Wireless communication system index optimization method and system based on univariate Fox-H function representation and storage medium thereof

Abstract

The invention discloses a wireless communication system index optimization method and system based on univariate Fox-H function representation and a storage medium thereof, and belongs to the technical field of wireless optical communication, and the method comprises the following steps: determining each index input parameter of a wireless optical communication system core performance index expressed by a univariate Fox-H function in a mixed fading channel transmission environment; substituting the determined index input parameters into an index parameter logic conversion model to generate index equivalent input parameters represented by a Meijer-G function; and calling a Meijer-G function equivalent model which is obtained by conversion of the function conversion equality model and is equivalent and corresponding to the Fox-H function in MATLAB software, and substituting the Meijer-G function equivalent model into the index equivalent input parameter represented by the Meijer-G function, so as to calculate and obtain a required optimization result of the core performance index of the wireless optical communication system represented by the Fox-H function. According to the method, the calculation amount is reduced while the calculation precision is ensured, and convenience is provided for researching core performance indexes of the wireless optical communication system.

Description

Technical Field

[0001] The present invention belongs to the technical field of wireless optical communications, and in particular relates to a wireless communication system index optimization method, system and storage medium based on single variable Fox-H function characterization. Background Art

[0002] Wireless optical communication technology is one of the core means for the future 6G / B6G mobile communication network to achieve global coverage of "air-space-land-sea" and high-speed, real-time and reliable transmission of wireless data. It is also an important component of the basic communication facilities of the future mobile Internet of Things (IoT).

[0003] In the process of theoretical architecture design of communication systems based on wireless optical communication, it is often necessary to theoretically calculate core performance indicators such as system average bit error rate, interruption probability, channel capacity, etc., to provide theoretical design guidance for the subsequent upper-layer network architecture. Studies have shown that theoretical calculations of the above core performance indicators of the system in complex fading environments often result in the use of single-variable high-transcendental Fox-H functions for characterization. Although scholars AA Kilbas et al. systematically expounded the basic theoretical knowledge of Fox-H functions in their book "H-Transforms: Theory and Applications (CRC Press)" in 2004, and scholars A.M. Mathai et al. also systematically expounded the basic theoretical knowledge of Fox-H functions in their monograph "The H-Function: Theory and Applications (Springer Press)" in 2010, they did not provide corresponding specific and efficient evaluation methods and strategies.

[0004] Therefore, it is necessary to propose a single-variable Fox-H function representation suitable for programming with MATLAB software, and to provide a convenient and efficient evaluation method and strategy for the core performance indicator research of wireless optical communication systems based on the MATLAB software platform. Summary of the invention

[0005] The purpose of the present invention is to overcome the deficiencies in the prior art and to provide a method, system and storage medium for optimizing wireless communication system indicators based on single variable Fox-H function characterization.

[0006] To achieve the above object, the present invention is implemented by adopting the following technical solutions:

[0007] In a first aspect, the present invention provides a method for optimizing wireless communication system indicators based on univariate Fox-H function characterization, comprising the following steps:

[0008] Determine the input parameters of the average bit error rate, average outage probability and channel capacity expressed by the univariate Fox-H function in the mixed fading channel transmission environment, which can be used as the core performance indicators of the wireless optical communication system;

[0009] Substitute the determined input parameters of each indicator into the indicator parameter logic conversion model between the Fox-H function and the Meijer-G function to generate the equivalent input parameters of the indicator represented by the Meijer-G function;

[0010] In MATLAB software, the Meijer-G function equivalent model obtained by the function conversion identity model conversion, which is equivalent to the Fox-H function, is called and the equivalent input parameters of the indicators represented by the Meijer-G function are substituted to calculate the required optimization results of the core performance indicators of the wireless optical communication system represented by the Fox-H function.

[0011] Further, the index input parameters include an index input scalar and an index input vector;

[0012] The index input scalar is expressed as m, n, p, q, z, where m, n, p, q are integers greater than or equal to 0, and z is a parameter related to the system signal-to-noise ratio;

[0013] The index input vector is expressed as [(a1,A1),...,(a p ,A p )],[(b1,B1),...,(b q ,B q )], where (a i ,A i ) and (b j ,B j )i=1,2,...,p;j=1,2,...,q are variables related to parameters characterizing turbulence effects, pointing errors, and receiving detection schemes.

