A non-uniform sensing frame structure design method

Abstract

The application discloses a non-uniform sensing frame structure design method, and relates to the technical field of wireless communication physical layer, comprising the following steps: 1) calculating the minimum number of required non-uniform sensing symbols according to the required sensing performance index of the sensing frame structure; 2) calculating the actual arrangement index of each non-uniform sensing symbol according to the minimum number of required non-uniform sensing symbols, and allocating the remaining symbols to communication users. The application adopts an augmented nested structure to configure the arrangement of the sensing symbols, fully utilizes the correlation between the sensing symbols, constructs virtual differential sensing symbols, reduces sensing resource overhead, and improves the precision of sensing performance and the successful detection probability.

Description

Technical Field

[0001] This invention relates to the field of wireless communication physical layer technology, and in particular to a non-uniform inductive frame structure design method. Background Technology

[0002] The design of the sensing frame structure is the core foundation for realizing the integration of communication and sensing. Its performance directly determines the utilization efficiency of sensing and communication resources and the flexibility of the overall system. In traditional sensing frame structures, the sensing signals are usually configured with a uniform distribution in the frame structure symbol design to simplify the signal processing flow and ensure high sensing performance. However, this uniform distribution requires the sensing signals to be distributed periodically at short time intervals, which leads to a large time-domain resource overhead, thus severely degrading the system's communication performance.

[0003] By employing differential cooperative array design methods, a large number of uniform virtual differential sensing symbols can be generated using a small number of non-uniform sensing symbols. This reduces the temporal overhead of sensing resources while meeting the sensing performance indicators of uniform sensing signal configuration. Therefore, the synesthetic frame structure design with non-uniform sensing symbol configuration has become a more advantageous frame structure design scheme due to its higher resource utilization efficiency. In the article titled "Design of Non-uniform Sensing Signals for Synesthetic Integration" by Ding Shenglin, Li Jianzhi, Jiang Dajie, Chen Baolong, Yao Jian, and Qin Fei, current research on non-uniform synesthetic frame structure design mainly arranges sensing symbols in nested columns. Although this design has a closed-form solution, is simple, and suitable for large-scale sensing symbol configuration, it still incurs high sensing resource overhead, and the sensing accuracy and successful detection probability need further improvement.

[0004] In summary, designing a non-uniform synesthetic frame structure with low temporal sensing resource overhead, high sensing accuracy, and high success detection probability is of great research significance. Summary of the Invention

[0005] The technical problem to be solved by this invention is to overcome the shortcomings of the prior art and provide a non-uniform sensing frame structure design method that is suitable for large-scale sensing symbol configuration and has low temporal sensing resource overhead. By using an augmented nested structure to configure the arrangement of sensing symbols, the correlation between sensing symbols is fully utilized to construct virtual differential sensing symbols, significantly reducing the temporal overhead of sensing symbols.

[0006] To solve the above-mentioned technical problems, the present invention adopts the following technical solution:

[0007] A non-uniform syn-sensory frame structure design method proposed according to the present invention includes:

[0008] The maximum speed υ based on the given speed observation range max and minimum speed υ minAnd, based on the velocity resolution index Δυ, calculate the minimum number M required for non-uniform sensing symbols. * ;

[0009] The maximum speed υ based on the given speed observation range max and minimum speed υ min And the minimum number M of the required non-uniform sensing symbols calculated. * The actual arrangement index of each non-uniform sensing symbol is calculated.

[0010] As a further optimization of the non-uniform syn-sensory frame structure design method described in this invention, based on the maximum velocity υ within a given velocity observation range... max and minimum speed υ min And, based on the velocity resolution index Δυ, calculate the minimum number M required for non-uniform sensing symbols. * Specifically:

[0011] The maximum speed υ based on the given speed observation range max and minimum speed υ min Given the velocity resolution index Δυ, the minimum number of virtual differential sensing symbols L0 required is calculated, as shown in the following expression:

[0012]

[0013] in, It represents rounding up;

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

[0015]

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

[0017] As a further optimization of the non-uniform syn-sensory frame structure design method described in this invention, based on the maximum velocity υ within a given velocity observation range... max and minimum speed υ min And the minimum number M of the required non-uniform sensing symbols calculated. * Calculate the actual arrangement index of each non-uniform sensing symbol; including:

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

[0019] Define the virtual index vector v as the M of the perceptual symbol * The virtual index is calculated based on the virtual interval vector u, and each element of the virtual index vector v of the perceptual symbol is represented as follows:

[0020]

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

[0022] The maximum speed υ based on the given speed observation range max and minimum speed υ min The baseline interval Δ between the perceived symbols is calculated as follows:

[0023]

[0024] Where λ represents the carrier wavelength of the integrated sensing system, and T Δ Indicates the duration of each symbol. Indicates rounding down;

[0025] Define vector r as the M of the perceptual symbol * The actual arrangement index vector is r[m], where the m-th element of the actual arrangement index vector r is r[m], and r[m] represents the actual arrangement index of the m-th non-uniform sensing symbol; r[m] is represented as follows:

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

[0027] As a further optimization of the non-uniform syn-sensory frame structure design method described in this invention, based on the augmented nested array structure, the virtual interval vector u is represented as follows:

[0028]

[0029] The superscript T stands for transpose.

