,0,8,3,3,9,9,7,4,3,9,0,2,2,5,3,9,8,8,0,7,2,6,9,9,6,6,8,1,9,2,3,2,3,1,8,3,1,8,6,1,4,4,9,2,7,7,2,0,8,4,4,1,6,3,3,3,2,7,4,2,4,3,9,7,1,0,5,0,8,9,9,5,8,8,8,0,8,6,4,2,1,5,9,1,1,1,9,9,0,2,9,9,7,6,9,1,8,0,6,4,3,9,3,3,1,2,0,1,7,8,6,3,3,4,1,9,8,6,5,4,5,1,0,9,2,5,9,8,8,9,8,0,5,1,3,3,3,5,8,2,0,8,1,5,4,1

35 th preferred transmission sequence:

1,4,5,0,4,3,9,2,2,9,8,7,8,9,8,2,0,8,7,2,2,1,0,0,6,9,4,2,9,4,0,6,0,8,3,1,9,6,5,1,6,2,8,1,3,3,0,0,3,7,8,2,2,3,1,4,5,8,1,8,5,4,5,3,0,3,2,9,6,0,9,5,8,7,4,6,1,8,7,7,3,1,0,5,2,4,2,4,9,4,6,3,8,3,7,3,9,4,0,5,5,5,0,2,6,8,8,6,0,4,2,1,1,0,3,9,6,8,5,5,5,3,8,1,8,2,6,4,1,7,9,3,7,3,8,6,1,7,9,3,8,2,5,2,5,6,0,2,9,5,9,7,5,9,1,6,3,9,6,2,0,3,1,5,1,4,2,6,0,3,5,4,3,0,3,8,5,9,7,6,4,8,0,2,4,1,1,5,8,7,7,2,5,7,0,6,9,3,9,7

36 th preferred transmission sequence:

1,5,7,9,8,7,1,9,4,2,9,6,2,0,8,8,0,1,5,5,3,2,2,7,8,6,2,4,0,4,1,9,2,1,7,7,5,2,6,6,6,5,8,7,6,2,3,7,1,4,6,1,0,7,2,8,8,9,7,0,9,0,8,5,3,5,5,7,4,4,0,9,9,7,6,0,5,4,5,3,2,9,2,3,5,4,1,5,7,1,9,1,7,9,1,6,6,7,6,3,3,4,3,3,2,1,9,1,1,9,3,7,8,9,9,4,5,4,1,4,4,5,8,7,6,7,8,2,2,9,9,0,8,9,8,7,0,8,4,4,6,8,2,1,9,6,8,8,2,1,6,2,9,3,2,9,2,1,9,8,0,8,9,2,9,3,2,3,6,7,9,9,5,6,3,7,0,6,3,3,0,4,4,7,5,1,9,4,0,6,1,2,8,7,4,5,1,8,0,4

37 th preferred transmission sequence:

3,9,2,7,9,8,3,0,9,4,5,3,2,3,1,3,4,7,7,7,2,5,5,2,8,2,2,9,1,2,4,2,2,9,2,4,8,8,2,8,7,2,4,1,0,7,8,8,5,6,5,7,9,5,0,6,6,7,6,8,1,6,8,1,4,6,1,0,4,2,2,7,4,8,7,2,7,4,5,9,7,2,2,1,2,3,6,4,8,1,2,6,9,3,7,6,9,9,8,0,9,9,0,8,3,3,9,0,9,5,1,6,1,5,5,3,6,1,2,9,9,6,7,7,2,2,5,0,0,0,6,5,8,7,0,9,1,7,9,6,5,9,1,9,6,8,1,0,4,5,4,1,3,7,0,6,4,9,1,8,8,4,3,6,6,3,2,9,0,9,8,6,4,0,0,9,0,3,7,7,7,6,2,3,1,3,2,8,0,8,1,3,5,5,7,6,2,4,8,2

preferred transmit sequence 38:

0,6,7,9,7,4,1,1,9,4,3,9,7,2,2,7,4,5,3,6,1,0,7,3,8,0,4,1,3,4,0,3,2,3,1,5,2,1,3,8,4,3,3,4,8,1,7,3,3,0,7,9,9,8,5,2,9,1,3,8,7,3,2,0,8,1,5,9,6,2,3,2,1,2,5,3,6,3,2,0,9,7,2,2,1,6,9,3,9,8,6,1,2,3,7,3,8,9,5,2,4,4,1,0,1,0,1,6,2,2,1,3,8,8,2,9,0,2,5,6,1,7,9,4,3,1,0,2,6,5,7,1,2,3,6,4,9,3,7,5,4,9,6,4,7,9,0,8,2,6,5,7,6,5,0,4,3,1,3,9,6,7,0,3,4,6,8,0,0,9,5,3,6,8,6,7,2,0,7,8,9,0,5,1,6,1,1,9,6,0,1,0,2,3,8,8,1,7,3,6

39 th preferred transmission sequence:

1,3,8,6,6,1,1,0,3,3,0,5,9,0,7,1,2,3,0,6,2,5,5,4,2,2,3,5,6,4,8,3,8,6,0,4,8,8,4,1,1,9,6,6,2,1,3,3,5,6,3,0,0,3,7,9,5,6,5,3,3,2,7,4,0,7,7,2,3,3,4,0,1,3,4,9,9,2,6,1,0,4,0,7,2,3,2,4,4,6,2,3,8,8,3,2,2,2,9,1,4,9,0,7,4,1,2,3,5,5,1,7,5,0,0,1,6,2,7,9,3,2,1,9,8,3,1,8,2,8,4,0,9,5,5,4,7,6,9,4,9,2,7,6,3,0,4,6,0,1,5,2,0,4,6,9,5,7,7,3,2,5,1,1,7,6,6,8,9,8,2,6,0,8,8,7,6,7,0,1,2,1,6,1,6,3,6,9,8,1,2,3,8,6,0,5,3,8,3,3

preferred transmission sequence 40:

1,3,5,7,7,1,9,3,1,2,7,4,9,3,3,7,1,0,6,4,5,5,8,7,9,7,7,2,4,1,7,2,7,8,4,1,1,9,8,7,5,2,9,6,3,4,4,7,8,2,6,6,8,5,4,9,8,7,6,5,5,0,4,2,0,6,5,8,6,1,8,0,0,2,1,7,7,3,6,0,8,6,6,9,2,8,5,2,9,8,7,4,6,6,8,8,2,0,8,9,7,7,5,2,5,1,9,2,4,5,8,6,2,3,1,8,9,9,4,4,2,7,7,5,9,2,2,7,4,1,3,0,3,8,8,7,0,8,6,4,4,9,8,8,3,2,6,8,5,0,0,5,4,6,8,9,5,7,4,3,9,3,6,8,9,2,2,5,1,2,8,1,8,8,3,5,4,7,6,3,8,0,9,0,7,3,8,6,4,8,3,8,7,4,8,6,4,6,0,6

41 st preferred transmission sequence:

2,8,7,0,8,2,0,2,8,8,9,0,2,1,0,8,5,0,1,7,7,5,8,8,1,1,8,2,8,5,7,3,0,8,9,4,9,1,3,8,7,1,3,6,9,7,5,7,5,1,6,9,8,6,5,2,0,6,5,1,9,7,8,1,3,3,2,0,3,8,4,2,7,2,0,7,9,7,3,5,8,5,8,3,8,7,8,2,8,5,8,9,1,6,3,0,6,9,5,5,0,3,2,4,3,5,0,6,0,9,2,5,8,8,9,5,8,8,2,1,8,3,5,5,8,2,8,1,9,8,1,0,8,5,6,3,1,6,0,9,1,1,6,4,8,4,3,6,8,8,4,9,9,3,5,5,0,0,4,9,3,2,5,1,1,6,4,4,3,3,4,6,8,1,2,2,8,1,6,0,1,8,3,0,2,3,6,1,4,9,4,8,6,6,3,8,2,8,0,1

42 th preferred transmission sequence:

4,7,2,0,0,0,9,3,7,0,9,0,8,7,3,1,1,5,0,4,8,0,5,6,1,8,3,2,1,6,1,4,4,3,7,8,2,6,0,6,1,6,6,6,8,3,8,2,2,3,9,1,8,8,8,9,6,0,7,4,6,8,3,4,7,1,1,3,0,6,5,5,1,3,3,7,2,4,5,5,4,9,2,7,3,3,7,4,5,6,8,9,0,1,3,8,8,6,7,9,8,5,4,0,9,4,7,5,8,8,3,6,3,5,2,8,9,1,3,5,2,5,8,7,0,1,1,4,0,9,6,4,5,4,5,7,0,1,2,6,6,2,8,4,2,8,9,7,3,4,9,6,0,2,9,0,0,6,8,8,3,4,9,7,8,8,0,8,4,5,8,9,6,3,4,1,5,1,4,5,9,0,1,2,6,2,2,4,1,5,5,5,4,1,3,8,4,6,6,8

43 th preferred transmission sequence:

1,2,1,5,3,6,0,8,2,5,7,6,1,5,3,0,8,0,8,3,5,3,7,2,0,8,8,9,8,5,6,6,2,8,4,1,4,4,8,8,8,2,6,0,8,9,3,4,3,9,3,2,7,8,6,3,2,4,2,2,0,9,3,5,9,8,8,8,4,8,7,0,7,7,5,3,8,7,0,1,4,3,6,8,3,3,4,4,8,5,3,5,1,6,1,0,9,4,3,1,4,6,0,5,2,5,9,3,9,6,6,6,4,5,3,1,9,9,4,2,6,1,0,5,8,2,1,3,2,0,9,0,0,3,8,4,5,3,1,7,4,6,2,5,3,8,3,4,4,3,9,3,8,5,8,0,8,4,3,7,5,5,0,5,7,0,1,9,2,8,6,2,3,5,0,6,0,1,2,6,5,2,1,2,6,0,6,8,9,1,0,2,0,5,2,5,0,9,6,5

44 th preferred transmission sequence:

2,4,4,6,5,3,8,7,0,7,0,6,3,2,0,8,2,9,2,8,4,5,2,7,1,3,6,4,4,2,6,8,0,2,5,0,7,2,9,1,0,1,6,5,5,8,6,6,9,4,5,0,1,6,0,9,8,2,5,2,2,5,0,8,8,9,1,6,1,8,7,8,4,6,3,4,8,7,0,2,7,1,4,3,6,3,0,0,2,8,0,4,5,8,2,3,9,5,9,4,3,2,7,5,1,9,7,5,7,5,7,2,1,5,7,2,8,2,9,9,3,2,2,0,1,1,5,1,5,1,8,4,9,6,1,6,9,2,6,0,4,6,4,3,2,6,3,4,4,0,2,1,4,8,5,7,6,9,8,3,5,1,4,3,9,6,7,1,2,6,1,1,2,9,8,6,2,2,3,3,5,4,4,2,5,7,1,6,2,4,1,8,3,4,0,6,3,2,0,3

45 th preferred transmission sequence:

2,6,8,8,6,7,1,3,3,4,4,5,6,0,1,7,5,5,8,4,5,4,0,2,6,2,8,4,6,5,9,2,9,3,3,8,5,6,4,4,9,4,5,3,7,0,3,7,0,7,3,2,2,5,9,8,7,3,1,5,9,6,6,8,8,7,0,7,4,1,4,9,4,1,5,2,2,9,5,5,8,7,8,0,0,5,2,7,7,7,6,6,5,3,4,5,8,3,0,4,9,6,0,2,5,3,6,0,4,1,0,2,9,9,7,4,7,3,1,5,2,7,5,8,0,1,0,7,7,7,6,8,8,7,8,6,5,6,9,7,4,4,1,5,5,5,7,0,5,9,5,5,1,7,1,6,0,6,7,9,3,6,8,8,7,6,1,8,6,2,2,0,6,6,6,4,4,1,4,0,2,4,6,1,0,1,3,1,1,6,7,0,1,0,9,8,7,9,9,9

46 th preferred transmission sequence:

6,3,1,1,7,5,4,5,0,6,5,0,4,7,5,3,0,5,2,6,8,2,3,6,0,1,5,0,9,2,2,4,0,4,1,2,7,2,3,1,4,9,5,5,7,1,6,8,8,4,9,7,2,6,4,4,8,4,5,8,7,4,7,5,2,5,1,3,4,7,1,2,8,1,6,2,6,9,6,7,7,6,4,9,2,3,4,0,5,3,2,1,4,7,8,0,8,9,3,2,9,4,6,4,1,2,1,0,7,3,0,5,5,1,1,6,3,1,1,7,0,4,2,2,6,2,1,8,6,4,9,3,3,3,0,4,6,9,4,1,1,1,2,4,8,5,3,1,2,4,9,0,9,3,6,2,5,5,9,7,9,1,8,5,7,8,1,9,3,5,6,3,9,2,8,9,8,9,8,4,6,6,5,6,8,1,8,4,4,2,6,4,7,7,8,3,3,0,9,9

47 th preferred transmission sequence:

9,3,9,1,8,7,7,2,4,8,4,2,3,8,6,4,3,8,7,1,3,6,4,6,0,3,8,2,8,8,9,8,3,3,7,0,2,7,1,5,1,0,5,7,6,7,3,0,5,7,0,8,1,9,0,6,7,8,2,7,0,0,0,4,9,5,3,0,9,8,4,9,0,6,9,8,9,0,2,5,0,6,2,1,6,2,9,4,7,6,2,8,6,9,0,4,3,9,2,4,5,5,0,7,4,7,6,7,7,0,7,4,3,8,1,2,8,5,9,1,1,7,0,0,7,7,1,4,1,3,0,0,1,8,8,3,8,3,3,6,5,2,8,9,2,9,7,9,4,4,6,5,4,4,3,2,6,0,8,4,1,2,7,5,1,2,6,8,4,0,6,5,4,7,9,4,2,7,3,4,1,8,5,7,6,9,1,9,8,6,3,2,1,2,8,4,2,6,5,9

48 th preferred transmission sequence:

9,2,1,1,5,0,3,0,6,8,9,3,3,5,2,2,6,1,2,5,8,0,4,8,3,5,6,4,9,7,1,6,0,2,3,6,8,6,8,2,5,0,6,4,1,2,2,0,5,2,0,4,6,2,8,9,4,2,7,7,6,3,7,6,6,9,2,9,9,2,5,2,6,8,8,7,3,3,2,2,6,1,8,4,0,0,3,6,5,1,6,6,7,1,9,0,4,7,2,0,0,4,1,1,1,9,1,2,1,3,5,8,6,7,8,1,8,0,4,3,3,7,0,5,7,6,3,9,0,3,2,5,2,2,0,7,3,8,4,9,2,0,3,2,2,2,8,5,6,2,4,7,3,6,4,9,5,7,9,8,5,1,4,6,8,3,9,4,3,9,4,1,7,2,8,5,5,7,0,7,8,0,0,8,5,4,7,6,5,5,9,3,4,4,2,4,0,3,4,9

49 th preferred transmission sequence:

8,0,3,0,6,3,3,5,8,4,5,9,1,8,7,6,5,6,2,5,1,0,7,0,6,9,9,6,9,1,1,8,1,6,4,6,9,0,7,5,3,3,2,1,6,7,1,0,8,8,0,3,2,7,1,5,9,9,6,6,3,2,7,0,1,4,1,6,6,2,3,2,7,5,5,4,6,9,7,7,7,9,7,7,2,7,3,5,2,8,9,9,2,0,3,1,6,7,8,1,4,9,9,6,4,0,5,3,5,7,4,3,5,0,6,3,5,9,4,1,2,5,1,7,6,2,9,4,0,2,2,5,1,6,0,3,9,5,1,4,4,0,8,3,4,7,4,2,4,2,1,1,6,6,2,5,3,9,4,0,1,0,1,9,3,3,0,2,6,6,3,0,2,3,1,3,3,0,2,0,6,4,0,9,9,7,8,0,4,6,4,3,7,4,0,8,8,9,2,0

50 th preferred transmission sequence:

4,9,8,3,8,8,8,6,7,6,2,0,4,0,4,1,0,4,6,3,6,6,5,6,3,8,1,0,5,4,9,0,4,4,7,2,6,0,3,2,3,7,1,4,3,3,3,9,6,4,3,0,8,3,3,4,9,9,0,9,8,0,7,3,6,4,5,4,5,0,6,5,9,0,9,3,7,7,7,7,6,8,3,4,0,1,3,4,5,1,6,6,4,0,7,1,4,3,4,4,1,2,9,9,9,0,4,1,4,5,8,5,1,7,4,1,1,5,9,5,7,5,8,1,7,5,7,3,2,3,1,0,9,3,0,4,6,1,6,8,0,0,2,3,5,6,7,6,4,7,8,4,6,9,2,6,7,8,8,4,1,8,8,4,2,1,1,5,1,5,8,8,8,4,8,7,5,6,6,0,8,3,5,0,3,7,0,3,8,3,5,0,7,7,9,9,8,7,7,8。

Technical Field

The invention relates to the field of navigation positioning, in particular to a sending sequence optimization method of a co-located network.

Background

In network communication, common multiple access methods include multiple modes such as frequency division multiple access, time division multiple access, random access, and the like. The frequency division multiple access technology is difficult to use due to the limitation of frequency resources; each node has a large time deviation initially, and is not suitable for use. Therefore, the random access mode becomes the main multi-user access mode.

Compared with the random access of a communication network, the positioning network has different performance requirements in the access aspect, and is mainly characterized by higher requirements in the aspect of high-precision tracking of signal carriers. Therefore, a reasonably designed sending sequence becomes an important premise for realizing multi-user high-precision cooperative positioning by a positioning network.

Disclosure of Invention

The invention mainly solves the technical problem of providing a sending sequence optimization method of a co-location network, and solves the problem of prominent collision effect caused by data sending of nodes in a multiple access network due to the fact that the correlation of the sending sequence cannot be optimally designed in the prior art.

In order to solve the above technical problem, one technical solution adopted by the present invention is to provide a method for optimizing a sending sequence of a co-located network, comprising the steps of: step S1: determining the number of nodes in the cooperative positioning network to be K, wherein each node corresponds to an initial transmission sequence, the total number of the nodes is K, each initial transmission sequence is a periodic sequence formed by 0 and 1 randomly, the period length is N, wherein 0 represents a time slot for receiving a signal, and 1 represents a time slot for transmitting the signal; step S2: dividing N time slots corresponding to the cycle length N into m time slot subframes, randomly selecting one time slot in each time slot subframe of each initial sending sequence as a time slot for sending a signal, and using other time slots in the time slot subframes as time slots for receiving the signal so as to realize that each initial sending sequence only occupies m time slots for sending the signal in the N time slots; step S3: calculating a correlation function C of any two of the K initial transmission sequencesi,j(σ) where k represents a phase offset amount of the ith initial transmission sequence and the jth initial transmission sequence,Tburdenotes the time length of the time slot, epsilon denotes the time length relative to TburBy the amount of time length deviation of, andi,j(sigma) calculating the root mean square value of the cross-correlation values, the maximum mean value of every two cross-correlation values, and further calculating to obtain an initial maximum cross-correlation value; step S4: from the K initialsSelecting an initial sending sequence from the sending sequences as a regulation sending sequence, and randomly adjusting the position of a 1 time slot in each time slot subframe of the regulation sending sequence; then calculating a correlation function between the regulated transmission sequence and other K-1 initial transmission sequences according to the method in the step S3, and further calculating to obtain a regulated maximum cross-correlation value, replacing the initial transmission sequence with the regulated transmission sequence if the regulated maximum cross-correlation value is smaller than the initial maximum cross-correlation value, and keeping the initial transmission sequence if the regulated maximum cross-correlation value is larger than or equal to the initial maximum cross-correlation value; step S5: and according to the same method as the step S4, processing other K-1 initial sending sequences in the K initial sending sequences to respectively obtain corresponding regulating and controlling sending sequences or keep the corresponding initial sending sequences, and finally obtaining K optimized and selected optimal sending sequences.