[0014] Furthermore, the equivalent input parameters of the index represented by the Meijer-G function include equivalent input scalar k, The values ​​of M,c*,β,μ,a*,Δ; and the equivalent input synthesis vector Δ(k p ,a p ), Δ(l q ,b q ) value.

[0015] Furthermore, the indicator parameter logic conversion model is expressed by the formula:

[0016] The equivalent input parameters The relationship between c*, a*, μ, M, β, Δ and the indicator input parameters of the Fox-H function is:

[0017]

[0018] In the formula, Π represents the symbol of continuous multiplication, and Σ is the symbol of accumulation;

[0019] The equivalent input synthesis vector Δ(k p ,a p ) and Δ(l q ,b q ) and the indicator input parameters of the Fox-H function are as follows:

[0020] Δ(k p ,a p )=[Δ(k1,a1),Δ(k2,a2),...,Δ(k p ,a p )];

[0021] Δ(l q ,b q )=[Δ(l1,b1),Δ(l2,b2),...,Δ(l q ,b q )];

[0022] In the formula, k i Dimension vector;

[0023] Equivalent input synthesis vector Δ(k p ,a p ) has a total dimension of

[0024] Similarly, for l j Dimensional vector; equivalent input synthesis vector Δ(l q ,b q ) has a total dimension of

[0025] Furthermore, the function conversion identity model is expressed by the formula:

[0026]

[0027] In the formula, is the target single variable Fox-H function, where m, n, p, q, z are the index input scalars, and m, n, p, q are integers greater than or equal to 0, satisfying 0≤m≤q, 0≤n≤p, the values ​​of m, n, p, q are determined by the specific wireless optical communication channel fading statistical characteristics and performance index analysis type through theoretical derivation, and z is a parameter related to the signal-to-noise ratio of the wireless optical communication system;

[0028] [a p,A p ]=[(a1,A1),...,(a p ,A p )],[b q ,B q ]=[(b1,B1),...,(b q ,B q )] are p-dimensional and q-dimensional binary input vectors, respectively, which are variables related to the parameters characterizing turbulence effects, pointing errors, and receiving detection schemes; The equivalent input parameters are The Meijer-G function, is also an integer greater than or equal to 0, satisfying the relationship k is the input variable A1,...,A p ,B1,...,B p When all these positive numbers are written as rational fractions, the lowest common multiple of all their denominators is the positive integer k. i = kA i ,i=1,2,....,p,l j =kB j ,j=1,2,....,q;

[0029] Equivalent input synthesis vector Δ(k p ,a p )=[Δ(k1,a1),...,Δ(k p ,a p )], Δ(l q ,b q )=[Δ(l1,b1),...,Δ(l q ,b q )], where Δ(k i ,a i ) and Δ(l j ,b j ) represent k i Peacekeeping j dimensional vector; the remaining variables c*, a*, μ, M, β, Δ are also the index input parameters m, n, p, q of the Fox-H function, [a p ,A p ],[b q ,B q ] related calculation coefficients.

[0030] Furthermore, the contour integrals of the Fox-H function and the Meijer-G function are expressed as:

[0031]

[0032] In the formula, is the imaginary unit, L is the path of the contour integral, Γ(·) is the Gamma function, and s is a point on the complex plane;

[0033]

[0034] Where m1, n1, p1, q1 are integers greater than or equal to 0, satisfying 0≤m1≤q1, 0≤n1≤p1; x is the input scalar parameter, and is the input vector parameter; L1 is the complex plane integral contour of the Meijer-G function.

