Frequency spectrum sensing time optimization method with intelligent interference

文档序号:1616824 发布日期:2020-01-10 浏览:34次 中文

阅读说明:本技术 一种存在智能干扰的频谱感知时间优化方法 (Frequency spectrum sensing time optimization method with intelligent interference ) 是由 邹玉龙 翟亮森 朱佳 于 2019-11-20 设计创作,主要内容包括:本发明公开了一种存在智能干扰的频谱感知时间优化方法,该方法适用于认知自组织网络。为了保障主用户通信,认知自组织用户只利用空闲频谱进行数据传输,然而智能干扰只有在检测到频谱被占用时才发送干扰以提高干扰效率。其中,利用频谱感知时间对数据传输性能的影响,考虑以整体中断概率最小为优化目标,采用迭代优化算法得到认知自组织用户的最佳频谱感知时间。本发明通过对认知自组织用户的频谱感知时间进行优化,最大程度地减小整体中断概率,可以有效抑制智能干扰对认知自组织用户性能造成的不利影响。(The invention discloses a frequency spectrum sensing time optimization method with intelligent interference, which is suitable for a cognitive self-organizing network. In order to guarantee communication of a master user, the cognitive self-organization user only utilizes idle frequency spectrum for data transmission, however, intelligent interference only sends interference when the occupied frequency spectrum is detected so as to improve interference efficiency. The method comprises the steps of obtaining the optimal spectrum sensing time of a cognitive self-organizing user by utilizing the influence of the spectrum sensing time on the data transmission performance and considering the minimum integral interruption probability as an optimization target and adopting an iterative optimization algorithm. According to the invention, the spectrum sensing time of the cognitive self-organization user is optimized, the overall interruption probability is reduced to the greatest extent, and the adverse effect of intelligent interference on the performance of the cognitive self-organization user can be effectively inhibited.)

1. A spectrum sensing time optimization method in the presence of intelligent interference is characterized by comprising the following steps:

according to the magnitude relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference, the method is divided into a stage of alpha being less than beta and a stage of alpha being more than or equal to beta; in the stage of alpha being less than beta, the magnitude relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference is alpha being less than beta; in the stage that the alpha is larger than or equal to the beta, the magnitude relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference is that the alpha is larger than or equal to the beta;

calculating the overall probability of interruption P of the alpha < beta phaseout,1Integral outage probability P for the phase with alpha ≧ betaout,2

According to the calculated Pout,1And Pout,2Obtaining an overall outage probability P for cognitive self-organizing user transmissionsout

Optimizing the spectrum sensing time alpha of the cognitive transmitter by using an iterative optimization algorithm to ensure that the overall interruption probability P of the cognitive self-organizing user transmissionoutAnd minimum.

2. The method for spectrum sensing time optimization with intelligent interference according to claim 1, wherein the method comprises the following steps: the overall probability of interruption P for the alpha < beta phase of the calculationout,1The method comprises the following steps:

performing spectrum sensing by using an energy detection method to obtain a detection outline of the cognitive transmitter at a stage of alpha less than betaRate Pds,1And false alarm probability Pfs,1Detection probability Pd of intelligent interference in alpha < beta stagej,1And false alarm probability Pfj,1

Calculating the channel capacity C of the cognitive receiver in the alpha < beta staged,1

According to the detection probability Pd of the cognitive transmitters,1And false alarm probability Pfs,1Detection probability Pd of smart disturbancej,1And false alarm probability Pfj,1Channel capacity C of cognitive receiverd,1And calculating the integral interruption probability P of the alpha < beta stageout,1

3. The method for spectrum sensing time optimization with intelligent interference according to claim 2, wherein the method comprises the following steps: probability of detection of the cognitive transmitter Pds,1And false alarm probability Pfs,1Detection probability Pd of smart disturbancej,1And false alarm probability Pfj,1Calculated from equation (1):

Figure FDA0002280567990000021

wherein Q (·) is defined as

Figure FDA0002280567990000022

Figure FDA0002280567990000025

Figure FDA0002280567990000032

4. The method for spectrum sensing time optimization with intelligent interference according to claim 2, wherein the method comprises the following steps: the channel capacity C of the cognitive receiver in the alpha < beta phased,1Calculated from equation (2):