Preferably, in step S3, the root mean square value of the cross-correlation value is:

preferably, in step S3, the maximum mean of the pairwise cross-correlation values is:

preferably, in step S3, a weighting factor α is taken, and the initial maximum cross-correlation value is calculated as: ct=α·Cmm+(1+α)·Crms

Preferably, the number K of nodes in the fixed-co-location network is 50, the period length N is 2000, the number m of slot subframes is 200, and 2 ∈ is 19Tbur,σ∈[-19,19]Each time slot TburThe weighting factor α is 0.5 for 1 ms.

The invention has the beneficial effects that: the invention discloses a sending sequence optimization method of a co-location network. The method comprises the steps of determining initial sending sequences with corresponding number according to the number of nodes, corresponding time slots of the initial sending sequences, dividing the time slots into time slot frames, calculating correlation functions, root mean square values of cross-correlation values, maximum value mean values of pairwise correlation values and initial maximum cross-correlation values of any two sequences, adjusting the positions of corresponding 1 time slots in the initial sending sequences, further calculating the regulated maximum cross-correlation values corresponding to the regulated sending sequences, and comparing the regulated maximum cross-correlation values with the initial maximum cross-correlation values to determine whether the regulated sending sequences are reserved or not until all the initial sending sequences are adjusted. The mean value of the maximum cross-correlation values of all the sending sequences obtained by the method is obviously reduced, and the performance is far superior to that of the randomly generated sequences.

Drawings

FIG. 1 is a flow diagram of one embodiment of a preferred method of transmitting sequences for a co-located network in accordance with the present invention;

fig. 2 is a schematic diagram of a transmission sequence and time slot relationship in an embodiment of a preferred method for transmitting a sequence in a co-located network according to the present invention.

Detailed Description

In order to facilitate an understanding of the invention, the invention is described in more detail below with reference to the accompanying drawings and specific examples. Preferred embodiments of the present invention are shown in the drawings. This invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete.

It is to be noted that, unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. The terminology used in the description of the invention herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.

As shown in fig. 1, the present invention provides an embodiment of a preferred method for sending sequence of a co-located network, which includes the following steps:

step S1: determining the number of nodes in the cooperative positioning network to be K, wherein each node corresponds to an initial transmission sequence, the total number of the nodes is K, each initial transmission sequence is a periodic sequence formed by 0 and 1 randomly, the period length is N, wherein 0 represents a time slot for receiving a signal, and 1 represents a time slot for transmitting the signal;

in this regard, the relationship between the time slots and the transmission sequence can be described with reference to fig. 2, in which the node transmits a signal to the outside in the time slot corresponding to the transmission sequence 1 and receives a signal in the time slot corresponding to the transmission sequence 0 as shown in fig. 2.

Because the distances between the nodes in the network are different, the time relationship between the transmission sequence of one node i and the transmission sequence of another node j after the signal transmitted by the node i reaches the another node j cannot be guaranteed. In the process of sending signals from the node i to the node j, it is found that when the signal from the node i reaches the node j, two situations may occur: (1) if the node j is in a receiving state, the signal of the node i is received; (2) when the node j is in a transmitting state, the signal of the node i cannot be received, i.e. a collision occurs.

It should be noted that, when multiple access is implemented by CDMA between nodes, theoretically, this "collision" may only cause transmission of signals from node i to node j without affecting reception of signals from node i and node j by other nodes, for example, different node signals are modulated by different spreading codes, and at this time, although signals from node i and node j coincide in time or partially coincide in the case of collision, signals from node i and node j may still be received by other nodes. For the co-location network, the invention preferably adopts a code division multiple access mode realized by a direct sequence spread spectrum mode to distinguish different user nodes.

Step S2: dividing N time slots corresponding to the cycle length N into m time slot subframes, randomly selecting one time slot in each time slot subframe of each initial sending sequence as a time slot for sending a signal, and using other time slots in the time slot subframes as time slots for receiving the signal so as to realize that each initial sending sequence only occupies m time slots for sending the signal in the N time slots;

for example, the number of slots here is 2000, where each 10 slots constitute a slot subframe, there are 200 slot subframes, and for 10 slots in each slot subframe, only one slot corresponds to a transmission sequence whose value is 1, and all other 9 slots correspond to transmission sequences whose values are 0. The time slot sub-frames are constructed to facilitate grouping of the time slots, and only the time slots for sending signals need to be adjusted in each time slot sub-frame during subsequent adjustment and optimization, so that the calculation amount is reduced, and the good characteristics of the whole optimization selection can be ensured.

Step S3: calculating a correlation function C of any two of the K initial transmission sequencesi,j(σ) where σ denotes a phase offset amount of the ith initial transmission sequence and the jth initial transmission sequence,and from Ci,j(sigma) calculating the root mean square value of the cross-correlation values, the maximum mean value of every two cross-correlation values, and further calculating to obtain an initial maximum cross-correlation value;

here TburDenotes the time length of the time slot, epsilon denotes the time length relative to TburThe amount of time length deviation.

Preferably, the collision of the transmission signal bursts is represented by a cross-correlation function of the transmission sequences of the nodes. The transmission sequence is composed of '0' and '1', and the cross-correlation function of the two transmission sequences represents the collision times of the two transmission sequences under different relative phases. Thus, the following quantities directly affect the performance, i.e. the signal energy loss due to collisions: (1) the root mean square value of the cross-correlation value corresponds to the average signal energy loss; (2) the mean of the maximum of the cross-correlation values of any two transmitted sequences. The average value of the worst case signal energy loss when any node receives other node signals; (3) the maximum cross-correlation value. Indicating the loss of signal energy in the worst case.

Step S4: selecting one initial sending sequence from the K initial sending sequences as a regulation and control sending sequence, and randomly adjusting the position of a 1 time slot in each time slot subframe of the regulation and control sending sequence; then according to the method in step S3, calculating a correlation function between the regulated transmission sequence and other K-1 initial transmission sequences, and further calculating to obtain a regulated maximum cross-correlation value, if the regulated maximum cross-correlation value is smaller than the initial maximum cross-correlation value, replacing the initial transmission sequence with the regulated transmission sequence, and if the regulated maximum cross-correlation value is greater than or equal to the initial maximum cross-correlation value, retaining the initial transmission sequence;

step S5: and according to the same method as the step S4, processing other K-1 initial sending sequences in the K initial sending sequences to respectively obtain corresponding regulating and controlling sending sequences or keep the corresponding initial sending sequences, and finally obtaining K optimized and selected optimal sending sequences.

Preferably, in step S3, the root mean square value of the cross-correlation value is:

preferably, in step S3, the maximum mean of the pairwise cross-correlation values is:

preferably, in step S3, a weighting factor α is taken, and the initial maximum cross-correlation value is calculated as: ct=α·Cmm+(1+α)·Crms

Preferably, the number K of nodes in the fixed-co-location network is 50, the period length N is 2000, the number m of slot subframes is 200, and 2 ∈ is 19Tbur,σ∈[-19,19]Each time slot Tbur1ms, wherein the weighting factor α is 0.5 when calculating the initial maximum cross-correlation value and the manipulated maximum cross-correlation value.

Preferably, according to the above parameters, the 50 preferred transmission sequences are finally obtained as follows, wherein each number indicates the position of "1" in the slot subframe, each slot subframe has 10 slots, and each preferred transmission sequence has 200 slot subframes. For example, the first "2" in the 1 st preferred transmission sequence indicates that in the 1 st slot subframe, from 0 slot to 9 slots, the sequence value corresponding to 2 slots is 1, and the sequence values at the rest positions are 0.

1 st preferred transmission sequence:

2,1,2,8,6,7,3,4,9,7,9,7,4,9,6,4,6,3,3,5,4,2,0,2,8,8,8,8,1,3,4,6,4,4,4,6,2,9,4,4,5,6,6,9,8,7,2,0,8,5,8,0,6,9,9,9,7,3,5,7,5,3,9,9,9,5,9,6,7,2,7,1,4,3,8,1,5,9,9,7,1,7,3,3,2,7,3,9,2,2,7,6,1,3,5,7,1,6,7,9,3,4,9,8,7,8,3,2,4,3,6,6,0,1,5,9,0,9,8,5,5,4,7,4,1,2,5,6,2,4,8,0,2,0,9,6,2,3,7,2,1,7,8,0,3,0,6,0,7,4,9,5,2,6,4,8,2,6,0,8,6,5,6,3,5,1,5,3,7,7,3,7,1,7,6,8,0,8,9,0,3,5,8,3,7,3,0,5,7,6,5,9,7,7,1,3,9,0,7,3

preferred transmission sequence 2:

6,1,5,1,7,0,1,0,0,1,9,3,9,0,5,3,5,5,4,8,5,6,3,0,4,4,4,6,5,9,4,3,3,9,1,4,0,4,3,7,7,6,5,5,7,5,4,9,5,6,1,9,6,9,6,7,6,0,5,9,1,1,3,2,1,1,6,0,2,3,2,7,9,2,4,7,6,7,0,2,8,1,5,2,8,2,1,8,2,4,4,6,9,5,5,9,5,4,9,1,7,1,7,5,1,2,6,2,7,4,6,7,1,2,4,3,5,5,3,5,6,6,5,1,0,6,8,6,9,2,3,1,5,2,6,1,9,9,2,6,3,5,1,2,4,0,5,1,3,8,6,5,0,9,3,6,3,2,1,3,4,4,4,6,8,3,9,0,3,6,6,6,8,3,7,7,6,1,5,5,5,5,5,3,6,0,4,6,7,6,3,0,5,3,6,0,3,7,9,8

preferred transmission sequence 3:

0,1,6,5,2,7,4,2,7,3,3,1,1,3,5,0,5,4,3,6,1,4,1,0,4,2,3,8,9,8,5,3,3,9,3,9,5,9,2,6,0,5,6,9,6,3,8,7,3,1,8,1,1,8,3,4,6,6,2,6,0,4,6,7,0,6,9,2,4,7,4,9,3,0,0,9,6,0,7,6,9,7,8,1,2,9,1,8,8,6,4,8,3,8,9,0,3,8,0,8,0,2,7,1,1,0,6,2,5,4,7,7,5,7,5,2,4,5,5,2,0,1,5,6,2,6,7,7,9,5,7,0,0,6,7,5,6,4,3,7,1,9,4,7,9,6,2,0,5,1,4,2,5,7,2,2,3,5,2,0,1,8,0,1,5,0,9,5,6,6,7,1,3,6,1,0,7,6,8,8,7,9,5,1,1,3,0,3,5,8,2,5,3,9,0,7,4,3,2,4

preferred transmission sequence No. 4:

0,6,7,6,7,1,9,0,5,3,3,4,1,0,8,5,2,3,9,3,2,7,9,7,0,8,5,2,9,9,2,7,4,9,1,8,7,1,5,7,7,5,1,2,7,0,8,6,7,7,4,4,2,6,0,7,0,6,0,4,9,9,2,3,7,0,4,2,8,6,4,5,6,0,9,6,6,4,7,5,7,9,9,3,6,5,6,7,4,8,1,6,1,2,3,2,7,3,0,6,3,4,3,6,1,8,8,2,6,6,1,8,8,1,8,1,3,4,4,3,9,2,4,6,9,7,0,7,4,8,8,1,9,4,8,3,0,3,0,5,6,4,2,2,0,3,5,9,8,9,9,7,0,2,0,8,6,7,0,2,5,1,3,9,1,4,5,9,1,5,0,2,2,4,9,9,2,0,3,5,8,9,1,7,5,2,6,7,9,5,7,1,3,6,5,2,8,2,2,0

5 th preferred transmission sequence:

3,6,5,6,1,0,1,2,4,3,1,8,3,6,2,2,1,5,8,9,7,1,8,9,9,1,2,3,3,6,3,0,1,4,6,6,2,2,4,6,6,6,0,8,2,8,9,7,1,1,7,4,3,4,3,0,3,2,0,4,2,8,6,1,3,1,4,5,7,0,7,5,2,7,4,6,5,9,7,2,1,4,2,5,0,4,4,6,9,4,5,3,3,8,0,9,7,1,9,8,9,0,8,7,9,4,7,5,2,3,8,5,0,8,8,9,4,9,3,8,4,0,7,2,4,4,6,4,2,9,2,9,8,4,9,0,5,6,8,8,2,6,5,3,3,6,4,1,4,0,1,6,0,5,5,7,5,2,3,6,8,4,9,1,5,4,5,9,8,4,9,9,2,8,0,6,1,7,5,1,0,8,3,5,8,4,9,6,5,3,1,6,5,6,6,4,2,7,2,5

preferred transmit sequence 6:

2,0,7,6,5,6,9,0,8,4,1,9,6,6,5,6,8,3,1,4,8,2,2,3,1,6,6,1,6,3,9,9,3,7,9,1,0,6,1,1,8,4,8,0,9,6,8,1,6,7,1,3,6,1,5,9,5,2,9,2,1,5,6,3,5,9,1,6,7,1,0,2,1,6,2,9,5,0,2,1,7,7,2,4,2,4,8,8,9,9,0,4,4,8,6,1,8,0,7,9,2,0,1,2,6,6,9,2,9,6,5,1,1,3,6,5,4,8,3,9,8,6,6,8,7,3,0,2,7,5,6,1,4,9,0,4,4,9,5,8,2,0,6,1,9,2,9,0,9,0,5,3,6,4,4,8,9,7,8,2,0,3,2,6,0,4,7,0,5,5,8,5,3,8,7,4,2,3,4,7,1,3,1,0,6,2,6,7,4,6,6,6,7,6,7,4,9,5,4,4

7 th preferred transmission sequence:

1,0,2,9,7,6,9,6,4,7,9,9,8,8,8,4,6,3,8,1,9,8,9,4,0,9,6,2,8,4,9,5,8,9,5,7,2,6,2,5,2,8,6,2,8,4,5,8,8,0,5,2,6,6,7,2,3,6,1,7,3,4,1,4,5,4,8,4,1,0,1,4,3,3,6,1,4,2,7,0,5,0,0,2,6,7,6,3,6,1,4,8,2,9,3,8,8,8,6,1,9,2,6,3,6,2,3,9,9,2,7,3,4,2,6,0,6,1,4,8,0,9,1,7,4,6,1,6,3,9,8,4,3,4,1,1,8,0,0,3,1,2,6,7,8,9,5,8,8,1,0,6,1,7,3,4,2,1,4,9,4,9,6,4,4,4,1,7,5,8,1,3,1,6,1,4,7,2,5,1,5,7,4,9,5,0,2,6,3,4,1,2,2,3,7,5,6,9,1,9

preferred transmission sequence 8:

0,7,0,2,5,6,7,2,4,5,4,7,8,1,2,3,9,4,5,0,3,8,8,6,4,6,8,4,9,7,8,8,6,4,4,6,3,1,2,2,3,5,0,8,8,5,0,9,4,0,5,6,8,3,1,6,8,8,4,4,9,5,6,9,9,6,0,9,6,6,7,2,6,6,2,7,9,4,7,6,5,4,4,4,3,8,7,9,2,5,1,9,5,0,1,0,9,3,8,8,7,4,0,0,3,9,9,0,1,4,4,7,3,4,8,0,2,3,2,5,5,6,7,7,7,7,4,6,1,9,4,2,1,0,2,0,9,9,0,4,1,6,5,9,1,7,7,9,0,6,8,4,0,8,4,5,8,5,0,7,2,3,1,5,9,9,6,4,6,5,8,0,1,3,6,5,5,1,6,1,4,6,5,0,9,0,6,1,0,8,2,8,7,0,1,4,0,1,2,4

preferred transmission sequence 9:

3,0,6,4,8,3,9,4,0,1,6,5,5,5,2,3,7,7,7,4,9,2,6,2,8,0,1,4,8,3,0,2,1,0,2,9,6,2,3,4,0,2,7,5,2,5,2,2,2,8,1,6,9,6,1,2,3,6,9,6,9,9,6,2,3,3,5,9,2,8,8,5,2,0,6,3,7,5,9,3,3,7,5,3,1,9,3,0,9,6,5,6,8,8,9,2,9,4,6,3,4,6,0,4,5,8,7,0,7,3,8,8,5,9,3,6,9,3,0,1,8,7,9,1,8,0,7,3,0,9,3,3,8,4,1,3,8,7,0,8,6,9,8,8,0,3,3,9,4,9,6,4,9,4,0,6,7,3,1,1,8,5,7,3,8,9,5,6,4,8,6,7,0,1,6,3,2,1,9,3,3,3,9,0,8,2,4,2,2,3,3,3,1,7,8,9,0,2,4,1

10 th preferred transmission sequence:

5,7,1,1,7,9,7,4,2,8,0,4,1,8,4,1,8,4,5,9,0,6,5,5,0,5,1,5,8,1,7,5,7,6,2,8,3,4,0,8,2,6,4,7,9,0,4,1,9,0,9,1,2,1,7,1,4,6,5,1,3,8,8,7,4,4,5,7,3,7,1,3,9,6,3,4,5,9,2,3,9,2,6,2,1,7,9,0,9,8,5,6,3,9,2,0,5,4,3,8,0,0,8,5,5,0,5,7,3,4,4,8,0,2,1,2,1,6,3,9,8,3,6,8,3,0,0,7,3,7,7,9,1,3,8,1,1,8,1,1,1,1,9,2,9,3,7,9,2,7,3,1,5,9,4,9,4,4,9,6,0,1,3,9,4,3,1,9,2,3,2,0,3,6,3,5,6,3,0,2,1,6,3,9,2,4,1,4,0,7,1,2,4,6,7,7,6,8,4,0

11 th preferred transmission sequence:

7,1,2,9,9,0,0,2,7,1,6,5,9,1,4,9,9,9,0,1,2,5,7,1,6,6,6,5,6,5,8,5,0,0,9,4,5,3,4,7,5,2,2,1,9,9,9,8,8,7,7,6,9,7,2,4,7,6,6,8,7,9,6,2,9,9,9,6,6,7,0,7,0,0,1,8,1,7,8,9,3,6,5,8,6,2,3,4,7,9,4,2,9,8,8,8,8,1,5,6,0,4,3,3,5,7,1,1,8,9,0,7,1,5,8,1,3,0,9,6,4,1,6,7,6,0,6,9,5,9,2,6,7,6,9,8,8,4,9,6,5,6,4,5,7,8,3,1,7,7,5,5,6,5,3,9,4,5,4,6,8,2,2,4,3,0,8,6,9,9,8,2,3,7,1,8,2,8,9,6,0,1,3,0,7,5,8,4,8,0,8,0,3,4,1,3,7,7,1,0

12 th preferred transmission sequence:

5,0,2,0,8,2,9,1,4,5,1,3,7,3,1,8,3,2,6,4,1,7,9,0,0,8,6,9,5,0,8,3,6,6,5,2,5,8,3,9,0,9,9,9,5,5,6,0,6,4,8,3,7,1,7,0,2,6,8,6,8,0,9,4,3,3,3,7,3,3,1,0,0,6,9,1,2,3,5,2,9,1,6,5,8,5,1,8,7,0,4,6,0,4,7,5,5,0,5,7,0,0,7,7,2,1,7,1,3,9,0,2,1,8,2,6,9,4,9,6,2,4,6,8,0,8,9,3,2,0,3,7,2,5,5,1,8,4,3,7,8,4,3,8,3,4,3,2,1,3,1,4,5,1,3,7,0,6,1,8,1,3,3,8,4,5,0,6,3,7,1,2,1,1,8,4,6,9,1,6,1,8,4,6,3,2,3,2,9,2,6,6,3,9,7,6,2,4,7,3

13 th preferred transmission sequence:

7,4,7,2,0,1,6,0,1,7,7,6,6,9,9,5,0,4,2,4,2,3,4,2,5,8,2,6,2,6,2,6,9,4,5,4,2,1,2,9,1,3,1,8,7,2,1,1,1,3,1,1,8,4,1,0,4,1,4,2,9,1,3,4,9,2,2,5,9,4,4,1,6,5,0,8,6,6,0,4,3,3,0,0,2,7,5,9,6,8,5,4,4,0,2,8,5,6,3,1,9,5,2,7,6,1,5,3,8,7,9,5,0,6,8,0,0,7,2,3,8,2,5,8,8,5,6,5,6,9,2,9,5,4,7,1,0,2,3,1,4,2,8,8,4,7,9,3,9,6,5,1,5,6,1,9,9,6,5,4,8,7,6,1,0,9,9,8,0,8,1,4,8,1,3,5,6,9,3,1,6,8,3,1,9,5,5,2,7,2,0,7,7,2,8,1,1,8,0,0

14 th preferred transmission sequence:

2,7,5,9,0,7,7,1,1,3,4,2,7,3,2,3,6,6,8,9,2,1,9,7,6,4,8,9,4,6,1,8,8,7,4,9,3,6,3,0,5,4,7,5,2,6,0,4,7,8,1,7,9,2,1,7,3,2,2,2,2,9,1,5,1,7,0,2,6,7,0,7,5,8,5,7,2,3,1,3,3,6,1,4,3,4,0,5,3,2,1,7,9,0,7,1,2,3,4,7,0,2,8,1,7,0,5,2,6,2,9,1,0,9,8,1,9,6,5,3,5,0,9,6,0,1,7,5,9,7,7,4,5,3,8,0,9,8,5,7,7,1,1,0,0,8,6,7,2,5,6,7,0,5,5,3,0,9,4,8,7,0,2,1,1,9,0,4,5,7,7,4,9,5,9,4,9,7,3,4,3,3,4,4,8,5,8,2,7,1,9,2,3,5,9,8,9,4,3,2

15 th preferred transmission sequence:

1,5,9,0,9,4,5,1,9,2,8,1,9,7,5,5,3,2,8,2,3,0,2,5,6,6,5,0,6,5,4,6,1,4,2,8,6,1,8,3,9,4,6,6,1,5,6,2,3,7,5,8,1,9,9,1,4,9,2,4,9,4,1,2,4,0,7,0,2,1,9,9,7,9,4,8,2,1,7,7,5,6,8,3,1,6,6,3,8,1,3,5,7,4,4,6,4,7,7,9,8,5,5,0,5,1,2,9,3,8,1,6,0,0,9,7,2,2,1,5,9,7,6,2,8,2,9,8,1,9,2,9,7,3,5,1,8,6,3,3,4,2,1,5,0,9,9,3,6,2,4,2,0,0,6,4,1,8,1,6,6,3,3,5,8,0,6,3,7,1,9,9,8,7,6,0,6,0,1,2,9,7,2,0,7,6,3,2,2,1,1,4,8,8,8,7,6,9,0,1

16 th preferred transmission sequence:

4,6,7,5,8,5,1,1,8,3,0,6,9,6,2,7,4,7,8,8,5,9,4,8,5,2,5,9,1,3,9,6,0,6,9,0,9,6,8,2,6,7,0,7,8,4,7,1,3,0,4,0,7,6,9,5,9,6,7,6,4,2,9,8,3,7,5,7,9,3,6,1,2,7,0,1,9,4,8,0,3,8,9,9,3,8,3,8,2,2,6,5,9,4,0,2,4,8,0,0,1,6,7,5,8,0,0,0,7,6,1,6,3,1,5,7,3,0,2,9,6,5,8,0,9,5,4,2,8,7,0,2,7,3,3,5,9,2,3,8,3,9,3,7,1,0,5,5,8,5,4,3,0,7,5,4,5,4,5,1,9,0,8,9,0,6,2,4,7,8,3,6,1,6,6,7,2,1,3,2,2,8,6,4,8,5,2,8,9,9,6,9,6,4,7,1,6,2,0,2

17 th preferred transmission sequence:

7,9,9,2,5,8,4,1,5,5,6,5,8,8,2,2,6,2,0,2,6,1,9,4,5,9,5,0,8,6,3,3,1,2,5,6,1,1,5,7,2,1,1,6,6,1,7,1,8,2,2,7,8,2,7,9,9,3,7,4,1,9,7,7,8,6,9,2,0,9,2,5,3,5,2,9,8,7,9,4,7,2,6,1,0,3,5,3,2,2,2,6,7,8,2,5,1,6,6,3,4,6,1,7,1,2,8,4,9,9,0,7,1,9,3,2,2,2,3,4,9,5,8,5,6,3,1,2,4,4,2,6,1,5,9,0,2,9,3,0,0,1,5,4,5,0,9,9,9,0,4,3,4,4,5,6,3,6,4,1,3,1,4,1,1,1,5,6,2,5,5,9,1,6,4,2,2,9,5,9,8,0,6,4,3,3,8,2,3,8,5,2,6,3,6,4,7,1,4,9

18 th preferred transmission sequence:

4,6,3,0,7,0,9,1,9,1,1,1,3,4,9,6,6,0,8,1,8,9,5,2,6,5,2,3,8,6,5,8,7,0,8,6,2,3,7,0,1,8,4,0,6,1,0,3,3,7,9,4,0,0,6,8,5,4,9,9,5,8,0,5,7,6,4,9,3,5,8,2,4,3,0,0,4,1,8,2,8,2,3,3,1,2,8,9,5,4,7,4,6,0,2,0,9,7,7,9,1,8,0,6,4,1,2,3,9,6,3,9,3,1,2,3,2,2,7,4,3,3,7,5,5,1,0,3,1,0,6,9,4,5,3,5,7,8,4,1,9,3,3,6,6,6,6,9,4,1,7,7,6,8,9,3,8,1,6,8,1,3,2,4,5,4,2,5,6,3,7,4,3,1,7,9,1,5,3,4,7,9,2,9,0,8,3,4,2,8,4,7,4,2,1,0,5,8,0,7

19 th preferred transmission sequence:

1,4,2,0,9,1,2,8,9,2,0,3,8,0,3,9,9,9,3,0,1,8,3,8,8,2,4,6,8,5,1,3,7,8,5,0,9,6,4,7,9,3,6,0,5,7,8,0,1,0,8,3,9,3,4,9,4,7,0,2,3,5,1,3,9,9,4,0,9,3,6,9,9,1,1,1,3,8,4,8,8,2,8,1,2,6,7,1,2,9,0,0,6,6,2,2,3,2,1,9,9,0,5,2,7,0,8,1,4,5,8,8,9,5,3,5,2,4,2,2,5,6,7,0,6,1,1,8,0,4,3,4,0,1,5,4,1,1,9,8,3,1,4,2,8,2,5,5,8,4,8,4,1,6,8,8,8,2,0,6,8,7,8,2,3,7,8,2,2,1,1,4,5,4,5,7,5,0,7,3,8,4,8,8,5,7,3,2,1,0,7,1,6,6,2,8,6,7,9,8

20 th preferred transmission sequence:

7,6,0,0,3,9,0,0,2,5,7,9,0,6,3,2,5,8,6,5,1,2,3,9,2,2,0,1,8,3,3,2,0,7,7,5,6,8,3,6,3,0,1,5,3,5,2,0,8,4,5,3,5,9,3,8,7,2,9,9,3,9,6,0,8,0,3,0,7,7,7,2,0,8,6,0,6,2,1,4,5,2,9,9,8,2,7,7,5,0,8,2,0,7,7,9,3,5,2,5,5,2,6,8,4,9,6,5,6,5,6,3,8,1,9,5,9,3,0,3,4,4,4,7,1,2,9,5,5,8,7,4,2,3,1,2,0,1,2,8,6,1,4,2,5,5,9,0,4,8,5,2,0,4,6,9,0,4,9,9,0,9,6,7,3,6,0,2,8,6,7,8,0,7,3,9,4,3,8,4,3,1,7,1,5,0,3,7,6,2,3,9,2,0,6,8,9,2,0,3

preferred transmission sequence 21:

7,9,3,3,6,8,2,1,7,1,7,3,5,8,9,9,6,8,0,5,5,6,2,2,1,7,8,1,9,7,9,6,1,3,2,6,5,3,6,4,3,0,2,1,8,2,9,6,7,6,9,6,9,3,9,9,1,7,2,4,1,1,5,6,9,5,8,7,0,7,2,2,0,3,5,6,8,2,3,3,6,2,3,3,2,2,8,4,1,9,8,8,5,2,8,2,0,9,9,0,0,2,7,7,1,0,7,8,7,4,8,9,7,5,6,8,6,5,6,7,6,9,7,3,7,5,9,7,8,9,7,0,6,1,3,6,2,0,5,1,3,8,7,2,4,5,6,5,5,3,4,0,2,9,3,7,7,3,3,1,6,3,3,8,4,4,0,9,2,3,8,1,0,2,7,1,2,0,0,9,1,4,9,0,3,7,7,7,9,1,1,4,2,5,1,9,3,9,6,4

22 th preferred transmission sequence:

4,4,6,2,8,9,7,2,7,2,8,5,5,3,7,9,3,7,0,5,6,9,5,4,1,6,5,6,7,4,3,1,2,3,2,7,2,6,9,2,6,4,3,4,6,9,9,3,6,4,3,1,6,3,1,0,5,2,3,0,7,7,6,5,5,8,2,0,1,1,7,2,6,4,4,3,6,6,2,2,0,0,9,8,7,3,6,0,0,0,2,0,4,7,7,4,4,4,2,8,6,0,0,4,2,5,6,7,8,2,7,5,2,8,5,1,3,9,8,3,2,0,6,0,0,5,7,1,4,0,5,1,7,2,4,4,9,4,6,6,2,2,7,1,5,8,3,4,3,1,0,6,5,2,7,3,2,7,1,7,6,0,2,1,3,5,7,5,6,3,9,3,0,2,2,9,9,9,5,1,5,8,7,1,5,4,7,5,2,7,1,9,6,4,7,7,1,5,1,9

23 th preferred transmission sequence:

9,8,4,6,9,0,9,8,7,8,4,5,3,3,4,0,0,3,9,6,9,6,4,1,5,8,3,1,9,9,7,8,2,4,5,1,5,7,6,9,3,5,4,5,7,4,2,5,0,9,3,3,6,8,7,6,9,2,5,0,6,6,9,0,5,6,6,5,0,0,2,8,7,5,4,0,4,1,3,3,1,3,8,4,3,5,8,8,9,9,9,7,7,0,8,9,9,0,9,1,5,1,6,8,6,8,5,0,1,9,0,8,5,4,5,0,4,2,1,4,4,2,4,5,0,9,6,8,1,2,6,9,4,5,8,7,8,4,6,7,5,9,7,5,5,4,6,8,0,9,8,4,2,5,6,4,3,9,4,2,8,3,2,4,2,9,4,3,8,0,2,8,8,5,8,5,8,7,2,5,1,7,6,8,7,1,7,0,4,6,0,2,9,5,8,9,1,9,5,3

24 th preferred transmission sequence:

5,9,5,7,9,6,7,5,1,3,4,7,0,0,0,5,3,6,4,0,1,6,2,2,6,3,8,3,2,4,2,5,9,6,1,9,2,4,5,6,0,1,4,6,1,4,5,5,8,9,6,3,8,8,8,1,5,0,9,7,6,3,4,3,9,0,2,9,6,7,4,2,2,9,1,5,6,9,3,1,6,1,5,6,9,3,4,7,1,6,6,2,9,3,8,3,5,2,5,1,5,2,4,1,0,2,6,8,9,4,7,7,2,1,4,4,6,2,7,7,4,2,2,5,1,0,9,9,0,5,7,0,9,4,2,3,9,7,5,6,6,1,1,3,3,6,2,5,7,7,3,8,5,4,1,7,7,8,8,0,0,6,8,9,2,1,5,6,5,5,3,9,6,1,2,4,4,9,0,3,8,8,2,6,3,2,8,4,3,8,2,0,4,6,3,0,2,5,9,0

25 th preferred transmission sequence:

8,5,2,7,5,9,4,3,5,6,4,5,0,9,5,7,0,3,1,0,0,0,6,5,0,5,2,0,2,3,1,1,7,7,5,4,1,3,2,1,7,3,5,7,8,8,5,4,5,0,5,6,6,4,4,2,8,4,2,8,3,8,0,8,0,2,0,9,1,5,8,3,0,2,2,3,2,9,2,3,3,8,1,2,0,3,3,4,6,3,2,5,5,4,1,3,6,7,1,0,1,7,5,1,7,8,3,9,9,3,6,7,1,9,3,8,2,4,7,3,1,5,1,9,0,3,8,9,1,8,0,9,3,7,7,4,1,9,2,3,2,7,5,6,4,5,0,2,1,1,9,1,5,8,2,9,4,1,3,7,6,0,7,6,2,3,3,9,9,0,4,5,7,4,2,4,2,0,7,8,3,7,5,8,7,6,3,5,7,6,4,3,7,3,5,5,0,6,4,5

26 th preferred transmission sequence:

6,8,5,0,6,5,8,2,6,5,6,8,9,3,0,0,2,1,4,8,1,8,3,7,6,5,7,8,8,4,1,6,0,0,3,6,6,6,0,2,7,1,0,3,1,1,7,7,6,0,1,1,0,1,5,1,8,1,7,9,1,2,3,3,5,7,6,5,2,5,7,7,6,0,6,9,5,1,5,5,7,6,1,9,4,3,2,7,0,6,2,7,2,0,4,5,5,8,1,0,9,4,7,9,4,1,1,3,3,1,9,7,1,8,9,5,4,5,8,2,5,1,8,0,0,2,9,8,6,9,6,4,2,0,9,3,3,1,8,9,5,4,2,6,6,1,5,9,7,9,5,6,7,0,3,8,7,0,3,3,5,9,1,4,4,9,3,8,6,5,2,0,9,2,4,8,2,8,3,2,0,6,1,8,4,7,1,3,7,6,9,9,7,1,2,7,2,1,7,8

27 th preferred transmission sequence:

7,8,0,7,5,1,9,2,8,6,0,1,5,7,9,3,8,6,5,3,3,8,4,5,0,8,8,1,3,4,6,6,4,9,9,2,0,7,2,4,8,4,1,4,5,9,9,1,9,1,3,0,9,0,0,8,0,9,1,0,1,0,7,7,9,1,6,3,2,2,1,9,8,2,1,2,2,1,6,6,3,3,8,3,9,6,1,5,1,4,4,9,6,8,6,6,1,6,9,3,5,2,1,7,8,1,5,1,8,5,6,5,3,2,7,8,8,2,0,0,3,5,9,7,5,7,6,8,8,1,9,9,1,1,8,8,0,9,9,2,5,1,3,6,0,4,2,7,8,1,3,6,2,6,0,5,4,2,1,0,9,2,8,2,5,4,5,4,7,4,8,3,2,0,4,4,9,3,6,6,4,3,3,6,6,2,3,4,9,3,2,3,6,5,0,1,2,2,2,5

28 th preferred transmission sequence:

3,4,4,7,3,2,0,3,9,4,3,7,1,6,8,0,3,8,3,2,2,2,6,0,0,7,0,4,9,3,7,5,9,2,1,9,2,2,6,1,1,1,8,0,6,5,3,4,7,7,6,0,8,8,8,6,4,9,3,1,6,6,6,7,1,6,5,6,5,7,0,9,1,6,9,6,3,4,8,9,8,8,1,9,9,3,7,0,3,5,2,7,9,7,7,1,1,8,7,4,7,7,5,9,3,2,7,8,6,4,1,9,6,8,3,1,0,6,3,3,1,9,4,7,8,2,0,3,9,0,1,2,2,2,8,6,0,9,2,9,2,2,3,4,7,9,4,2,9,4,2,9,3,1,3,6,5,8,3,6,3,6,5,4,9,5,2,8,2,7,1,7,6,3,4,9,0,8,7,0,2,0,1,1,4,0,6,0,9,1,0,8,1,4,9,4,1,8,8,2

29 th preferred transmission sequence:

0,8,3,5,7,2,8,6,1,6,6,7,0,6,0,0,8,0,1,5,2,7,1,2,5,1,6,3,7,5,4,9,2,5,6,3,2,4,0,7,2,5,3,9,8,6,8,4,7,0,8,7,3,6,0,2,1,7,6,9,7,2,7,7,4,2,9,6,4,2,6,5,9,3,2,9,8,9,3,1,3,4,2,4,6,8,2,4,0,2,6,8,2,0,1,5,8,5,9,3,9,0,0,0,1,3,5,2,6,4,8,2,0,6,5,0,0,5,8,0,3,6,9,8,7,6,8,3,0,8,1,4,5,1,4,9,5,5,2,0,1,9,9,5,0,7,5,9,8,2,9,2,5,1,5,2,5,4,8,9,5,2,5,5,0,7,3,3,8,6,1,6,8,6,6,7,0,7,4,3,2,3,3,5,3,2,7,3,1,9,4,2,5,6,1,9,1,4,7,0

30 th preferred transmission sequence:

3,5,3,9,2,2,7,3,6,3,7,7,2,8,2,3,4,8,7,8,5,9,4,0,3,2,6,6,4,4,9,4,0,7,4,3,2,9,5,4,6,2,3,4,4,0,9,5,7,7,0,9,8,5,6,7,2,0,5,7,2,3,2,9,2,5,8,2,0,1,6,0,3,5,5,1,1,7,3,6,7,7,2,0,8,4,6,2,6,5,6,6,6,5,0,2,5,1,6,0,5,5,4,5,8,1,7,5,6,5,9,2,1,0,8,0,7,5,8,4,0,2,4,5,5,9,2,5,2,9,2,5,9,8,1,2,2,6,7,8,6,9,2,1,1,7,8,8,4,7,9,3,1,7,2,8,9,0,8,1,5,7,2,5,0,4,4,1,0,9,4,7,5,9,5,7,1,5,4,7,0,0,8,5,2,3,6,5,3,6,7,3,7,7,5,3,9,5,1,8

31 st preferred transmission sequence:

1,0,5,1,5,9,5,6,3,3,3,6,1,8,3,3,9,0,5,5,8,5,5,3,6,1,3,0,3,5,7,7,1,5,8,7,6,6,3,9,1,6,2,2,7,4,7,9,9,0,9,5,0,1,9,8,5,9,6,4,4,3,1,9,7,6,9,1,5,7,2,5,7,0,1,6,3,8,3,1,6,9,6,2,5,3,7,0,4,7,5,4,6,3,6,2,6,4,7,2,9,4,0,4,3,8,1,5,9,9,1,5,8,0,6,7,6,7,8,2,5,4,5,7,6,1,9,3,1,9,0,5,8,8,2,8,5,2,3,6,0,3,4,7,5,7,1,7,5,0,8,0,5,4,4,4,6,9,4,5,5,8,5,1,1,9,0,1,2,6,6,0,3,6,1,7,8,6,6,4,3,2,8,3,4,4,7,7,8,0,5,1,7,5,2,0,4,8,1,3

32 th preferred transmission sequence:

1,3,5,7,6,2,3,4,1,6,9,5,8,9,3,9,3,6,4,5,2,7,0,6,8,7,5,7,3,5,8,6,9,2,1,5,5,7,2,3,1,1,2,2,9,7,3,2,2,1,5,3,7,6,9,5,6,4,8,7,1,1,5,1,0,3,5,1,2,9,8,3,6,5,6,5,5,1,6,5,9,8,5,2,6,6,6,0,0,5,7,3,7,0,5,5,2,0,4,5,8,5,0,7,1,0,4,4,0,8,4,8,8,8,1,2,5,1,7,9,5,9,8,7,9,9,3,5,6,5,0,2,4,9,2,3,2,7,9,8,3,5,6,2,6,4,7,0,7,2,1,3,3,2,4,9,4,0,0,3,2,6,2,6,8,6,1,5,4,7,1,9,3,7,4,0,8,5,5,8,8,5,3,8,3,2,9,3,6,9,7,0,8,3,8,2,8,3,4,1

33 th preferred transmission sequence:

0,1,9,2,9,1,1,0,8,2,5,3,0,7,6,8,8,3,1,5,8,2,6,3,2,3,8,8,6,7,7,4,7,3,2,3,7,4,4,7,2,4,6,0,7,9,5,5,2,9,3,1,7,4,0,9,1,4,7,8,8,5,8,6,5,7,3,9,1,0,4,5,4,1,4,7,4,7,2,1,2,2,8,9,2,1,9,0,3,7,1,5,3,9,5,7,7,4,6,4,0,4,4,1,0,4,8,2,0,4,7,5,8,8,3,5,4,3,2,1,7,5,8,1,2,1,0,3,6,1,8,0,3,2,1,7,0,4,5,8,0,1,0,7,1,2,8,7,4,5,3,8,8,5,1,9,3,3,0,9,8,1,7,9,0,9,5,5,5,6,2,7,8,3,3,7,1,4,6,4,9,2,5,5,8,9,5,0,9,2,9,7,8,2,6,5,2,7,0,8

34 th preferred transmission sequence:

9,4,6,0,2,4,7,2,4,2,5,5,1,1,8,2,1,5,7,0,4,7,4,5,3,5,4,4,6,9,8,2,5,1,1,7,4,2,9,1,4,9,1,5,8,9,8,1,7,0,6,3,7,2,0,8,3,3,9,9,7,4,3,9,0,2,2,5,3,9,8,8,0,7,2,6,9,9,6,6,8,1,9,2,3,2,3,1,8,3,1,8,6,1,4,4,9,2,7,7,2,0,8,4,4,1,6,3,3,3,2,7,4,2,4,3,9,7,1,0,5,0,8,9,9,5,8,8,8,0,8,6,4,2,1,5,9,1,1,1,9,9,0,2,9,9,7,6,9,1,8,0,6,4,3,9,3,3,1,2,0,1,7,8,6,3,3,4,1,9,8,6,5,4,5,1,0,9,2,5,9,8,8,9,8,0,5,1,3,3,3,5,8,2,0,8,1,5,4,1

35 th preferred transmission sequence:

1,4,5,0,4,3,9,2,2,9,8,7,8,9,8,2,0,8,7,2,2,1,0,0,6,9,4,2,9,4,0,6,0,8,3,1,9,6,5,1,6,2,8,1,3,3,0,0,3,7,8,2,2,3,1,4,5,8,1,8,5,4,5,3,0,3,2,9,6,0,9,5,8,7,4,6,1,8,7,7,3,1,0,5,2,4,2,4,9,4,6,3,8,3,7,3,9,4,0,5,5,5,0,2,6,8,8,6,0,4,2,1,1,0,3,9,6,8,5,5,5,3,8,1,8,2,6,4,1,7,9,3,7,3,8,6,1,7,9,3,8,2,5,2,5,6,0,2,9,5,9,7,5,9,1,6,3,9,6,2,0,3,1,5,1,4,2,6,0,3,5,4,3,0,3,8,5,9,7,6,4,8,0,2,4,1,1,5,8,7,7,2,5,7,0,6,9,3,9,7

36 th preferred transmission sequence:

1,5,7,9,8,7,1,9,4,2,9,6,2,0,8,8,0,1,5,5,3,2,2,7,8,6,2,4,0,4,1,9,2,1,7,7,5,2,6,6,6,5,8,7,6,2,3,7,1,4,6,1,0,7,2,8,8,9,7,0,9,0,8,5,3,5,5,7,4,4,0,9,9,7,6,0,5,4,5,3,2,9,2,3,5,4,1,5,7,1,9,1,7,9,1,6,6,7,6,3,3,4,3,3,2,1,9,1,1,9,3,7,8,9,9,4,5,4,1,4,4,5,8,7,6,7,8,2,2,9,9,0,8,9,8,7,0,8,4,4,6,8,2,1,9,6,8,8,2,1,6,2,9,3,2,9,2,1,9,8,0,8,9,2,9,3,2,3,6,7,9,9,5,6,3,7,0,6,3,3,0,4,4,7,5,1,9,4,0,6,1,2,8,7,4,5,1,8,0,4

37 th preferred transmission sequence:

3,9,2,7,9,8,3,0,9,4,5,3,2,3,1,3,4,7,7,7,2,5,5,2,8,2,2,9,1,2,4,2,2,9,2,4,8,8,2,8,7,2,4,1,0,7,8,8,5,6,5,7,9,5,0,6,6,7,6,8,1,6,8,1,4,6,1,0,4,2,2,7,4,8,7,2,7,4,5,9,7,2,2,1,2,3,6,4,8,1,2,6,9,3,7,6,9,9,8,0,9,9,0,8,3,3,9,0,9,5,1,6,1,5,5,3,6,1,2,9,9,6,7,7,2,2,5,0,0,0,6,5,8,7,0,9,1,7,9,6,5,9,1,9,6,8,1,0,4,5,4,1,3,7,0,6,4,9,1,8,8,4,3,6,6,3,2,9,0,9,8,6,4,0,0,9,0,3,7,7,7,6,2,3,1,3,2,8,0,8,1,3,5,5,7,6,2,4,8,2

preferred transmit sequence 38:

0,6,7,9,7,4,1,1,9,4,3,9,7,2,2,7,4,5,3,6,1,0,7,3,8,0,4,1,3,4,0,3,2,3,1,5,2,1,3,8,4,3,3,4,8,1,7,3,3,0,7,9,9,8,5,2,9,1,3,8,7,3,2,0,8,1,5,9,6,2,3,2,1,2,5,3,6,3,2,0,9,7,2,2,1,6,9,3,9,8,6,1,2,3,7,3,8,9,5,2,4,4,1,0,1,0,1,6,2,2,1,3,8,8,2,9,0,2,5,6,1,7,9,4,3,1,0,2,6,5,7,1,2,3,6,4,9,3,7,5,4,9,6,4,7,9,0,8,2,6,5,7,6,5,0,4,3,1,3,9,6,7,0,3,4,6,8,0,0,9,5,3,6,8,6,7,2,0,7,8,9,0,5,1,6,1,1,9,6,0,1,0,2,3,8,8,1,7,3,6

39 th preferred transmission sequence:

1,3,8,6,6,1,1,0,3,3,0,5,9,0,7,1,2,3,0,6,2,5,5,4,2,2,3,5,6,4,8,3,8,6,0,4,8,8,4,1,1,9,6,6,2,1,3,3,5,6,3,0,0,3,7,9,5,6,5,3,3,2,7,4,0,7,7,2,3,3,4,0,1,3,4,9,9,2,6,1,0,4,0,7,2,3,2,4,4,6,2,3,8,8,3,2,2,2,9,1,4,9,0,7,4,1,2,3,5,5,1,7,5,0,0,1,6,2,7,9,3,2,1,9,8,3,1,8,2,8,4,0,9,5,5,4,7,6,9,4,9,2,7,6,3,0,4,6,0,1,5,2,0,4,6,9,5,7,7,3,2,5,1,1,7,6,6,8,9,8,2,6,0,8,8,7,6,7,0,1,2,1,6,1,6,3,6,9,8,1,2,3,8,6,0,5,3,8,3,3

preferred transmission sequence 40:

1,3,5,7,7,1,9,3,1,2,7,4,9,3,3,7,1,0,6,4,5,5,8,7,9,7,7,2,4,1,7,2,7,8,4,1,1,9,8,7,5,2,9,6,3,4,4,7,8,2,6,6,8,5,4,9,8,7,6,5,5,0,4,2,0,6,5,8,6,1,8,0,0,2,1,7,7,3,6,0,8,6,6,9,2,8,5,2,9,8,7,4,6,6,8,8,2,0,8,9,7,7,5,2,5,1,9,2,4,5,8,6,2,3,1,8,9,9,4,4,2,7,7,5,9,2,2,7,4,1,3,0,3,8,8,7,0,8,6,4,4,9,8,8,3,2,6,8,5,0,0,5,4,6,8,9,5,7,4,3,9,3,6,8,9,2,2,5,1,2,8,1,8,8,3,5,4,7,6,3,8,0,9,0,7,3,8,6,4,8,3,8,7,4,8,6,4,6,0,6

41 st preferred transmission sequence:

2,8,7,0,8,2,0,2,8,8,9,0,2,1,0,8,5,0,1,7,7,5,8,8,1,1,8,2,8,5,7,3,0,8,9,4,9,1,3,8,7,1,3,6,9,7,5,7,5,1,6,9,8,6,5,2,0,6,5,1,9,7,8,1,3,3,2,0,3,8,4,2,7,2,0,7,9,7,3,5,8,5,8,3,8,7,8,2,8,5,8,9,1,6,3,0,6,9,5,5,0,3,2,4,3,5,0,6,0,9,2,5,8,8,9,5,8,8,2,1,8,3,5,5,8,2,8,1,9,8,1,0,8,5,6,3,1,6,0,9,1,1,6,4,8,4,3,6,8,8,4,9,9,3,5,5,0,0,4,9,3,2,5,1,1,6,4,4,3,3,4,6,8,1,2,2,8,1,6,0,1,8,3,0,2,3,6,1,4,9,4,8,6,6,3,8,2,8,0,1

42 th preferred transmission sequence:

4,7,2,0,0,0,9,3,7,0,9,0,8,7,3,1,1,5,0,4,8,0,5,6,1,8,3,2,1,6,1,4,4,3,7,8,2,6,0,6,1,6,6,6,8,3,8,2,2,3,9,1,8,8,8,9,6,0,7,4,6,8,3,4,7,1,1,3,0,6,5,5,1,3,3,7,2,4,5,5,4,9,2,7,3,3,7,4,5,6,8,9,0,1,3,8,8,6,7,9,8,5,4,0,9,4,7,5,8,8,3,6,3,5,2,8,9,1,3,5,2,5,8,7,0,1,1,4,0,9,6,4,5,4,5,7,0,1,2,6,6,2,8,4,2,8,9,7,3,4,9,6,0,2,9,0,0,6,8,8,3,4,9,7,8,8,0,8,4,5,8,9,6,3,4,1,5,1,4,5,9,0,1,2,6,2,2,4,1,5,5,5,4,1,3,8,4,6,6,8

43 th preferred transmission sequence:

1,2,1,5,3,6,0,8,2,5,7,6,1,5,3,0,8,0,8,3,5,3,7,2,0,8,8,9,8,5,6,6,2,8,4,1,4,4,8,8,8,2,6,0,8,9,3,4,3,9,3,2,7,8,6,3,2,4,2,2,0,9,3,5,9,8,8,8,4,8,7,0,7,7,5,3,8,7,0,1,4,3,6,8,3,3,4,4,8,5,3,5,1,6,1,0,9,4,3,1,4,6,0,5,2,5,9,3,9,6,6,6,4,5,3,1,9,9,4,2,6,1,0,5,8,2,1,3,2,0,9,0,0,3,8,4,5,3,1,7,4,6,2,5,3,8,3,4,4,3,9,3,8,5,8,0,8,4,3,7,5,5,0,5,7,0,1,9,2,8,6,2,3,5,0,6,0,1,2,6,5,2,1,2,6,0,6,8,9,1,0,2,0,5,2,5,0,9,6,5

44 th preferred transmission sequence:

2,4,4,6,5,3,8,7,0,7,0,6,3,2,0,8,2,9,2,8,4,5,2,7,1,3,6,4,4,2,6,8,0,2,5,0,7,2,9,1,0,1,6,5,5,8,6,6,9,4,5,0,1,6,0,9,8,2,5,2,2,5,0,8,8,9,1,6,1,8,7,8,4,6,3,4,8,7,0,2,7,1,4,3,6,3,0,0,2,8,0,4,5,8,2,3,9,5,9,4,3,2,7,5,1,9,7,5,7,5,7,2,1,5,7,2,8,2,9,9,3,2,2,0,1,1,5,1,5,1,8,4,9,6,1,6,9,2,6,0,4,6,4,3,2,6,3,4,4,0,2,1,4,8,5,7,6,9,8,3,5,1,4,3,9,6,7,1,2,6,1,1,2,9,8,6,2,2,3,3,5,4,4,2,5,7,1,6,2,4,1,8,3,4,0,6,3,2,0,3

45 th preferred transmission sequence:

2,6,8,8,6,7,1,3,3,4,4,5,6,0,1,7,5,5,8,4,5,4,0,2,6,2,8,4,6,5,9,2,9,3,3,8,5,6,4,4,9,4,5,3,7,0,3,7,0,7,3,2,2,5,9,8,7,3,1,5,9,6,6,8,8,7,0,7,4,1,4,9,4,1,5,2,2,9,5,5,8,7,8,0,0,5,2,7,7,7,6,6,5,3,4,5,8,3,0,4,9,6,0,2,5,3,6,0,4,1,0,2,9,9,7,4,7,3,1,5,2,7,5,8,0,1,0,7,7,7,6,8,8,7,8,6,5,6,9,7,4,4,1,5,5,5,7,0,5,9,5,5,1,7,1,6,0,6,7,9,3,6,8,8,7,6,1,8,6,2,2,0,6,6,6,4,4,1,4,0,2,4,6,1,0,1,3,1,1,6,7,0,1,0,9,8,7,9,9,9

46 th preferred transmission sequence:

6,3,1,1,7,5,4,5,0,6,5,0,4,7,5,3,0,5,2,6,8,2,3,6,0,1,5,0,9,2,2,4,0,4,1,2,7,2,3,1,4,9,5,5,7,1,6,8,8,4,9,7,2,6,4,4,8,4,5,8,7,4,7,5,2,5,1,3,4,7,1,2,8,1,6,2,6,9,6,7,7,6,4,9,2,3,4,0,5,3,2,1,4,7,8,0,8,9,3,2,9,4,6,4,1,2,1,0,7,3,0,5,5,1,1,6,3,1,1,7,0,4,2,2,6,2,1,8,6,4,9,3,3,3,0,4,6,9,4,1,1,1,2,4,8,5,3,1,2,4,9,0,9,3,6,2,5,5,9,7,9,1,8,5,7,8,1,9,3,5,6,3,9,2,8,9,8,9,8,4,6,6,5,6,8,1,8,4,4,2,6,4,7,7,8,3,3,0,9,9

47 th preferred transmission sequence:

9,3,9,1,8,7,7,2,4,8,4,2,3,8,6,4,3,8,7,1,3,6,4,6,0,3,8,2,8,8,9,8,3,3,7,0,2,7,1,5,1,0,5,7,6,7,3,0,5,7,0,8,1,9,0,6,7,8,2,7,0,0,0,4,9,5,3,0,9,8,4,9,0,6,9,8,9,0,2,5,0,6,2,1,6,2,9,4,7,6,2,8,6,9,0,4,3,9,2,4,5,5,0,7,4,7,6,7,7,0,7,4,3,8,1,2,8,5,9,1,1,7,0,0,7,7,1,4,1,3,0,0,1,8,8,3,8,3,3,6,5,2,8,9,2,9,7,9,4,4,6,5,4,4,3,2,6,0,8,4,1,2,7,5,1,2,6,8,4,0,6,5,4,7,9,4,2,7,3,4,1,8,5,7,6,9,1,9,8,6,3,2,1,2,8,4,2,6,5,9

48 th preferred transmission sequence:

9,2,1,1,5,0,3,0,6,8,9,3,3,5,2,2,6,1,2,5,8,0,4,8,3,5,6,4,9,7,1,6,0,2,3,6,8,6,8,2,5,0,6,4,1,2,2,0,5,2,0,4,6,2,8,9,4,2,7,7,6,3,7,6,6,9,2,9,9,2,5,2,6,8,8,7,3,3,2,2,6,1,8,4,0,0,3,6,5,1,6,6,7,1,9,0,4,7,2,0,0,4,1,1,1,9,1,2,1,3,5,8,6,7,8,1,8,0,4,3,3,7,0,5,7,6,3,9,0,3,2,5,2,2,0,7,3,8,4,9,2,0,3,2,2,2,8,5,6,2,4,7,3,6,4,9,5,7,9,8,5,1,4,6,8,3,9,4,3,9,4,1,7,2,8,5,5,7,0,7,8,0,0,8,5,4,7,6,5,5,9,3,4,4,2,4,0,3,4,9

49 th preferred transmission sequence:

8,0,3,0,6,3,3,5,8,4,5,9,1,8,7,6,5,6,2,5,1,0,7,0,6,9,9,6,9,1,1,8,1,6,4,6,9,0,7,5,3,3,2,1,6,7,1,0,8,8,0,3,2,7,1,5,9,9,6,6,3,2,7,0,1,4,1,6,6,2,3,2,7,5,5,4,6,9,7,7,7,9,7,7,2,7,3,5,2,8,9,9,2,0,3,1,6,7,8,1,4,9,9,6,4,0,5,3,5,7,4,3,5,0,6,3,5,9,4,1,2,5,1,7,6,2,9,4,0,2,2,5,1,6,0,3,9,5,1,4,4,0,8,3,4,7,4,2,4,2,1,1,6,6,2,5,3,9,4,0,1,0,1,9,3,3,0,2,6,6,3,0,2,3,1,3,3,0,2,0,6,4,0,9,9,7,8,0,4,6,4,3,7,4,0,8,8,9,2,0

50 th preferred transmission sequence:

4,9,8,3,8,8,8,6,7,6,2,0,4,0,4,1,0,4,6,3,6,6,5,6,3,8,1,0,5,4,9,0,4,4,7,2,6,0,3,2,3,7,1,4,3,3,3,9,6,4,3,0,8,3,3,4,9,9,0,9,8,0,7,3,6,4,5,4,5,0,6,5,9,0,9,3,7,7,7,7,6,8,3,4,0,1,3,4,5,1,6,6,4,0,7,1,4,3,4,4,1,2,9,9,9,0,4,1,4,5,8,5,1,7,4,1,1,5,9,5,7,5,8,1,7,5,7,3,2,3,1,0,9,3,0,4,6,1,6,8,0,0,2,3,5,6,7,6,4,7,8,4,6,9,2,6,7,8,8,4,1,8,8,4,2,1,1,5,1,5,8,8,8,4,8,7,5,6,6,0,8,3,5,0,3,7,0,3,8,3,5,0,7,7,9,9,8,7,7,8

the above 50 preferred transmitted sequences obtained by using the present invention are further compared with the randomly generated 50 transmitted sequences as shown in table 1, wherein the preferred transmitted sequences obtained by searching are the 50 preferred transmitted sequences listed above.

TABLE 1 comparison of the sequence obtained according to the invention with the sequence properties obtained by conventional methods

Ct Cmm Crms
Generation of sequences by conventional methods 39 29.52 20.43
Sequences obtained by the invention 29 25.49 20.21

As can be seen from the data in Table 1, the root mean square value C of the cross-correlation value (i.e., the number of collisions) of the present inventionrmsReduced, more clearly, the maximum value of the cross-correlation CtI.e. the maximum number of collisions decreases from 39 to 29, the mean value C of the maximum cross-correlation values of the sequencesmmThere is also a more significant drop. Therefore, the sending sequence generated by the method meets better design requirements, and the performance of the sending sequence is superior to that of the sending sequence generated by the conventional method.

Therefore, the invention discloses a sending sequence optimization method of a co-location network. The method comprises the steps of determining initial sending sequences with corresponding number according to the number of nodes, corresponding time slots of the initial sending sequences, dividing the time slots into time slot frames, calculating correlation functions, root mean square values of cross-correlation values, maximum value mean values of pairwise correlation values and initial maximum cross-correlation values of any two sequences, adjusting the positions of corresponding 1 time slots in the initial sending sequences, further calculating the regulated maximum cross-correlation values corresponding to the regulated sending sequences, and comparing the regulated maximum cross-correlation values with the initial maximum cross-correlation values to determine whether the regulated sending sequences are reserved or not until all the initial sending sequences are adjusted. The mean value of the maximum cross-correlation values of all the sending sequences obtained by the method is obviously reduced, and the performance is far superior to that of the randomly generated sequences.

The above description is only an embodiment of the present invention, and not intended to limit the scope of the present invention, and all equivalent structural changes made by using the contents of the present specification and the drawings, or applied directly or indirectly to other related technical fields, are included in the scope of the present invention.

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