[0035] In a second aspect, the present invention provides a wireless communication system indicator evaluation system based on univariate Fox-H function characterization, comprising the following modules:

[0036] An indicator parameter determination module is used to determine the input parameters of various indicators such as average bit error rate, average interruption probability and channel capacity expressed by a single variable Fox-H function in a mixed fading channel transmission environment, which can be used as core performance indicators of the wireless optical communication system;

[0037] An indicator parameter conversion module is used to substitute the determined input parameters of each indicator into the indicator parameter logic conversion model between the Fox-H function and the Meijer-G function to generate the indicator equivalent input parameters represented by the Meijer-G function;

[0038] The indicator calling generation module is used to call the Meijer-G function equivalent model obtained by the function conversion identity model conversion and equivalent to the Fox-H function in the MATLAB software and substitute the indicator equivalent input parameters represented by the Meijer-G function to calculate the required optimization results of the core performance indicators of the wireless optical communication system represented by the Fox-H function.

[0039] In a third aspect, the present invention provides an electronic device, comprising:

[0040] processor;

[0041] a memory for storing instructions executable by the processor;

[0042] The processor is configured to execute the instructions to implement the wireless communication system indicator optimization method based on univariate Fox-H function characterization as described in any one of the first aspects.

[0043] In a fourth aspect, the present invention provides a computer-readable storage medium. When the instructions in the storage medium are executed by a processor of an electronic device, the electronic device is enabled to execute the wireless communication system indicator optimization method based on univariate Fox-H function characterization as described in any one of the first aspects.

[0044] In a fifth aspect, the present invention provides a computer program product, comprising a non-transitory computer-readable storage medium storing a computer program, wherein the computer program is operable to cause a computer to execute part or all of the steps in the method for optimizing wireless communication system indicators based on univariate Fox-H function characterization as described in any one of the first aspects.

[0045] Compared with the prior art, the present invention has the following beneficial effects:

[0046] The invention provides a wireless communication system index optimization method and system based on single variable Fox-H function characterization and a storage medium thereof. The method utilizes the conversion relationship between the Fox-H function to be calculated and the higher transcendental Meijer-G function, and implements the optimization of the core performance index of the wireless optical communication system characterized by the single variable Fox-H function by calling the inherent Meijer G built-in library function method optimized at the bottom layer in MATLAB software. The method is fast and accurate, and overcomes the lack of built-in Fox-H library function in the existing MATLAB software platform. Meanwhile, the method avoids the defects of cumbersome operation process and too high calculation complexity of the traditional contour integral calculation based on the original definition of the Fox-H function. The method can reduce the amount of simulation calculation while ensuring the calculation accuracy, thereby providing convenient guidance for the performance research of the wireless optical communication system. BRIEF DESCRIPTION OF THE DRAWINGS

[0047] Figure 1 is a flow chart of a wireless communication system indicator optimization method based on single variable Fox-H function characterization provided by an embodiment of the present invention;

[0048] Figure 2 This is a curve chart comparing the calculation results using the built-in Fox-H library function method of Mathematica software when the wireless communication system indicator optimization method based on univariate Fox-H function characterization provided by an embodiment of the present invention is used to calculate the average bit error rate performance of the UWOC link in the radio frequency-underwater wireless optical communication (RF-UWOC) system with a decoding and forwarding mechanism. DETAILED DESCRIPTION

[0049] The present invention will be further described below in conjunction with the accompanying drawings. The following embodiments are only used to more clearly illustrate the technical solution of the present invention, and cannot be used to limit the protection scope of the present invention.

[0050] When visible light in wireless optical communication systems is transmitted in the atmosphere or seawater environment, it is inevitably affected by mixed channel fading, including turbulence effects caused by changes in the physical properties of the transmission medium and pointing errors caused by factors such as transceiver jitter and displacement.

[0051] The core performance indicators of wireless optical communication systems derived based on the modeling of the statistical characteristics of hybrid channel fading, such as the system average bit error rate, outage probability, channel capacity, etc., are usually expressed in closed-form expressions in the form of The univariate Fox-H function is used to weight the representation.

[0052] Where m, n, p, q are integers greater than or equal to 0, and their values ​​are derived from the specific channel fading statistical characteristics and performance index analysis type; z is a parameter related to the system signal-to-noise ratio; (a i ,A i ) and (b j ,B j )i=1,2,...,p;j=1,2,...,q are variables related to parameters such as turbulence effect, pointing error, and receiving detection scheme.

