Design method of non-uniform sensing frame structure

Abstract

The invention discloses a non-uniform sensing frame structure design method, which relates to the technical field of wireless communication physical layers, and comprises the following steps: 1) calculating the minimum number of required non-uniform sensing symbols according to sensing performance indexes required by a sensing frame structure; and 2) calculating an actual arrangement index of each non-uniform sensing symbol according to the minimum number of the required non-uniform sensing symbols, and distributing the rest symbols to communication users. According to the method, the augmented nested structure is adopted to configure the arrangement of the sensing symbols, the correlation between the sensing symbols is fully utilized, the virtual differential sensing symbols are constructed, the sensing resource overhead is reduced, and the sensing performance precision and the successful detection probability are improved.

Description

Technical Field

[0001] The present invention relates to the technical field of wireless communication physical layer, in particular to a method for designing a non-uniform synaesthesia frame structure. Background Art

[0002] The design of the synaesthesia frame structure is the core foundation for achieving integrated communication and perception. Its performance directly determines the efficiency of perception and communication resource utilization, as well as the flexibility of the overall system. In traditional synaesthesia frame structures, perception signals are typically uniformly distributed in the frame structure symbol design to simplify signal processing and ensure high perception performance. However, this uniform distribution requires that perception signals be distributed periodically at short intervals, resulting in significant time-domain resource overhead, which severely degrades the system's communication performance.

[0003] Through the differential cooperative array design method, a small number of non-uniform sensing symbols can be used to generate a large number of uniform virtual differential sensing symbols, thereby reducing the time domain overhead of sensing resources while meeting the sensing performance indicators of uniform sensing signal configuration. Therefore, the synaesthesia frame structure design with non-uniform sensing symbol configuration has become a frame structure design scheme with greater perception advantages due to its higher resource utilization efficiency. In the article entitled "Non-uniform sensing signal design for synaesthesia integration" by Ding Shengli, Li Jianzhi, Jiang Dajie, Chen Baolong, Yao Jian, and Qin Fei, current research on non-uniform synaesthesia frame structure design mainly arranges sensing symbols in nested columns. Although this design has a closed-form solution and is simple and suitable for large-scale sensing symbol configuration, it still has a high perception resource overhead, and the perception accuracy and successful detection probability need to be improved.

[0004] In summary, designing a non-uniform synaesthesia frame structure with low temporal domain perception resource overhead, high perception accuracy and successful detection probability has important research significance. Summary of the Invention

[0005] The present invention aims to overcome the shortcomings of existing technologies by providing a method for designing a non-uniform synaesthesia frame structure suitable for large-scale perceptual symbol configuration and with low temporal perceptual resource overhead. By employing an augmented nested structure to configure the perceptual symbol arrangement, the correlation between perceptual symbols is fully utilized to construct virtual differential perceptual symbols, significantly reducing the temporal perceptual symbol overhead.

[0006] The present invention adopts the following technical solutions to solve the above technical problems:

[0007] A method for designing a non-uniform synaesthesia frame structure according to the present invention includes:

[0008] Maximum speed υ based on a given speed observation range max and minimum speed υ min, and the speed resolution index Δυ, calculate the minimum number of required non-uniform perception symbols M * ;

[0009] Maximum speed υ based on a given speed observation range max and minimum speed υ min , and the calculated minimum number M of required non-uniform perceptual symbols * , calculate the actual arrangement index of each non-uniform perception symbol.

[0010] As a further optimization scheme of the non-uniform synaesthesia frame structure design method of the present invention, based on the maximum speed υ of a given speed observation range max and minimum speed υ min , and the speed resolution index Δυ, calculate the minimum number M of required non-uniform perception symbols * , specifically:

[0011] Maximum speed υ based on a given speed observation range max and minimum speed υ min , and the speed resolution index Δυ, calculate the minimum number of required virtual differential perception symbols L0, which is expressed as follows:

[0012]

[0013] in, represents rounding up;

[0014] Based on the obtained minimum number of required virtual differential perception symbols L0, the following optimization problem is constructed to minimize the number of required non-uniform perception symbols M:

[0015]

[0016] in, L is the parameter of the augmented nested structure, round(·) represents the rounding operation, M is a positive integer, and the optimal solution M of M is found through linear search. * .