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

[0031] This invention employs an augmented nested structure, which significantly reduces sensing resource overhead while ensuring the accuracy of sensing performance and the probability of successful detection, thereby guaranteeing communication performance. Attached Figure Description

[0032] Figure 1 A flowchart of a non-uniform synesthesia frame structure design method;

[0033] Figure 2This is a schematic diagram of a non-uniform synesthesia frame structure design based on an augmented nested structure.

[0034] Figure 3 The diagram shows the perceived resource overhead effect obtained from the embodiments and benchmark schemes of the present invention.

[0035] Figure 4 The diagram shows the perception accuracy results obtained from the embodiments and benchmark schemes of the present invention.

[0036] Figure 5 This is a graph showing the success detection probability obtained from the embodiments and benchmark schemes of the present invention. Detailed Implementation

[0037] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be described in detail below with reference to the accompanying drawings and specific embodiments.

[0038] Example 1

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

[0040] Step 1: In a synesthetic system, the maximum speed υ within the speed observation range. max and minimum speed υ min And the velocity resolution index Δυ. First, based on the above-mentioned sensory design indexes for the synesthetic frame structure, it is necessary to determine the minimum number M of the required non-uniform sensing symbols. * .

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

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

[0043] Step 2: Based on the minimum number M of the required non-uniform sensing symbols * The actual index of each non-uniform sensing symbol is calculated.

[0044] b1) Based on the augmented nested array structure, the virtual gap vector u can be expressed as:

[0045]

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

[0047] b3) Maximum speed υ based on a given velocity observation range max and minimum speed υ min Determine the baseline interval between perceptual symbols.

[0048] b4) Based on the given baseline interval Δ and virtual arrangement index vector v, design M * The actual arrangement index of the perceptual symbols is 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 results illustrate the differences in sensing resource overhead between the non-uniform synesthetic frame structure design scheme based on augmented nested structure and the non-uniform synesthetic frame structure design scheme based on nested structure. The non-uniform synesthetic frame structure design scheme based on nested structure refers to the non-uniform synesthetic frame structure design scheme proposed in Ding Shengli, Li Jianzhi, Jiang Dajie, Chen Baolong, Yao Jian, Qin Fei. Design of Non-uniform Sensing Signals for Synesthetic Integration [J]. Mobile Communications, 2024, 48(3):95-106. The example effect figure shows that when the number of required virtual differential sensing resources is the same, the number of sensing resource symbol overheads of the present invention is lower than that of the existing scheme. Figure 4 The performance difference in perception error between the proposed non-uniform synesthetic frame structure design based on augmented nesting and the traditional nested non-uniform synesthetic frame structure design is demonstrated. The example illustration shows that the present invention outperforms existing solutions in terms of perception accuracy. Figure 5 This paper demonstrates the performance of a non-uniform synesthetic frame structure design based on an augmented nested structure and a non-uniform synesthetic frame structure design based on a traditional nested structure in terms of successful detection probability. The example illustration shows that the present invention achieves a high successful detection probability across all required virtual differential sensing resources, significantly outperforming existing solutions.

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

[0051]

[0052] Table 1

[0053]

[0054]

[0055] Table 2

[0056] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in the present invention should be included within the scope of protection of the present invention.

Claims

1. A method for designing a non-uniform synesthetic frame structure, characterized in that, Comprising: maximum speed v based on a given speed observation range max and minimum speed v min and a speed resolution index Δv, the minimum number M of required non-uniform perception symbols is calculated * ; 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 perception symbols * the actual arrangement index of each non-uniform perception symbol is calculated; maximum speed v based on a given speed observation range max and minimum speed v min and speed resolution index Δv, the minimum number M of required non-uniform perception symbols is calculated * , specifically: maximum speed v based on a given speed observation range max and minimum speed v min and a speed resolution index Δv, the required minimum number of virtual differential perception symbols L0 is calculated, expressed as follows: wherein represents a rounding up; Based on the obtained required minimum number of virtual differential perception symbols L0, construct the following optimization problem that minimizes the required number of non-uniform perception symbols M s.t. 4L(M-3L) ≥ L0, wherein, L is a parameter of the augmented nested structure, round( ) denotes a rounding operation, M is a positive integer, and the optimal solution M of M is found by linear search * ; a maximum speed v based on a given speed observation range max and a minimum speed v min and a calculated minimum number M of required non-uniform perception symbols * calculating an actual arrangement index of each non-uniform perception symbol; comprising: define a M * the virtual interval vector u is an integer vector; The virtual index vector v is defined as the M * The virtual index vector v is defined as the M Each element of the virtual index vector v representing the perceptual symbol is computed based on the virtual interval vector u as where v[m] denotes the mth element of the virtual index vector v and u[n] denotes the nth element of the virtual interval vector u. Maximum speed v based on the given speed observation range max and minimum speed v min The reference interval Δ between the perceived symbols is found as where λ denotes a carrier wavelength of the synesthesia integration system, T Δ denotes a duration of each symbol, denotes a floor function; The definition vector r is the M * The actual arrangement index vector, the mth element of the actual arrangement index vector r is r[m], and r[m] represents the actual arrangement index of the mth non-uniform perceptual symbol; r[m] is represented as follows: r[m] = (v[m] - 1)Δ + 1, m = 1, 2,..., M * ; According to the augmented nested array structure, the virtual interval vector u is expressed as where the superscript T is the transpose.

Images