[0053] Given the system signal-to-noise ratio, turbulence effect and pointing error strength, and receiving detection scheme, including (a i ,A i )、(b j ,B j ) and z can be regarded as deterministic constants. However, as pointed out in the previous analysis, the existing MATLAB software platform does not provide a built-in library function for calculating the Fox-H function, and the traditional Fox-H function contour integral calculation has the defects of cumbersome operation process and high computational complexity.

[0054] like Figure 1 As shown, the embodiment of the present invention provides a method for optimizing wireless communication system indicators based on univariate Fox-H function characterization, comprising the following steps:

[0055] Determine the input parameters of the average bit error rate, average outage probability and channel capacity expressed by the univariate Fox-H function in the mixed fading channel transmission environment, which can be used as the core performance indicators of the wireless optical communication system;

[0056] Substitute the determined input parameters of each indicator into the indicator parameter logic conversion model between the Fox-H function and the Meijer-G function to generate the equivalent input parameters of the indicator represented by the Meijer-G function;

[0057] In MATLAB software, the Meijer-G function equivalent model obtained by the function conversion identity model conversion, which is equivalent to the Fox-H function, is called and the equivalent input parameters of the indicators represented by the Meijer-G function are substituted to calculate the required optimization results of the core performance indicators of the wireless optical communication system represented by the Fox-H function.

[0058] In this embodiment, a wireless communication system index optimization method based on single variable Fox-H function characterization utilizes the built-in Meijer-G function library inherent in the MATLAB software platform, and a fixed mathematical conversion relationship between the built-in Meijer-G function library and the Fox-H function is used to achieve a fast, simple and accurate calculation of the core performance index optimization method of the wireless optical communication system represented by the single variable Fox-H function. The specific implementation method and application examples are described as follows:

[0059] Step S1: Determine the core performance indicators of the wireless optical communication system expressed by the single variable Fox-H function to be calculated, such as the input parameters of various indicators such as the system average bit error rate, average outage probability, and channel capacity.

[0060] In this embodiment, the various index input parameters include index input scalars m, n, p, q, z, and index input vectors [(a1, A1), ..., (a p ,A p )],[(b1,B1),...,(b q ,B q )] etc.; wherein m, n, p, q are integers greater than or equal to 0, and z is a parameter related to the signal-to-noise ratio of the wireless optical communication system; (a i ,A i ) and (b j ,B j )i=1,2,...,p;j=1,2,...,q are variables related to parameters such as turbulence effect, pointing error, and receiving detection scheme.

[0061] Step S2: According to the Fox-H function index input parameters related to the performance index of the wireless optical communication system given in the above step S1, the corresponding Meijer-G function equivalent index input parameters are generated through a certain parameter equivalent conversion relationship, such as an index parameter logical conversion model. Among them, the index equivalent input parameters include equivalent input scalars: k, The values ​​of M, c*, β, μ, a*, Δ, etc.; and the equivalent input synthesis vector: Δ(k p ,a p ), Δ(l q ,b q ) value.

[0062] Step S3: The corresponding Meijer-G function equivalent model is calculated by the function conversion identity model between the Fox-H function and the Meijer-G function, and the equivalent input parameters of the Meijer-G function obtained in the above step S2 are substituted. The above corresponding Meijer-G function equivalent model is called in the MATLAB software to calculate the required optimization calculation results of the core performance indicators of the wireless optical communication system expressed by the Fox-H function; it is expressed by the following formula:

[0063]

[0064] In this embodiment, the definition of the Fox-H function is as shown in the following formula (2): For integers m, n, p, q, such that 0≤m≤q,0≤n≤p, a i ,b j ∈C(complex number set),A i ,B j ∈R + =(0,∞),(i=1,2,...,p;j=1,2,...,q). The Fox-H function can be defined by the Mellin-Barnes type integral as follows:

[0065]

[0066] In the above formula, is the imaginary unit, L is the path of the contour integral, Γ(·) is the Gamma function, and s is a point on the complex plane.

