一种协同定位网络的发送序列优选方法
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.)
技术领域
本发明涉及导航定位领域，尤其涉及一种协同定位网络的发送序列优选方法。
背景技术
在网络通信中，常见的多址接入方法包括频分多址、时分多址和随机接入等多种方式。其中，受到频率资源限制，频分多址技术难以使用；各节点初始时存在较大的时间偏差，也不适合采用。因此随机接入方式将成为主要的多用户接入方式。
相较于通信网络的随机接入，定位网络在接入方面有不同的性能要求，主要体现在对信号载波的高精度跟踪方面有更高要求。为此，设计合理的发送序列成为定位网络实现多用户高精度协同定位的重要前提。
发明内容
本发明主要解决的技术问题是提供一种协同定位网络的发送序列优选方法，解决现有技术中的因发送序列相关性未能进行优化设计造成多址网络中节点发送数据形成的碰撞效应突出的问题。
为解决上述技术问题，本发明采用的一个技术方案是提供一种协同定位网络的发送序列优选方法，包括步骤：步骤S1：定协同定位网络中的节点数为K，其中每一个节点对应有一个初始发送序列，共有K个初始发送序列，每个所述初始发送序列是由0和1随机组成的周期序列，周期长度是N，其中0表示接收信号的时隙，1表示发送信号的时隙；步骤S2：将周期长度N对应的N个时隙划分为m个时隙子帧，每个初始发送序列在每个时隙子帧中随机选择一个时隙作为发送信号的时隙，所述时隙子帧中的其他时隙则作为接收信号的时隙，以实现每个初始发送序列在N个时隙中只占用m个发送信号的时隙；步骤S3：对所述K个初始发送序列计算其中任意两个序列的相关函数Ci,j(σ)，式中k表示第i初始发送序列与第j初始发送序列的相位偏移量，Tbur表示时隙的时间长度，ε表示相对于Tbur的时间长度偏差量，以及由Ci,j(σ)计算互相关值的均方根值，两两互相关值的最大值均值，以及进一步计算得到初始最大互相关值；步骤S4：从所述K个初始发送序列中选择一个初始发送序列作为调控发送序列，对所述调控发送序列的每一个时隙子帧中的“1”时隙进行位置随机调整；然后按照步骤S3中方法计算所述调控发送序列与其他K-1个初始发送序列的相关函数，以及进一步计算得到调控最大互相关值，若所述调控最大互相关值小于所述初始最大互相关值，则用所述调控发送序列来替换所述初始发送序列，若所述调控最大互相关值大于或等于所述初始最大互相关值，则保留所述初始发送序列；步骤S5：按照与步骤S4相同方法，对所述K个初始发送序列中其他K-1个初始发送序列进行处理，分别得到对应的调控发送序列或保留对应的所述初始发送序列，最终得到K个经过上述优化选择的优选发送序列。
优选的，在步骤S3中，所述互相关值的均方根值为：
优选的，在步骤S3中，所述两两互相关值的最大值均值为：
优选的，在步骤S3中，取加权系数α，并计算所述初始最大互相关值为：Ct＝α·Cmm+(1+α)·Crms。
优选的，所述定协同定位网络中的节点数K＝50，所述周期长度N＝2000，时隙子帧的个数m＝200，2ε＝19Tbur，σ∈[-19,19]，每个时隙Tbur＝1ms，加权系数α＝0.5。
本发明的有益效果是：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。
附图说明
图1是根据本发明协同定位网络的发送序列优选方法一实施例的流程图；
图2是根据本发明协同定位网络的发送序列优选方法一实施例中的发送序列与时隙关系示意图。
具体实施方式
为了便于理解本发明，下面结合附图和具体实施例，对本发明进行更详细的说明。附图中给出了本发明的较佳的实施例。但是，本发明可以以许多不同的形式来实现，并不限于本说明书所描述的实施例。相反地，提供这些实施例的目的是使对本发明的公开内容的理解更加透彻全面。
需要说明的是，除非另有定义，本说明书所使用的所有的技术和科学术语与属于本发明的技术领域的技术人员通常理解的含义相同。在本发明的说明书中所使用的术语只是为了描述具体的实施例的目的，不是用于限制本发明。本说明书所使用的术语“和/或”包括一个或多个相关的所列项目的任意的和所有的组合。
如图1所示，本发明给出了一种协同定位网络的发送序列优选方法实施例，包括以下步骤：
步骤S1：定协同定位网络中的节点数为K，其中每一个节点对应有一个初始发送序列，共有K个初始发送序列，每个所述初始发送序列是由0和1随机组成的周期序列，周期长度是N，其中0表示接收信号的时隙，1表示发送信号的时隙；
对此，可以用图2所示来说明时隙与发送序列之间的关系，如图2所示，在该发送序列为1对应的时隙，该节点向外发送信号，而在发送序列为0对应的时隙，该节点接收信号。
由于网络中各节点间距离不同，无法保证一个节点i发送信号到达另一个节点j后，与该另一个节点j的发送序列的时间关系。节点i至节点j的信号发送过程中会发现，节点i的信号到达节点j时，可能出现两种情况：(1)节点j处于接收状态，则节点i信号被接收；(2)节点j处于发送状态，则节点i信号无法被接收，即发生了“碰撞”。
需要注意的是，在节点间以CDMA实现多址时，理论上这一“碰撞”可以只引起节点i至节点j信号的传送，而不影响其他节点对节点i、j信号的接收，如不同节点信号采用不同的扩频码进行调制，此时虽然节点i、j信号在碰撞情况下在时间上重合或部分重合，但其他节点仍可以接收到两者的信号。而本发明对于协同定位网络，优选就是采用的通过直接序列扩频方式实现的码分多址方式来区分不同用户节点。
步骤S2：将周期长度N对应的N个时隙划分为m个时隙子帧，每个初始发送序列在每个时隙子帧中随机选择一个时隙作为发送信号的时隙，所述时隙子帧中的其他时隙则作为接收信号的时隙，以实现每个初始发送序列在N个时隙中只占用m个发送信号的时隙；