Figure FDA0002280567990000033

wherein the random variable musIs defined as

Figure FDA0002280567990000035

5. The method for spectrum sensing time optimization with intelligent interference according to claim 1, wherein the method comprises the following steps: the integral interruption probability P of the alpha stage and the beta stage is calculatedout,2The method comprises the following steps:

performing spectrum sensing by adopting an energy detection method to obtain the detection probability Pd of the cognitive transmitter at the stage of alpha being more than or equal to betas,2And false alarm probability Pfs,2Detection probability Pd of smart disturbancej,2And false alarm probability Pfj,2

Calculating the channel capacity C of the cognitive receiver at the stage of alpha being more than or equal to betad,2

According to the detection probability Pd of the cognitive transmitters,2And false alarm probability Pfs,2Detection of intelligent interferenceRate Pdj,2And false alarm probability Pfj,2Channel capacity C of cognitive receiverd,2And calculating the integral interruption probability P of the alpha stage and the beta stage according to the interruption probability definition formulaout,2

6. The method of claim 5, wherein the method comprises: probability of detection of the cognitive transmitter Pds,2And false alarm probability Pfs,2Detection probability Pd of smart disturbancej,2And false alarm probability Pfj,2Calculated from equation (3):

Figure FDA0002280567990000041

wherein the content of the first and second substances,

Figure FDA0002280567990000042

7. The method of claim 5, wherein the method comprises: the channel capacity C of the cognitive receiver at the alpha stage is more than or equal to the beta staged,2Calculated from equation (4):

Figure FDA0002280567990000056

wherein the random variable musIs defined as

Figure FDA0002280567990000058

8. The method for spectrum sensing time optimization with intelligent interference according to claim 1, wherein the method comprises the following steps: overall outage probability P of the cognitive ad hoc networkoutCalculated from equation (5):

Figure FDA0002280567990000063

Technical Field

The invention relates to a frequency spectrum sensing time optimization method with intelligent interference, and belongs to the technical field of wireless communication.

Background

Under the traditional static spectrum allocation system, the utilization rate of wireless spectrum resources is not high, so that the contradiction between the shortage of the spectrum resources and the low utilization rate is generated. The cognitive radio allows an unauthorized user to opportunistically utilize the idle frequency spectrum for communication on the premise of not influencing the communication of the master user, thereby effectively improving the utilization rate of the frequency spectrum. Meanwhile, the mobile interconnection technology and the intelligent terminal are increasingly popularized, so that more demands are made on the aspects of self-organization, flexibility and the like of a future communication network, and compared with the traditional wireless communication network depending on a central infrastructure, the wireless self-organization network forms a network architecture without center and distributed control through self-organization communication of terminal nodes, and has the advantages of rapid deployment, strong robustness and the like. Under the background, the cognitive ad hoc wireless network is produced and is widely and continuously concerned by academic circles at home and abroad.

However, due to an open spectrum access mechanism, the physical layer of the cognitive ad hoc network is more susceptible to malicious attacks such as interference, and thus, the communication transmission efficiency is low.

Disclosure of Invention

The invention provides a frequency spectrum sensing time optimization method with intelligent interference, which can inhibit adverse effects caused by the intelligent interference and improve the effectiveness of a communication system.

In order to achieve the purpose, the technical scheme adopted by the invention is as follows: a spectrum sensing time optimization method in the presence of intelligent interference comprises the following steps: according to the magnitude relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference, the method is divided into a stage of alpha being less than beta and a stage of alpha being more than or equal to beta; in the stage of alpha being less than beta, the relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference is alpha being less than beta; in the stage that the alpha is larger than or equal to the beta, the relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference is that the alpha is larger than or equal to the beta; calculating the overall probability of interruption P of the alpha < beta phaseout,1Integral outage probability P for the phase with alpha ≧ betaout,2(ii) a According to the calculated Pout,1And Pout,2Obtaining an overall outage probability P for cognitive self-organizing user transmissionsout(ii) a Using iterative optimizationThe algorithm optimizes the spectrum sensing time alpha of the cognitive transmitter, so that the integral interruption probability P of the cognitive self-organizing user transmissionoutAnd minimum.