[0067] In this embodiment, there exists the following identity conversion relationship between the Fox-H function and the higher transcendental Meijer G function, which is expressed as:

[0068]

[0069] In the above formula, The equivalent input parameters are The Meijer-G function of p ,B1,...,B p The lowest common multiple of all denominators of these numbers written in rational fraction form, where A1,...,A p ,B1,...,B q >0; hence there is a positive integer k i = kA i ,i=1,2,....,p,l j =kB j ,j=1,2,....,q.

[0070] The calculation expressions of the relevant equivalent parameters on the right side of the above formula (3) are as follows:

[0071]

[0072]

[0073] The equivalent input synthesis vector Δ(k p ,a p ) and Δ(l q ,b q ) then the expression is as follows:

[0074] Δ(k p ,a p )=[Δ(k1,a1),Δ(k2,a2),...,Δ(k p ,a p )] (11)

[0075] Δ(l q ,b q )=[Δ(l1,b1),Δ(l2,b2),...,Δ(l q ,b q )] (12)

[0076] In the above formula (11), k i dimension vector; and the equivalent input synthesis vector Δ(k p ,a p ) has a total dimension of In the above formula (11), for l j Dimensional vector; equivalent input synthesis vector Δ(l q ,b q ) has a total dimension of

[0077] The general definition of the complex contour integral of the Meijer-G function in equation (3) is as follows:

[0078]

[0079] In the above formula, m1, n1, p1, q1 are integers greater than or equal to 0, satisfying 0≤m1≤q1, 0≤n1≤p1; x is the input scalar parameter, and is the input vector parameter; L1 is the complex plane integral contour of the Meijer-G function.

[0080] In this embodiment, according to the input parameters of the Fox-H function, equivalent parameters are calculated by formulas (4) to (12), and then substituted into formula (3). That is, the MATLAB software can quickly calculate the various performance index values ​​of the required core performance indicators of the wireless optical communication system represented by the Fox-H function under a specific environment by directly calling its built-in Meijer-G library function.

[0081] Specifically, in this embodiment, a simulation calculation application of a method for optimizing the core performance indicators of a wireless optical communication system represented by a single variable Fox-H function is taken as an example.

[0082] In this embodiment, the average bit error performance analysis of the UWOC link of the radio frequency-underwater wireless optical communication (RF-UWOC) system using the decode-and-forward (DF) protocol is taken as an example to demonstrate the calculation effect of the technical solution of the proposed invention.

[0083] Assuming that the UWOC link under consideration experiences mixed channel fading containing generalized gamma distribution (GGD) turbulence fading and zero boresight pointing error, the transmitter signal adopts on-off keying (OOK) modulation and the receiver adopts direct detection scheme, the calculation formula of the average bit error rate of the link can be expressed as follows:

[0084]

[0085] In the above formula, a, b, c are parameters related to the GGD turbulence intensity, where a, c are shape parameters and b is a scale parameter; r = 2 corresponds to direct detection reception; ξ 2 It represents the ratio of the equivalent beam width to the jitter variance of the receiver, A0 represents the power ratio of the laser beam collected by the receiver at the center of the detector, and they are parameters related to the pointing error; p0=1 / 2, q0=1 / 4 are the corresponding OOK modulation calculation coefficients; γ is the average received signal-to-noise ratio of the link.

[0086] When the fast calculation method of the core performance index of the wireless optical communication system characterized by the single variable Fox-H function in the embodiment of the present invention is used to calculate the average bit error rate performance of the UWOC link in the decoding and forwarding RF-UWOC system, the comparison curve with the calculation result using the built-in Fox-H library function method of Mathematica software is as follows: Figure 2 shown.

[0087] The lower curve in the figure represents the turbulent fading environment bubble level (BL) of 2.4L / min, temperature gradient of 0.05℃ / cm, and turbulent scintillation index The two simulation results of the average bit error rate of the UWOC link with the average signal-to-noise ratio when (corresponding to a = 1.4299, b = 1.1817, c = 17); the upper curve represents the turbulent fading environment BL = 2.4L / min, temperature gradient 0.20℃ / cm, flicker index (corresponding to a=0.1599, b=1.5216, c=23)

[0088] observe Figure 2 The two calculation results given show that under different turbulent fading environments, the proposed method for fast optimization calculation of the average bit error rate of the wireless optical communication system characterized by the Fox-H function based on the MATLAB software platform and the calculation results obtained by calling its Fox-H library function method in the Mathematica commercial software are completely consistent. This shows that the proposed method of the present invention for fast calculation and determination of the core performance index optimization method of the wireless optical communication system characterized by the single variable Fox-H function by directly calling the Meijer-G function in the MATLAB software through the equivalent conversion relationship is completely correct and feasible.

