A time-frequency joint design method of a non-uniform sensing two-dimensional frame structure

Abstract

This invention discloses a time-frequency joint design method for a non-uniform sensing two-dimensional frame structure, relating to the field of wireless communication physical layer technology. The method includes: 1) calculating the minimum number of virtual sensing symbols required in the time and frequency domains based on the required sensing performance indicators of the sensing frame structure; 2) calculating the actual arrangement index set of non-uniform sensing symbols and the minimum number of required non-uniform sensing symbols based on the minimum number of virtual sensing symbols required in the time and frequency domains, and allocating the remaining symbols to communication users. This invention uses a shift-symmetric coprime structure to configure the arrangement of sensing symbols, fully utilizing the correlation between sensing symbols to construct virtual differential sensing symbols, reducing sensing resource overhead and improving the accuracy of sensing performance.

Description

Technical Field

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

[0002] The design of the sensing frame structure is a crucial aspect of integrated communication and sensing, and its performance directly determines the utilization efficiency of sensing and communication resources as well as the system's flexibility. Traditional radar systems employing uniform sensing resource arrangements suffer from high time-frequency resource overhead and poor flexibility.

[0003] Non-uniform sensing signal design offers a new approach to solving this problem. By introducing a differential cooperative array design method into a non-uniform sensing resource arrangement structure, a large number of uniform virtual differential sensing symbols can be generated using a small number of non-uniform sensing symbols. This significantly reduces temporal resource overhead and improves communication performance while meeting sensing performance indicators. This synesthetic frame structure design with non-uniform sensing symbol configuration is more advantageous due to its higher resource utilization efficiency.

[0004] In synesthetic frame structures employing OFDM symbols, sensing resources can be configured in both the time and frequency domains. By employing differential cooperative array design methods in both the time and frequency dimensions for joint time-frequency design, the sensing resource overhead of the synesthetic frame structure can be further reduced. Currently, research on joint time-frequency design of non-uniform synesthetic frame structures mainly arranges sensing symbols in nested planes. Although closed-form solutions exist, the design is simple and suitable for large-scale sensing symbol configuration, but problems such as high sensing resource overhead and the need to improve sensing accuracy still exist. Existing technologies have limitations in terms of sensing resource overhead in both the time and frequency domains. Summary of the Invention

[0005] The technical problem to be solved by the present invention is to overcome the shortcomings of the prior art and provide a time-frequency joint design method for a non-uniform sensing two-dimensional frame structure, which significantly reduces the sensing resource overhead while ensuring the accuracy of sensing performance, thereby guaranteeing communication performance.

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

[0007] A time-frequency joint design method for a non-uniform syn-inductive two-dimensional frame structure proposed according to the present invention includes:

[0008] The minimum number of virtual differential sensing symbols required in the time domain and frequency domain are calculated based on the required sensing performance indicators of the synesthetic frame structure.

[0009] Based on the minimum number of virtual differential sensing symbols required in the time and frequency domains, the true arrangement index set of non-uniform sensing symbols and the minimum number of non-uniform sensing symbols required are calculated.

[0010] As a further optimization of the time-frequency joint design method for a non-uniform sensing two-dimensional frame structure described in this invention, a shift-symmetric coprime structure is used to configure the arrangement of sensing symbols, and virtual differential sensing symbols are constructed by utilizing the correlation between sensing symbols.

[0011] As a further optimization of the time-frequency joint design method for a non-uniform synesthetic two-dimensional frame structure described in this invention, the specific details are as follows:

[0012] Based on the maximum distance R within a given observation range max and maximum speed υ max The minimum number of virtual differential sensing symbols M required in the time domain and the minimum number of virtual differential sensing symbols N required in the frequency domain are calculated using the distance resolution index ΔR and the velocity resolution index Δυ, respectively.

[0013] Based on the maximum distance R within a given observation range max and maximum speed υ max And, based on the calculated minimum number M of virtual differential sensing symbols required in the time domain and the minimum number N of virtual differential sensing symbols required in the frequency domain, the true arrangement index set of non-uniform sensing symbols is calculated. And the minimum number K of the required non-uniform sensing symbols.