例如，这里的时隙个数是2000个，其中每10个时隙组成一个时隙子帧，则有200个时隙子帧，对于每一个时隙子帧中的10个时隙，其中只有一个时隙对应的发送序列的值为1，其他9个时隙对应的发送序列的值均为0。通过构建时隙子帧有利于将时隙进行分组，以及在后续调整优化时只需在各个时隙子帧中对发送信号的时隙进行调整即可，有利于降低计算量，同时还可以保证整体的优化选择具有良好特性。
步骤S3：对所述K个初始发送序列计算其中任意两个序列的相关函数Ci,j(σ)，式中σ表示第i初始发送序列与第j初始发送序列的相位偏移量，以及由Ci,j(σ)计算互相关值的均方根值，两两互相关值的最大值均值，以及进一步计算得到初始最大互相关值；
这里的Tbur表示时隙的时间长度，ε表示相对于Tbur的时间长度偏差量。
优选的，发送信号突发的碰撞体现于各节点的发送序列的互相关函数。发送序列由“0”与“1”构成，两发送序列互相关函数体现了两发送序列在不同相对相位下的碰撞次数。这样，直接对性能，即由于碰撞引起的信号能量损失产生影响的有如下几个量：(1)互相关值的均方根值，对应着平均信号能量损失；(2)任意两发送序列的互相关值的最大值的均值。对应着任意一个节点接收其他节点信号时最差情况信号能量损失的均值；(3)最大互相关值。表明了在最差情况下的信号能量的损失。
步骤S4：从所述K个初始发送序列中选择一个初始发送序列作为调控发送序列，对所述调控发送序列的每一个时隙子帧中的“1”时隙进行位置随机调整；然后按照步骤S3中方法，计算所述调控发送序列与其他K-1个初始发送序列的相关函数，以及进一步计算得到调控最大互相关值，若所述调控最大互相关值小于所述初始最大互相关值，则用所述调控发送序列来替换所述初始发送序列，若所述调控最大互相关值大于或等于所述初始最大互相关值，则保留所述初始发送序列；
步骤S5：按照与步骤S4相同方法，对所述K个初始发送序列中其他K-1个初始发送序列进行处理，分别得到对应的调控发送序列或保留对应的所述初始发送序列，最终得到K个经过上述优化选择的优选发送序列。
优选的，在步骤S3中，所述互相关值的均方根值为：
优选的，在步骤S3中，所述两两互相关值的最大值均值为：
优选的，在步骤S3中，取加权系数α，并计算所述初始最大互相关值为：Ct＝α·Cmm+(1+α)·Crms。
优选的，所述定协同定位网络中的节点数K＝50，所述周期长度N＝2000，时隙子帧的个数m＝200，2ε＝19Tbur，σ∈[-19,19]，每个时隙Tbur＝1ms，其中在计算初始最大互相关值和调控最大互相关值时，加权系数α＝0.5。
优选的，根据上述参数，最终得到50个优选发送序列如下，对于其中的每一个优选发送序列，其中每一个数字表示的是该时隙子帧中“1”所在的位置，每个时隙子帧中共有10个时隙，每个优选发送序列共有200个时隙子帧。例如在第1优选发送序列中的第一个“2”表示的就是在第1个时隙子帧中，从0时隙到9时隙中，其中的2时隙对应的序列值为1，其余位置的序列值为0。
第1优选发送序列：
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
第2优选发送序列：
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
第3优选发送序列：
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
第4优选发送序列：
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
第5优选发送序列：
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
第6优选发送序列：
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
第7优选发送序列：
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
第8优选发送序列：
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
第9优选发送序列：
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
第10优选发送序列：
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
第11优选发送序列：
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
第12优选发送序列：
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
第13优选发送序列：
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
第14优选发送序列：
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
第15优选发送序列：
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
第16优选发送序列：
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
第17优选发送序列：
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
第18优选发送序列：
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
第19优选发送序列：
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
第20优选发送序列：
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