[0089] The embodiment of the present invention proposes a method for optimizing the core performance indicators of a wireless optical communication system based on single-variable Fox-H function characterization, which directly utilizes the existing Meijer-G function library in MATLAB, and associates the Fox-H function with the Meijer-G function input variable through the equivalent conversion relationship, effectively avoiding the large amount of calculation and the risk of error when performing numerical integration through the traditional Fox-H function contour integral definition formula, as well as the problem of frequently manually determining the integral contour path according to different input parameters. The core performance indicators of the wireless optical communication system characterized by the Fox-H function, such as the system average bit error rate, interruption probability, channel capacity, etc., can be calculated quickly, simply and accurately in the MATLAB software platform, which makes up for the deficiency that the existing MATLAB software platform has no corresponding Fox-H function calculation function, and brings great convenience to the performance simulation research of the wireless optical communication system.

[0090] The above is only a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the technical principles of the present invention. These improvements and modifications should also be regarded as the scope of protection of the present invention.

Claims

1. A wireless communication system index optimization method based on single variable Fox-H function characterization, characterized in that: The steps include: Determine the input parameters of the average bit error rate, average outage probability and channel capacity expressed by the univariate Fox-H function in the mixed fading channel transmission environment, which can be used as the core performance indicators of the wireless optical communication system; Substitute the determined input parameters of each indicator into the indicator parameter logic conversion model between the Fox-H function and the Meijer-G function to generate the equivalent input parameters of the indicator represented by the Meijer-G function; In MATLAB software, the Meijer-G function equivalent model obtained by the function conversion identity model conversion, which is equivalent to the Fox-H function, is called and the equivalent input parameters of the indicators represented by the Meijer-G function are substituted, so as to calculate the required optimization results of the core performance indicators of the wireless optical communication system represented by the Fox-H function.

2. The wireless communication system index optimization method based on single variable Fox-H function characterization according to claim 1 is characterized in that: The index input parameters include an index input scalar and an index input vector; The index input scalar is expressed as m, n, p, q, z, where m, n, p, q are integers greater than or equal to 0, and z is a parameter related to the system signal-to-noise ratio; The index input vector is expressed as [(a1,A1),...,(a p ,A p )],[(b1,B1),...,(b q ,B q )], where (a i ,A i ) and (b j ,B j )i=1,2,...,p;j=1,2,...,q are variables related to parameters characterizing turbulence effects, pointing errors, and receiving detection schemes.

3. The wireless communication system index optimization method based on single variable Fox-H function characterization according to claim 2 is characterized in that: The equivalent input parameters characterized by the Meijer-G function include the equivalent input scalar index The values ​​of M,c*,β,μ,a*,Δ; and the equivalent input synthesis vector Δ(k p ,a p ), Δ(l q ,b q ) value.