[0014] As a further optimization scheme for the time-frequency joint design method of the non-uniform syn-sensory two-dimensional frame structure described in this invention, based on the maximum distance R within a given observation range... max and maximum speed υ max And, based on the distance resolution index ΔR and the velocity resolution index Δυ, the minimum number M of virtual differential sensing symbols required in the time domain and the minimum number N of virtual differential sensing symbols required in the frequency domain are calculated respectively, as follows:

[0015] Based on the maximum distance R within a given observation range max Given the distance resolution index ΔR, the minimum number N required for virtual differential sensing symbols in the frequency domain is calculated as follows:

[0016]

[0017] in, This represents the round-up operator;

[0018] Maximum velocity υ based on a given observation range max Given the velocity resolution index Δυ, the minimum number M required for virtual differential sensing symbols in the time domain is calculated, as shown in the following expression:

[0019]

[0020] As a further optimization scheme of the time-frequency joint design method for the non-uniform syn-sensory two-dimensional frame structure described in this invention,

[0021] The set of true arrangement indexes of non-uniform perceptual symbols Represented as

[0022]

[0023] Where x represents the time-domain index of the virtual arrangement of non-uniform sensing symbols, and y represents the frequency-domain index of the virtual arrangement of non-uniform sensing symbols. Given a set of virtual arrangement indices for non-uniform sensing symbols, Δ T Δ is the temporal reference interval between sensing symbols. F This serves as the frequency domain reference interval between sensing symbols;

[0024] The minimum number K required for non-uniform sensing symbols is expressed as:

[0025] K = 2k F M F N T +k T M T N F -2

[0026] Among them, M T N is a time-domain coprime factor. T For time-domain coprime factors, M must be satisfied. T and N T Coprime numbers, k T For time-domain repetition coefficients, M F N is the frequency domain coprime factor. F For frequency domain coprime factors, M must satisfy... F and N F Coprime numbers, k F is the frequency domain repetition coefficient.

[0027] As a further optimization scheme for the time-frequency joint design method of the non-uniform syn-sensory two-dimensional frame structure described in this invention, based on the maximum distance R within a given observation range... max and maximum speed υ max And, based on the calculated minimum number M of virtual differential sensing symbols required in the time domain and the minimum number N of virtual differential sensing symbols required in the frequency domain, the true arrangement index set of non-uniform sensing symbols is calculated. And the minimum number K required for non-uniform sensing symbols; specifically as follows:

[0028] Definition B T and B FThese represent the time-domain and frequency-domain one-sided degrees of freedom of the non-uniform sensing symbols under the virtual difference arrangement paradigm, respectively; based on the arrangement of the shift-symmetric coprime structure, the time-domain one-sided degree of freedom B of the non-uniform sensing symbols under the virtual difference arrangement paradigm is... T Represented as

[0029] B T =L T +(k T -1)M T N T +M T -1, (3)

[0030] Among them, M T and N T For any coprime pair in the time domain, k T L is the time-domain repetition coefficient. T This represents the initial lateral bias in a shift-symmetric coprime structure.

[0031] Frequency domain one-sided degree of freedom B of non-uniform sensing symbols under the virtual difference arrangement paradigm F Represented as

[0032] B F =L F +(k F -1)M F N F +M F -1, (4)

[0033] Among them, M F and N F For any coprime pair in the frequency domain, k F L is the frequency domain repetition coefficient. F This represents the initial longitudinal bias in a shift-symmetric coprime structure.