第21优选发送序列：
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
第22优选发送序列：
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
第23优选发送序列：
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
第24优选发送序列：
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
第25优选发送序列：
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
第26优选发送序列：
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
第27优选发送序列：
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
第28优选发送序列：
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
第29优选发送序列：
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
第30优选发送序列：
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
第31优选发送序列：
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
第32优选发送序列：
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
第33优选发送序列：
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
第34优选发送序列：
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
第35优选发送序列：
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
第36优选发送序列：
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
第37优选发送序列：
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
第38优选发送序列：
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
第39优选发送序列：
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
第40优选发送序列：
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
第41优选发送序列：
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
第42优选发送序列：
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
第43优选发送序列：
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
第44优选发送序列：
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
第45优选发送序列：
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
第46优选发送序列：
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
第47优选发送序列：
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
第48优选发送序列：
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
第49优选发送序列：
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
第50优选发送序列：
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
还进一步对上述利用本发明得到的50个优选发送序列与随机产生的50个发送序列进行对比，如表1所示，其中搜索所得优选发送序列如前面所列的50个优选发送序列。
表1本发明所得序列与常规方法产生序列性能对比
C<sub>t</sub>
C<sub>mm</sub>
C<sub>rms</sub>
常规方法产生序列
39
29.52
20.43
本发明所得序列
29
25.49
20.21
由表1中数据可见，本发明的互相关值(即碰撞次数)的均方根值Crms有所下降，更为明显的是互相关最大值Ct即最大碰撞次数从39下降至29，各序列互相关最大值的均值Cmm也有较为明显的下降。因此，通过本方法产生的发送序列达到了较好的设计要求，性能优于常规方法产生的发送序列的性能。
由此可见，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。
以上所述仅为本发明的实施例，并非因此限制本发明的专利范围，凡是利用本发明说明书及附图内容所作的等效结构变换，或直接或间接运用在其他相关的技术领域，均同理包括在本发明的专利保护范围内。
- 上一篇：一种医用注射器针头装配设备
- 下一篇：WIFI连接方法、装置、存储介质及移动终端