Further, the overall interruption probability P of the alpha < beta phase is calculatedout,1The method comprises the following steps: performing spectrum sensing by adopting an energy detection method to obtain the detection probability Pd of the cognitive transmitter at the stage of alpha being less than betas,1And false alarm probability Pfs,1Detection probability Pd of intelligent interference in alpha < beta stagej,1And false alarm probability Pfj,1(ii) a Calculating the channel capacity C of the cognitive receiver in the alpha < beta staged,1(ii) a According to the detection probability Pd of the cognitive transmitters,1And false alarm probability Pfs,1Detection probability Pd of smart disturbancej,1And false alarm probability Pfj,1Channel capacity C of cognitive receiverd,1And calculating the integral interruption probability P of the alpha < beta stageout,1

Further, the detection probability Pd of the cognitive transmitters,1And false alarm probability Pfs,1Detection probability Pd of smart disturbancej,1And false alarm probability Pfj,1Calculated from equation (1):

Figure BDA0002280568000000021

wherein Q (·) is defined as

Figure BDA0002280568000000031

Figure BDA0002280568000000032

Given the cognitive transmitter target detection probability in the alpha < beta phase,

Figure BDA0002280568000000033

Q-1(. h) is the inverse function of Q (-), hpsIs the channel fading coefficient, gamma, of the main base station to the cognitive transmitterp=Pp/N0,PpIndicating the transmission power of the main base station, N0Variance of additive white Gaussian noise,MsFor the number of samples of the received signal of the cognitive transmitter in spectrum sensing and Ms=αTfsT and fsRespectively representing the slot length and the sampling frequency,

Figure BDA0002280568000000034

Figure BDA0002280568000000035

Figure BDA0002280568000000037

target detection probability of intelligent interference given for alpha < beta phase, MjFor intelligently interfering with the number of samples of the received signal and Mj=βTfs,hpjChannel fading coefficient, h, representing the main base station to smart interferencesjChannel fading coefficient, gamma, representing cognitive transmitter to smart interferences=Ps/N0,PsRepresenting the transmission power of the cognitive transmitter.

Further, the channel capacity C of the cognitive receiver in the alpha < beta phased,1Calculated from equation (2):

Figure BDA0002280568000000038

wherein the random variable musIs defined as

Figure BDA0002280568000000039

Figure BDA00022805680000000310

Indicating a permitted spectrum state, H, detected by a cognitive transmitter using spectrum sensing0Indicating grant spectrum idle, H1A random variable μ representing that the licensed spectrum is occupiedpIs defined asWherein B is0Indicating that the main base station is not transmitting a signal, B1Indicating that the main base station has transmitted a signal, the random variable mujIs defined as

Figure BDA0002280568000000042

Figure BDA0002280568000000043

Representing a permitted spectral state, gamma, detected by intelligent interference using spectral sensings=Ps/N0,PsFor cognitive transmitters, N0Is the variance of additive white Gaussian noise, gammap=Pp/N0,PpIs the transmission power, gamma, of the main base station and cognitive transmitterj=Pj/N0,PjTransmission power for intelligent interference, hsdChannel fading coefficient, h, for cognitive transmitter to cognitive receiverpdIs the channel fading coefficient, h, of the main base station to the cognitive receiverjdIs the channel fading coefficient of the intelligent interference to the cognitive receiver.

Further, the integral interruption probability P of the alpha stage and the beta stage is calculatedout,2The method comprises the following steps: performing spectrum sensing by adopting an energy detection method to obtain the detection probability Pd of the cognitive transmitter at the stage of alpha being more than or equal to betas,2And false alarm probability Pfs,2Detection probability Pd of smart disturbancej,2And false alarm probability Pfj,2(ii) a Calculating the channel capacity C of the cognitive receiver at the stage of alpha being more than or equal to betad,2(ii) a According to the detection probability Pd of the cognitive transmitters,2And false alarm probability Pfs,2Detection probability Pd of smart disturbancej,2And false alarm probability Pfj,2Channel capacity C of cognitive receiverd,2And calculating the integral interruption probability P of the alpha stage and the beta stage according to the interruption probability definition formulaout,2

Further, the detection probability Pd of the cognitive transmitters,2And false alarm probability Pfs,2Detection probability Pd of smart disturbancej,2And false alarm probability Pfj,2Calculated from equation (3):