[0034] Time-domain repetition coefficient k T The minimum value is expressed as

[0035]

[0036] Frequency domain repetition coefficient k F The minimum value is expressed as

[0037]

[0038] Based on the given time-domain coprime pair M T and N T Time-domain repetition coefficient k T Frequency domain coprime pairs M F and N F and frequency domain repetition coefficient k FObtain the set of virtual arrangement indices for non-uniform sensing symbols; define the set. The set of virtual arrangement indices for non-uniform perceptual symbols is divided into four subsets: top, bottom, left, and right. For a subset of virtual arrangement indexes of non-uniformly perceptual symbols, For a subset of non-uniformly perceptual symbols, a virtual arrangement index is used. The left subset is the virtual arrangement index for non-uniformly perceptual symbols. The right subset is the virtual arrangement index of non-uniformly perceptual symbols;

[0039] Represented as

[0040]

[0041] Where m and l are both integers. for The set of indices of m when l is even. When k T M T It is an odd number. for The set of indices of m when l is odd. When k T M T Let p be an odd number, where p is an integer. and Both are sets.

[0042] Where g is an integer,

[0043] and ∪ denotes rounding down, and ∪ denotes the union of two sets;

[0044] Represented as

[0045]

[0046] in for The set of indices of m when l is even.

[0047] for The set of indices of m when l is odd.

[0048] Represented as

[0049]

[0050] Represented as

[0051]

[0052] Based on the given and Virtual arrangement index set of non-uniform sensing symbols Represented as

[0053]

[0054] Based on the maximum distance R within a given observation range max and maximum speed υ max Find the temporal reference interval Δ between the sensing symbols. T for

[0055]

[0056] Where λ represents the system's carrier wavelength, and T represents the duration of each symbol;

[0057] Frequency domain reference interval Δ between sensing symbols F for

[0058]

[0059] Where c represents the speed of light, and Δf represents the subcarrier spacing of each symbol;

[0060] Define a set For non-uniform sensing symbols, there is a set of real arrangement indexes, and for a given set of non-uniform sensing symbols, there is a set of virtual arrangement indexes. The temporal reference interval Δ between sensing symbols T The frequency domain reference interval Δ between the sensing symbol and the sensing symbol F The set of indexes for the true arrangement of non-uniform perceptual symbols Represented as

[0061]

[0062] Where x represents the time-domain index of the virtual arrangement of non-uniform sensing symbols, and y represents the frequency-domain index of the virtual arrangement of non-uniform sensing symbols.

[0063] Based on the given time-domain coprime pair M T and N T Time-domain repetition coefficient k T Frequency domain coprime pairs M F and N F and frequency domain repetition coefficient k F The minimum number K required for non-uniform sensing symbols is expressed as:

[0064] K = 2kF M F N T +k T M T N F -2. (15).

[0065] As a further optimization of the time-frequency joint design method for a non-uniform syn-inductive two-dimensional frame structure described in this invention, the coprime pair parameters in the time and frequency domains are set to M. T =3, N T =2,M F =2, N F =3.

[0066] As a further optimization scheme of the time-frequency joint design method for a non-uniform sensing two-dimensional frame structure described in this invention, the non-uniform sensing symbol arrangement structure has a time-domain unilateral degree of freedom B under the virtual differential arrangement paradigm. T and frequency domain one-sided degree of freedom B F The minimum number of virtual differential sensing symbols M required in the time domain and the minimum number of virtual differential sensing symbols N required in the frequency domain are respectively greater than or equal to these values.

[0067] Compared with the prior art, the present invention, employing the above technical solution, has the following technical effects:

[0068] (1) By using a shift-symmetric coprime structure to configure the arrangement of sensing symbols, the correlation between sensing symbols is fully utilized to construct virtual differential sensing symbols, which significantly reduces the time-frequency domain overhead of sensing symbols.

[0069] (2) It is suitable for large-scale sensing symbol configuration and has low temporal sensing resource overhead;

[0070] (3) While ensuring the accuracy of sensing performance, the overhead of sensing resources has been significantly reduced, thereby ensuring communication performance. Attached Figure Description

[0071] Figure 1 A flowchart of a time-frequency joint design method for a non-uniform syn-inductive two-dimensional frame structure;

[0072] Figure 2 This is a schematic diagram of the time-frequency joint design of a non-uniform syn-inductive frame structure based on a shift-symmetric coprime structure.