4. The wireless communication system index optimization method based on single variable Fox-H function characterization according to claim 3 is characterized in that: The indicator parameter logic conversion model is expressed by the formula: The equivalent input parameters The relationship between c*, a*, μ, M, β, Δ and the indicator input parameters of the Fox-H function is: In the formula, Π represents the symbol of continuous multiplication, and Σ is the symbol of accumulation; The equivalent input synthesis vector Δ(k p ,a p ) and Δ(l q ,b q ) and the indicator input parameters of the Fox-H function are as follows: Δ(k p ,a p )=[Δ(k1,a1),Δ(k2,a2),...,Δ(k p ,a p )]; Δ(l q ,b q )=[Δ(l1,b1),Δ(l2,b2),...,Δ(l q ,b q )]; In the formula, k i Dimension vector; Equivalent input synthesis vector Δ(k p ,a p ) has a total dimension of Similarly, for l j Dimensional vector; equivalent input synthesis vector Δ(l q ,b q ) has a total dimension of 5. The wireless communication system index optimization method based on single variable Fox-H function characterization according to claim 4 is characterized in that: The function conversion identity model is expressed by the formula: In the formula, is the target single variable Fox-H function, where m, n, p, q, z are the index input scalars, and m, n, p, q are integers greater than or equal to 0, satisfying 0≤m≤q, 0≤n≤p, the values ​​of m, n, p, q are determined by the specific wireless optical communication channel fading statistical characteristics and performance index analysis type through theoretical derivation, and z is a parameter related to the signal-to-noise ratio of the wireless optical communication system; [a p ,A p ]=[(a1,A1),...,(a p ,A p )],[b q ,B q ]=[(b1,B1),...,(b q ,B q )] are p-dimensional and q-dimensional binary input vectors, respectively, which are variables related to the parameters characterizing turbulence effects, pointing errors, and receiving detection schemes; The equivalent input parameters are The Meijer-G function, is also an integer greater than or equal to 0, satisfying the relationship k is the input variable A1,...,A p ,B1,...,B p When all these positive numbers are written as rational fractions, the lowest common multiple of all their denominators is the positive integer k. i = kA i ,i=1,2,....,p,l j =kB j ,j=1,2,....,q; Equivalent input synthesis vector Δ(k p ,a p )=[Δ(k1,a1),...,Δ(k p ,a p )], Δ(l q ,b q )=[Δ(l1,b1),...,Δ(l q ,b q )], where Δ(k i ,a i ) and Δ(l j ,b j ) represent k i Peacekeeping j dimensional vector; The remaining variables c*, a*, μ, M, β, Δ are also related to the indicator input parameters m, n, p, q of the Fox-H function. p ,A p ],[b q ,B q ] related calculation coefficients.

6. The wireless communication system index optimization method based on single variable Fox-H function characterization according to claim 5 is characterized in that: The contour integrals of the Fox-H function and the Meijer-G function are expressed as: In the formula, is the imaginary unit, L is the path of the contour integral, Γ(·) is the Gamma function, and s is a point on the complex plane; Where m1, n1, p1, q1 are integers greater than or equal to 0, satisfying 0≤m1≤q1, 0≤n1≤p1; x is the input scalar parameter, and is the input vector parameter; L1 is the complex plane integral contour of the Meijer-G function.

7. A wireless communication system index evaluation system based on single variable Fox-H function characterization, characterized in that: Contains the following modules: An indicator parameter determination module is used to determine the input parameters of various indicators such as average bit error rate, average interruption probability and channel capacity expressed by a single variable Fox-H function in a mixed fading channel transmission environment as core performance indicators of a wireless optical communication system; An indicator parameter conversion module is used to substitute the determined input parameters of each indicator into the indicator parameter logic conversion model between the Fox-H function and the Meijer-G function to generate the indicator equivalent input parameters represented by the Meijer-G function; The indicator calling generation module is used to call the Meijer-G function equivalent model obtained by the function conversion identity model conversion and equivalent to the Fox-H function in the MATLAB software and substitute the indicator equivalent input parameters represented by the Meijer-G function to calculate the required optimization results of the core performance indicators of the wireless optical communication system represented by the Fox-H function.

8. An electronic device comprising: processor; a memory for storing instructions executable by the processor; The processor is configured to execute the instructions to implement the wireless communication system indicator optimization method based on univariate Fox-H function characterization as described in any one of claims 1 to 6.

9. A computer-readable storage medium, when the instructions in the storage medium are executed by a processor of an electronic device, enables the electronic device to execute the wireless communication system indicator optimization method based on single-variable Fox-H function characterization as described in any one of claims 1 to 6.

10. A computer program product, comprising a non-transitory computer-readable storage medium storing a computer program, wherein the computer program is operable to cause a computer to execute part or all of the steps in the method for optimizing wireless communication system indicators based on univariate Fox-H function characterization as described in any one of claims 1 to 6.

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