Figure BDA0002280568000000051

wherein the content of the first and second substances,

Figure BDA0002280568000000052

target detection probability of intelligent interference given for alpha ≧ beta phase, MjFor intelligently interfering with the number of samples of the received signal and Mj=βTfsT and fsRespectively representing the slot length and the sampling frequency,

Figure BDA0002280568000000053

Figure BDA0002280568000000054

target detection probability, gamma, for a given cognitive transmitter at the alpha ≧ beta stagep=Pp/N0,PpIndicating the main base station transmission power, N0Is the variance of additive white gaussian noise,

Figure BDA0002280568000000055

Figure BDA0002280568000000056

Figure BDA0002280568000000057

hjschannel fading coefficient, h, for intelligent interference to cognitive transmitterspsIs the channel fading coefficient, h, of the master base station to the cognitive transmitterpjChannel fading coefficient, M, for main base station to smart interferencesIs the number of received signal samples in the spectrum sensing of the cognitive transmitter and Ms=αTfs,γj=Pj/N0,PjThe power is transmitted for intelligent interference.

Further, the channel capacity C of the cognitive receiver in the alpha stage is larger than or equal to the beta staged,2Calculated from equation (4):

wherein the random variable musIs defined as

Figure BDA0002280568000000059

Figure BDA00022805680000000510

Indicating a permitted spectrum state, H, detected by a cognitive transmitter using spectrum sensing0Indicating grant spectrum idle, H1A random variable μ representing that the licensed spectrum is occupiedpIs defined as

Figure BDA0002280568000000061

Wherein B is0Indicating that the main base station is not transmitting a signal, B1Indicating that the main base station has transmitted a signal, the random variable mujIs defined as

Figure BDA0002280568000000062

Figure BDA0002280568000000063

Representing a permitted spectral state, gamma, detected by intelligent interference using spectral sensings=Ps/N0,PsFor cognitive transmitters, N0Is the variance of additive white Gaussian noise, gammap=Pp/N0,PpIs the transmission power of the main base station, gammaj=Pj/N0,PjTransmission power for intelligent interference, hsdChannel fading coefficient, h, for cognitive transmitter to cognitive receiverpdIs the channel fading coefficient, h, of the main base station to the cognitive receiverjdIs the channel fading coefficient of the intelligent interference to the cognitive receiver.

Further, the overall outage probability P of the cognitive self-organizing networkoutCalculated from equation (5):

the invention respectively calculates the integral interruption probability of the transmission of the self-organizing user in two stages of alpha being less than beta and alpha being more than or equal to beta, and then searches the frequency spectrum sensing time alpha which enables the integral interruption probability to be minimum by utilizing an iterative optimization algorithm, thereby improving the effectiveness of a communication system. The invention adopts an intelligent interference model, and is more suitable for the attack type adopted by the interference machine in the actual scene.

Drawings

Fig. 1 is a schematic model diagram of a spectrum sensing time optimization method with intelligent interference according to an embodiment of the present invention;

fig. 2 is a schematic flowchart of a method for optimizing spectrum sensing time in the presence of intelligent interference according to an embodiment of the present invention;

fig. 3 is a simulation diagram illustrating a relationship between sensing time of the cognitive transmitter and overall outage probability under different intelligent interference sensing times in fig. 1.

Detailed Description

For a better understanding of the nature of the invention, its description is further set forth below in connection with the specific embodiments and the drawings.

As shown in fig. 1, the system model of this embodiment is composed of a main network and a cognitive ad hoc network, the main network is composed of a main base station (PBS) and a main user (PU), and the cognitive ad hoc network is composed of 1 cognitive transmitter (ST), 1 cognitive receiver (SR), and 1 smart jamming (J). The useful signal is represented by a solid line and the interfering signal by a dashed line. The method comprises the steps that a node in a cognitive self-organizing network needs to sense a frequency spectrum before transmitting a signal, in order to guarantee communication of a master user and reduce influence of interference signals, a cognitive self-organizing network user pair must send a useful signal on the premise of detecting the idle frequency spectrum, and otherwise, data transmission is stopped; however, smart jamming must transmit jamming signals when it is detected that the spectrum is occupied to improve jamming efficiency, otherwise the jamming transmission is stopped.