[0073] Figure 3 The diagram shows the perceptual symbol overhead effect obtained from the embodiments and benchmark schemes of the present invention;

[0074] Figure 4 The diagrams show the perception accuracy effect; where (a) is the perception accuracy effect obtained by the embodiment of the present invention, and (b) is the perception accuracy effect obtained by the baseline scheme. Detailed Implementation

[0075] 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.

[0076] Example 1

[0077] See Figure 1 , Figure 2 ,in Figure 2 Taking a minimum number of non-uniform sensing symbols required as 49 and both the time-domain reference interval and the frequency-domain reference interval as an example, the specific implementation method of the present invention includes the following steps:

[0078] Step 1: In a synesthetic system, based on the maximum distance R within a given observation range... max and maximum speed υ max The minimum number of virtual differential sensing symbols M required in the time domain and the minimum number of virtual differential sensing symbols N required in the frequency domain are calculated, along with the distance resolution index ΔR and the velocity resolution index Δυ.

[0079] a1) Based on the maximum distance R within a given observation range max And, based on the distance resolution index ΔR, calculate the minimum number of virtual differential sensing symbols required in the frequency domain.

[0080] a2) Maximum speed υ based on a given speed observation range max And, based on the velocity resolution index Δυ, calculate the minimum number of virtual differential sensing symbols required in the time domain.

[0081] Step 2: Based on the maximum distance R within the given observation range max and maximum speed υ max And, based on the calculated minimum number N of virtual differential sensing symbols required in the frequency domain and the minimum number M of virtual differential sensing symbols required in the time domain, the set of arrangement indices for non-uniform sensing symbols is calculated. And the minimum number K of the required non-uniform sensing symbols.

[0082] b1) Based on the arrangement of the shift-symmetric coprime structure, give the time-domain one-sided degree-of-freedom expression B for the non-uniform sensing symbol under the virtual difference arrangement paradigm. T =L T +(k T -1)M T N T +M T -1 and the frequency domain one-sided degree of freedom expression B F =L F +(k F -1)M F NF +M F -1;

[0083] b2) Obtain the time-domain repetition coefficient based on the minimum number M of virtual differential sensing symbols required in the time domain. The frequency domain repetition coefficient is obtained based on the minimum number N of virtual differential sensing symbols required in the frequency domain.

[0084] b3) Based on the given time-domain coprime pair M T and N T Time-domain repetition coefficient k T Frequency domain coprime pairs M F and N F and frequency domain repetition coefficient k F This yields a set of virtual arrangement indices for non-uniform sensing symbols. The four subsets and

[0085] b4) Four subsets of the virtual arrangement index set based on non-uniform perceptual symbols and Obtain the virtual index set of the virtual arrangement of non-uniform sensing symbols.

[0086] b5) Based on the maximum distance R within a given observation range max and maximum speed υ max Determine the temporal reference interval between the sensing symbols. Frequency domain reference interval between and sensing symbols Where λ represents the carrier wavelength of the integrated sensing system, T represents the duration of each symbol, c represents the speed of light, and Δf represents the subcarrier spacing of each symbol;

[0087] b6) Virtual arrangement index set based on a given non-uniform sensing symbol The temporal reference interval Δ between sensing symbols T The frequency domain reference interval Δ between the sensing symbol and the sensing symbol F Find the true arrangement index set of non-uniform perceptual symbols.

[0088] b7) Based on a given time-domain coprime pair M T and N T Time-domain repetition coefficient k T Frequency domain coprime pairs M F and N F and frequency domain repetition coefficient k F Find the minimum number of non-uniform sensing symbols required, K = 2k. F M F NT +k T M T N F -2.