[0017] As a further optimization scheme of the non-uniform synaesthesia frame structure design method of the present invention, based on the maximum speed υ of a given speed observation range max and minimum speed υ min , and the calculated minimum number M of required non-uniform perceptual symbols * , calculate the actual arrangement index of each non-uniform perception symbol; including:

[0018] Define an M * The dimension virtual interval vector u is an integer vector;

[0019] Define the virtual index vector v as the M of the perception symbol * dimensional virtual index, each element of the virtual index vector v of the perception symbol is calculated based on the virtual interval vector u and is expressed as

[0020]

[0021] Where v[m] represents the mth element of the virtual index vector v, and u[n] represents the nth element of the virtual interval vector u;

[0022] Maximum speed υ based on a given speed observation range max and minimum speed υ min , find the reference interval Δ between perception symbols as

[0023]

[0024] Where λ represents the carrier wavelength of the synaesthesia integration system, T Δ represents the duration of each symbol, Indicates rounding down;

[0025] Define vector r as the perception symbol M * The m-th element of the actual arrangement index vector r is r[m], which represents the actual arrangement index of the m-th non-uniform perception symbol. r[m] is expressed as follows:

[0026] r[m]=(v[m]-1)Δ+1, m=1, 2,…,M * .

[0027] As a further optimization scheme of the non-uniform synaesthesia frame structure design method described in the present invention, according to the augmented nested array structure, the virtual interval vector u is expressed as

[0028]

[0029] The superscript T stands for transpose.

[0030] Compared with the prior art, the present invention adopts the above technical solution and has the following technical effects:

[0031] The present invention adopts an augmented nested structure, which significantly reduces the perception resource overhead while ensuring the accuracy of perception performance and the probability of successful detection, thereby ensuring communication performance. BRIEF DESCRIPTION OF THE DRAWINGS

[0032] Figure 1 A flowchart of a method for designing a non-uniform synaesthesia frame structure;

[0033] Figure 2A schematic diagram of the design of a non-uniform synaesthesia frame structure based on an augmented nested structure;

[0034] Figure 3 This is a diagram showing the effect of perceived resource overhead obtained by the embodiment of the present invention and the benchmark solution;

[0035] Figure 4 This is a diagram of the perception accuracy obtained by the embodiment of the present invention and the benchmark solution;

[0036] Figure 5 The successful detection probability effect diagram obtained by the embodiment of the present invention and the benchmark solution. DETAILED DESCRIPTION

[0037] In order to make the objectives, technical solutions and advantages of the present invention more clear, the present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.

[0038] Example 1

[0039] See also Figure 1 , Figure 2 ,in Figure 2 Taking the case where the minimum number of required non-uniform perceptual symbols is 8 and the reference interval is 1 as an example, the specific implementation method of the present invention includes the following steps:

[0040] Step 1: In a synaesthesia integrated system, the maximum speed of the speed observation range is υ max and minimum speed υ min , and the speed resolution index Δυ. First, it is necessary to determine the minimum number M of non-uniform perceptual symbols required based on the perceptual design index of the above synaesthesia frame structure. * .

[0041] a1) Maximum speed υ based on a given speed observation range max and minimum speed υ min , and the velocity resolution index Δυ, calculate the number of required virtual differential perception symbols

[0042] a2) Based on the number of required virtual differential perception symbols L0, with the number of required virtual differential perception symbols as the constraint and the goal of minimizing the number of required non-uniform perception symbols, design the minimum number M of required non-uniform perception symbols * ;

[0043] Step 2: Based on the minimum number M of required non-uniform perceptual symbols * , calculate the actual index of each non-uniform perceptual symbol.

[0044] b1) According to the augmented nested array structure, the virtual interval vector u can be expressed as

[0045]

[0046] b2) Based on the virtual interval vector u, calculate the virtual index of each perception symbol

[0047] b3) Maximum speed based on a given speed observation range max and minimum speed υ min , find the reference interval between perceptual symbols

[0048] b4) According to the given reference interval Δ and virtual arrangement index vector v, design M * The actual arrangement index of the perceptual symbols r[m]=(v[m]-1)Δ+1, m=1, 2, ..., M * .