The invention discloses a method for optimizing spectrum sensing time, which specifically comprises the following steps as shown in figure 2:

in one time slot, the sensing time of the cognitive transmitter is represented as alpha, and the sensing time of the intelligent interference is represented as beta, so the transmission time of the cognitive transmitter and the intelligent interference can be represented as 1-alpha and 1-beta respectively.

Step 1, dividing the method into an alpha & ltbeta stage and an alpha & gtbeta stage according to the magnitude relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference. In the stage of alpha being less than beta, the relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference is alpha being less than beta. In the stage that the alpha is larger than or equal to the beta, the relation between the spectrum sensing time alpha of the cognitive transmitter and the spectrum sensing time beta of the intelligent interference is that the alpha is larger than or equal to the beta.

And 2, when alpha is less than beta, calculating the alpha stage less than the beta stage.

1) Performing spectrum sensing by adopting an energy detection method to obtain the detection probability Pd of the cognitive transmitter at the stage of alpha being less than betas,1And false alarm probability Pfs,1Detection probability Pd of intelligent interference in alpha < beta stagej,1And false alarm probability Pfj,1

By xpRandom signal, x, representing transmission of the main base stationsExpressing the random signal transmitted by the cognitive transmitter, without loss of generality, assuming E [ | x [ ]p|2]1 and E [ | xs|2]1, wherein E [ ·]Indicating expected value operator, by PpIndicating the transmission power, P, of the main base stationsRepresents the transmission power of the cognitive transmitter, so that the cognitive transmitter receives the signal y in the sensing phase when alpha < betas,1Intelligently disturbing the received signal y in the sensing phasej,1Can be expressed as formula (1) and formula (2), respectively:

Figure BDA0002280568000000082

wherein n issMeans that the average value received by the cognitive transmitter is 0 and the variance is N0Of additive white Gaussian noise, njMean 0 and variance N representing reception of intelligent interference0Additive white Gaussian noise of hpsRepresenting the channel fading coefficient, h, from the master base station to the cognitive transmitterpjChannel fading coefficient, h, representing the main base station to smart interferencesjChannel fading coefficient, random variable | h, representing cognitive transmitter to smart interferenceps|2、|hpj|2And | hsj|2Respectively obey parameters of

Figure BDA0002280568000000083

And

Figure BDA0002280568000000084

the distribution of the indices of (a) to (b),and

Figure BDA0002280568000000086

are respectively independent and identically distributed random variables | hps|2、|hpj|2And | hsj|2Is measured. Random variable mupIs defined as

Figure BDA0002280568000000087

B0Indicating that the main base station is not transmitting a signal, B1Indicating that the master base station has transmitted a signal, defining the probability that the master base station has transmitted the signal as P0=Pr(B0). Similarly, the random variable μsIs defined as

Figure BDA0002280568000000091

Figure BDA0002280568000000092

Indicating a permitted spectrum state, H, detected by a cognitive transmitter using spectrum sensing0Indicating grant spectrum idle, H1Indicating that the licensed spectrum is occupied, i.e., the cognitive transmitter communicates only when it detects that the spectrum is free, and stops data transmission when it detects that the spectrum is occupied.

Cognitive transmitter and intelligent interferenceReceiving signals y separately in the sensing phases,1And yj,1The spectral state is then perceived using an energy detection method. Setting an energy detection threshold of a cognitive transmitter to lambdasThe energy detection threshold of the intelligent interference is lambdajThe detection probability Pd of the cognitive transmitter at the stage of alpha < beta can be obtaineds,1And false alarm probability Pfs,1Detection probability Pd of intelligent interference in alpha < beta stagej,1And false alarm probability Pfj,1Respectively expressed as:

Figure BDA0002280568000000093

Pdj,1=Pd'j,1(1-Pds,1)+Pd″j,1Pds,1(5)

Pfj,1=Pf′j,1(1-Pfs,1)+Pf″j,1Pfs,1(6)

wherein Q (·) is defined as

Figure BDA0002280568000000095

γp=Pp/N0,MsFor the number of samples of the received signal of the cognitive transmitter in spectrum sensing and Ms=αTfsT and fsRespectively, the slot length and the sampling frequency.