[0089] The results of the above specific embodiments are as follows: Figure 3 As shown in the figure, the results illustrate the differences in sensing symbol overhead between the time-frequency joint design scheme of the non-uniform synesthetic frame structure based on the shifted symmetric coprime structure and the time-frequency joint design scheme of the nested non-uniform synesthetic frame structure. The nested non-uniform synesthetic frame structure time-frequency joint design scheme refers to the non-uniform synesthetic frame structure time-frequency joint design scheme proposed in Ding Shengli, Li Jianzhi, Jiang Dajie, Chen Baolong, Yao Jian, Qin Fei. Design of Non-uniform Sensing Signal 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 symbols is the same, the sensing symbol overhead of the present invention is lower than that of the existing scheme. Figure 4 The performance differences in perception error between the proposed time-frequency joint design scheme of non-uniform synesthetic frame structure based on shift-symmetric coprime structure and the traditional nested structure non-uniform synesthetic frame structure time-frequency joint design scheme are demonstrated. Figure 4 (a) in the figure is the perception accuracy effect obtained by the embodiment of the present invention. Figure 4 (b) in the diagram shows the perception accuracy achieved by the baseline scheme. This example demonstrates that the present invention outperforms existing schemes in terms of perception accuracy. The non-uniform sensory frame structure designed in this invention, which boasts low time-domain and frequency-domain perception resource overhead and high perception accuracy, is of significant research importance.

[0090] Table 1 provides examples of the virtual arrangement index of non-uniform sensing symbols in the time-frequency joint design scheme of non-uniform synesthetic frame structure based on the required number of virtual differential sensing symbols NM; Table 2 provides examples of the actual arrangement index of non-uniform sensing symbols in the time-frequency joint design scheme of non-uniform synesthetic frame structure based on the required number of virtual differential sensing symbols NM.

[0091]

[0092] Table 1

[0093]

[0094]

[0095]

[0096]