[0049] The results of the above specific embodiments are as follows Figure 3 As shown in the figure, the result diagram shows the difference in perception resource overhead between the non-uniform synaesthesia frame structure design scheme based on the augmented nested structure and the non-uniform synaesthesia frame structure design scheme based on the nested structure, wherein the non-uniform synaesthesia frame structure design scheme based on the nested structure refers to the non-uniform synaesthesia frame structure design scheme proposed in Ding Shengli, Li Jianzhi, Jiang Dajie, Chen Baolong, Yao Jian, and Qin Fei. Design of non-uniform perception signal for synaesthesia integration [J]. Mobile Communications, 2024, 48(3): 95-106. The example effect diagram shows that: when the number of required virtual differential perception resources is the same, the number of perception resource symbol overheads of the present invention is lower than that of the existing scheme. Figure 4 The performance difference in perceptual error between the proposed augmented nested structure-based non-uniform synaesthesia frame design and the traditional nested structure-based non-uniform synaesthesia frame design is demonstrated. This example rendering shows that the present invention outperforms existing solutions in terms of perceptual accuracy. Figure 5 The results show the performance of the successful detection probability of a non-uniform synaesthesia frame structure design based on an augmented nested structure and a non-uniform synaesthesia frame structure design based on a traditional nested structure. The example renderings show that the present invention has a high successful detection probability under all conditions with the required number of virtual differential sensing resources, far superior to existing solutions.

[0050] Table 1 gives an example of a virtual arrangement index of non-uniform perception symbols in a synaesthesia frame structure based on an augmented nested structure, based in part on the number of required virtual differential perception symbols L0; Table 2 gives an example of an actual arrangement index of non-uniform perception symbols in a synaesthesia frame structure based on an augmented nested structure, based in part on the number of required virtual differential perception symbols L0.

[0051]

[0052] Table 1

[0053]

[0054]

[0055] Table 2

[0056] The above description is only a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any changes or substitutions that can be easily conceived by a technician familiar with this technical field within the technical scope disclosed by the present invention should be covered by the scope of protection of the present invention.

Claims

1. A method for designing a non-uniform synaesthesia frame structure, characterized in that: include: The maximum speed v based on a given speed observation range max and minimum speed v min , and the velocity resolution index Δv, calculate the minimum number M of required non-uniform perception symbols * ; The maximum speed v based on a given speed observation range max and minimum speed v min , and the calculated minimum number M of required non-uniform perceptual symbols * , calculate the actual arrangement index of each non-uniform perception symbol.

2. The method for designing a non-uniform synaesthesia frame structure according to claim 1, wherein: The maximum speed v based on a given speed observation range max and minimum speed v min , and the velocity resolution index Δv, calculate the minimum number M of required non-uniform perception symbols * , specifically: The maximum speed v based on a given speed observation range max and minimum speed v min , and the velocity resolution index Δv, calculate the minimum number of required virtual differential perception symbols L0, which is expressed as follows: in, represents rounding up; Based on the obtained minimum number of required virtual differential perception symbols L0, the following optimization problem is constructed to minimize the number of required non-uniform perception symbols M: st4L(M-3L)≥L0, in, L is the parameter of the augmented nested structure, round(·) represents the rounding operation, M is a positive integer, and the optimal solution M of M is found through linear search. * .

3. The method for designing a non-uniform synaesthesia frame structure according to claim 2, wherein: The maximum speed v based on a given speed observation range max and minimum speed v min , and the calculated minimum number M of required non-uniform perceptual symbols * , calculate the actual arrangement index of each non-uniform perception symbol; including: Define an M * The dimension virtual interval vector u is an integer vector; Define the virtual index vector v as the M of the perception symbol * dimensional virtual index, each element of the virtual index vector v of the perception symbol is calculated based on the virtual interval vector u and is expressed as Where v[m] represents the mth element of the virtual index vector v, and u[n] represents the nth element of the virtual interval vector u; The maximum speed v based on a given speed observation range max and minimum speed v min , find the reference interval Δ between perception symbols as Where λ represents the carrier wavelength of the synaesthesia integration system, T Δ represents the duration of each symbol, Indicates rounding down; Define vector r as the perception symbol M * The m-th element of the actual arrangement index vector r is r[m], which represents the actual arrangement index of the m-th non-uniform perception symbol. r[m] is expressed as follows: r[m]=(v[m]-1]Δ+1,m=1,2,…,M * 。 4. The method for designing a non-uniform synaesthesia frame structure according to claim 3, wherein: According to the augmented nested array structure, the virtual interval vector u is expressed as The superscript T stands for transpose.

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