Defining:

Figure BDA0002280568000000102

Figure BDA0002280568000000103

Figure BDA0002280568000000104

wherein M isjFor intelligently interfering with the number of samples of the received signal and Mj=βTfs,γs=Ps/N0Given the target detection probability of the cognitive transmitter as

Figure BDA0002280568000000105

Target detection probability of intelligent interference is

Figure BDA0002280568000000106

While the target detection probability is usually set close to 1, so Pdj,1≈Pd″j,1

Definition of

Figure BDA0002280568000000107

Wherein Q-1(. cndot.) is an inverse function of Q (-),

Figure BDA0002280568000000108

equation (3), equation (4), and equations (7) through (10) can be converted to:

Figure BDA00022805680000001010

Figure BDA00022805680000001013

Figure BDA00022805680000001014

2) calculating the channel capacity C of the cognitive receiver in the alpha < beta staged,1

According to the cognitive receiver receiving signal and combining with the Shannon formula, the channel capacity C of the cognitive receiver can be obtainedd,1Comprises the following steps:

Figure BDA0002280568000000111

wherein, γj=Pj/N0,PjTransmission power for intelligent interference, hsdRepresenting the channel fading coefficient, h, from the cognitive transmitter to the cognitive receiverpdRepresenting the channel fading coefficient, h, from the primary base station to the cognitive receiverjdRepresenting the channel fading coefficient of the intelligent interference to the cognitive receiver, random variable | hsd|2、|hpd|2And | hjd|2Respectively obey parameters ofAnd

Figure BDA0002280568000000113

the distribution of the indices of (a) to (b),

Figure BDA0002280568000000114

Figure BDA0002280568000000115

and

Figure BDA0002280568000000116

are respectively independent and identically distributed random variables | hsd|2、|hpd|2And | hjd|2Is measured. Random variable mujIs defined as

Figure BDA0002280568000000117

Figure BDA0002280568000000118

Indicating a permitted spectrum state detected by intelligent interference using spectrum sensing.

3) Probability of detection Pd from cognitive transmitters,1And false alarm probability Pfs,1Detection probability Pd of smart disturbancej,1And false alarm probability Pfj,1Channel capacity C of cognitive receiverdAnd calculating the integral interruption probability P of the alpha < beta stageout,1

Defining the formula P according to the formula (5), the formula (6), the formula (11) to the formula (17), and the interruption probabilityout=Pr(Cd< R) and considering the conditional probability, the overall interruption probability P of the alpha < beta stage can be obtainedout,1Comprises the following steps:

wherein, defineWhere R is the data rate.

And 3, when the alpha is larger than or equal to the beta, calculating the alpha is larger than or equal to the beta stage.

1) Performing spectrum sensing by adopting an energy detection method to obtain the detection probability Pd of the cognitive transmitter at the stage of alpha being more than or equal to betas,2And false alarm probability Pfs,2Detection probability Pd of smart disturbancej,2And false alarm probability Pfj,2

By xjRandom signal representing intelligent interference transmission, without loss of generality, assuming E xj 2]By P1jThe transmission power of the intelligent interference is represented, therefore, when alpha is more than or equal to beta, the cognitive transmitter receives the signal y in the sensing stages,2Intelligently disturbing the received signal y in the sensing phasej,2Can be expressed as equation (19) and equation (20), respectively:

Figure BDA0002280568000000124

wherein h isjsRandom variable | h representing channel fading coefficient of intelligent interference to cognitive transmitterjs|2Compliance parameter of

Figure BDA0002280568000000125

The distribution of the indices of (a) to (b),

Figure BDA0002280568000000126

is independent and uniformly distributed random variable | hjs|2Is measured.

Cognitive transmitter and intelligent interference respectively received signal ys,2And yj,2Then, sensing the spectrum state by using an energy detection method to obtain the detection probability Pd of the cognitive transmitter at the stage of alpha being more than or equal to betas,2And false alarm probability Pfs,2Detection probability Pd of smart disturbancej,2And false alarm probability Pfj,2Respectively expressed as:

Figure BDA0002280568000000131

Figure BDA0002280568000000132

Pds,2=Pd′s,2(1-Pdj,2)+Pd″s,2Pdj,2(23)

Pfs,2=Pf′s,2(1-Pfj,2)+Pf″s,2Pfj,2(24)

defining:

Figure BDA0002280568000000133

Figure BDA0002280568000000134

Figure BDA0002280568000000136

target detection probability given cognitive transmitters and intelligent interference