[0097] Table 2

[0098] 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 time-frequency joint design method for a non-uniform synesthetic two-dimensional frame structure, characterized in that, include: The minimum number of virtual differential sensing symbols required in the time domain and frequency domain are calculated based on the required sensing performance indicators of the synesthetic frame structure. Based on the minimum number of virtual differential sensing symbols required in the time and frequency domains, the true arrangement index set of non-uniform sensing symbols and the minimum number of non-uniform sensing symbols required are calculated. Based on the maximum distance R within a given observation range max and maximum speed v max The minimum number of virtual differential sensing symbols M required in the time domain and the minimum number of virtual differential sensing symbols N required in the frequency domain are calculated using the distance resolution index ΔR and the velocity resolution index Δv, respectively. Based on the maximum distance R within a given observation range max and maximum speed v max And, based on the calculated minimum number M of virtual differential sensing symbols required in the time domain and the minimum number N of virtual differential sensing symbols required in the frequency domain, the true arrangement index set of non-uniform sensing symbols is calculated. And the minimum number K of the required non-uniform sensing symbols; Based on the maximum distance R within a given observation range max and maximum speed v max And, based on the distance resolution index ΔR and the velocity resolution index Δv, the minimum number M of virtual differential sensing symbols required in the time domain and the minimum number N of virtual differential sensing symbols required in the frequency domain are calculated respectively, as follows: Based on the maximum distance R within a given observation range max Given the distance resolution index ΔR, the minimum number N required for virtual differential sensing symbols in the frequency domain is calculated as follows: in, This represents the floor function operator; Based on the maximum velocity v within a given observation range max Given the velocity resolution index Δv, the minimum number M required for virtual differential sensing symbols in the time domain is calculated, as shown in the following expression: Based on the maximum distance R within a given observation range max and maximum speed v max And, based on the calculated minimum number M of virtual differential sensing symbols required in the time domain and the minimum number N of virtual differential sensing symbols required in the frequency domain, the true arrangement index set of non-uniform sensing symbols is calculated. And the minimum number K required for non-uniform sensing symbols; specifically as follows: Definition B T and B F These represent the time-domain and frequency-domain one-sided degrees of freedom of the non-uniform sensing symbols under the virtual differential arrangement paradigm, respectively; based on the arrangement of the shift-symmetric coprime structure, the time-domain one-sided degree of freedom B of the non-uniform sensing symbols under the virtual differential arrangement paradigm is... T Represented as B T =L T +(k T -1)M T N T +M T -1, Among them, M T and N T For any coprime pair in the time domain, k T L is the time-domain repetition coefficient. T This represents the initial lateral bias in a shift-symmetric coprime structure. Frequency domain one-sided degree of freedom B of non-uniform sensing symbols under the virtual difference arrangement paradigm F Represented as B F =L F +(k F -1)M F N F +M F -1, Among them, M F and N F For any coprime pair in the frequency domain, k F L is the frequency domain repetition coefficient. F This represents the initial longitudinal bias in a shift-symmetric coprime structure. Time-domain repetition coefficient k T The minimum value is expressed as Frequency domain repetition coefficient k F The minimum value is expressed as Based on the given time-domain coprime pair M T and N T Time-domain repetition coefficient k T Frequency domain coprime pairs M F and N F and frequency domain repetition coefficient k F Obtain the set of virtual arrangement indices for non-uniform sensing symbols; define the set. The set of virtual arrangement indices for non-uniform perceptual symbols is divided into four subsets: top, bottom, left, and right. For a subset of virtual arrangement indexes of non-uniformly perceptual symbols, For a subset of non-uniformly perceptual symbols, a virtual arrangement index is used. The left subset is the virtual arrangement index for non-uniformly perceptual symbols. The right subset is the virtual arrangement index of non-uniformly perceptual symbols; Represented as Where m and l are both integers. for The set of indices of m when l is even. for The set of indices of m when l is odd. p is an integer. and Both are sets. Where g is an integer, and ∪ denotes rounding down, and ∪ denotes the union of two sets; Represented as in for The set of indices of m when l is even. for The set of indices of m when l is odd. Represented as Represented as Based on the given and Virtual arrangement index set of non-uniform sensing symbols Represented as Based on the maximum distance R within a given observation range max and maximum speed v max Find the temporal reference interval Δ between the sensing symbols. T for Where λ represents the system's carrier wavelength, and T represents the duration of each symbol; Frequency domain reference interval Δ between sensing symbols F for Where c represents the speed of light, and Δf represents the subcarrier spacing of each symbol; Define a set For non-uniform sensing symbols, there is a set of real arrangement indexes, and for a given set of non-uniform sensing symbols, there is a set of virtual arrangement indexes. The temporal reference interval Δ between sensing symbols T The frequency domain reference interval Δ between the sensing symbol and the sensing symbol F The set of indexes for the true arrangement of non-uniform perceptual symbols Represented as Where x represents the time-domain index of the virtual arrangement of non-uniform sensing symbols, and y represents the frequency-domain index of the virtual arrangement of non-uniform sensing symbols. Based on the given time-domain coprime pair M T and N T Time-domain repetition coefficient k T Frequency domain coprime pairs M F and N F and frequency domain repetition coefficient k F The minimum number K required for non-uniform sensing symbols is expressed as: K=2k F M F N T +k T M T N F -2。 2. The time-frequency joint design method for a non-uniform synesthetic two-dimensional frame structure according to claim 1, characterized in that, A shift-symmetric coprime structure is used to configure the arrangement of sensing symbols, and virtual differential sensing symbols are constructed by utilizing the correlation between sensing symbols.

3. The time-frequency joint design method for a non-uniform synesthetic two-dimensional frame structure according to claim 1, characterized in that, Set the coprime pair parameters in the time and frequency domains to M. T =3,N T =2,M F =2,N F =3.

4. The time-frequency joint design method for a non-uniform synesthetic two-dimensional frame structure according to claim 1, characterized in that, The time-domain one-sided degrees of freedom BT and frequency-domain one-sided degrees of freedom B of the non-uniform sensing symbol arrangement structure under the virtual difference arrangement paradigm F The minimum number of virtual differential sensing symbols M required in the time domain and the minimum number of virtual differential sensing symbols N required in the frequency domain are respectively greater than or equal to these values.

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