Figure BDA0002280568000000137

And

Figure BDA0002280568000000138

while the target detection probability is usually set close to 1, so Pds,2≈Pf″s,2. Definition of

Then equation (21), equation (22), and equations (25) through (28) can be transformed into:

Figure BDA00022805680000001310

Figure BDA0002280568000000141

Figure BDA0002280568000000142

Figure BDA0002280568000000143

Figure BDA0002280568000000144

Figure BDA0002280568000000145

2) calculating the channel capacity C of the cognitive receiver at the stage of alpha being more than or equal to betad,2

According to the cognitive receiver receiving signals and combining with the Shannon formula, the channel capacity C of the cognitive receiver at the stage of alpha is larger than or equal to beta can be obtainedd,2Comprises the following steps:

Figure BDA0002280568000000146

3) probability of detection Pd from cognitive transmitters,2And false alarm probability Pfs,2Detection probability Pd of smart disturbancej,2And false alarm probability Pfj,2Channel capacity C of cognitive receiverd,2Calculating to obtain the integral interruption probability P of the alpha stage and the beta stageout,2

Defining the formula P according to the formula (23), the formula (24), the formula (29) to the formula (35), and the interruption probabilityout=Pr(Cd< R) and considering the conditional probability, the integral interruption probability P of the alpha ≧ beta stage can be obtainedout,2Comprises the following steps:

step 4, according to the calculated integral interruption probability P of the stage of alpha < betaout,1Integral outage probability P for the phase with alpha ≧ betaout,2Obtaining the overall outage probability P of the cognitive self-organizing networkout

Figure BDA0002280568000000152

Step 5, optimizing the spectrum sensing time alpha of the cognitive transmitter by using an iterative optimization algorithm so as to enable the integral interruption probability P of the cognitive self-organizing networkoutThe optimization problem of the perception time α in the minimum, i.e. in the presence of intelligent disturbances, can be described as:

Figure BDA0002280568000000153

setting initial conditions:

Figure BDA0002280568000000154

and

Figure BDA0002280568000000155

the content of the organic acid is 0.5,

Figure BDA0002280568000000156

is 1, probability of spectrum being free P00.8, cognitive transmitter signal-to-noise ratio γsIntelligent interference signal-to-noise ratio gammajSignal-to-noise ratio gamma to primary userp10dB, 5dB and 5dB, respectively, slot length T being 20ms, sampling frequency fs25kHz, data transmission rate R0.5 b/s/Hz, target detection probability

Figure BDA0002280568000000157

And

Figure BDA0002280568000000158

are set to 0.99.

Fig. 3 is a simulation diagram of cognitive transmitter sensing time α and overall outage probability under different intelligent interference sensing times β. By a trade-off between the spectrum sensing phase and the data transmission phase, there is always an optimal spectrum sensing time α*The overall outage probability of cognitive self-organization is minimized. As can be seen in the figure, α*Only at the segmentation point and at the inflection point of the curve, alpha which minimizes the overall probability of interruption when beta is 0.2, 0.5, 0.8 and 1*0.18, 0.41, 0.07 and 0.07 respectively, but as β increases, the overall outage probability minimum tends to increase first and then decrease. It can also be seen from the figure that when β is fixed, as α increases, the overall outage probability also tends to decrease and then increase, and a fragmentation condition may occur. This is because when α is small, spectrum sensing is inaccurate, so that the signal-to-noise ratio of the cognitive self-organizing user decreases, and the overall outage probability increases, and when α is large, the transmission time is too short, so that the overall outage probability increases. Segmentation occurs because of intelligent interference reception at the segmentation pointThe energy of the cognitive transmitter signal is too weak to stop sending interference, so that the overall outage probability of the cognitive receiver is improved.

It should be noted that while the invention has been described in terms of the above-mentioned embodiments, there are many other embodiments of the invention. It will be apparent to those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention, and it is intended that all such changes and modifications be covered by the appended claims and their equivalents.

18页详细技术资料下载
上一篇:一种医用注射器针头装配设备
下一篇:一种计算机模拟在双峰地形中进行无线电波通信的方法

网友询问留言

已有0条留言

还没有人留言评论。精彩留言会获得点赞!

精彩留言,会给你点赞!