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CN-121434561-B - Method and system for detecting information source number based on non-circular signal

CN121434561BCN 121434561 BCN121434561 BCN 121434561BCN-121434561-B

Abstract

The invention relates to the technical field of wireless communication and discloses a method and a system for detecting information source number based on non-circular signals. The method comprises the steps of calculating a compensation sample covariance matrix of a received signal, obtaining a sample typical correlation coefficient through Takagi decomposition of the compensation sample covariance matrix, constructing a marginal likelihood function of a parent typical correlation coefficient, taking the sample typical correlation coefficient as an estimated value of a corresponding parent, establishing estimated statistic by using a minimum description length criterion, obtaining the number of the parent typical correlation coefficient when the estimated statistic is minimized, and taking the number as an estimated value of the actual number of non-circular signals. The invention fully utilizes the characteristic that the non-circular signal compensation covariance is not 0, adopts the marginal likelihood function with the least redundancy parameters to construct statistics, can realize the high-precision estimation of the number of the non-circular signals, and provides necessary guarantee for practical application scenes such as the estimation of the direction of arrival, the formation of wave velocity and the like.

Inventors

  • Lai huadong
  • GUAN ZHAOXIONG
  • LIU MINGXIN

Assignees

  • 广东海洋大学

Dates

Publication Date
20260512
Application Date
20251231

Claims (6)

  1. 1. The method for detecting the number of the sources based on the non-circular signal is characterized by comprising the following steps: Calculating a compensation sample covariance matrix of the received signal, and obtaining a sample typical correlation coefficient through Takagi decomposition of the compensation sample covariance matrix; constructing a marginal likelihood function of a matrix typical correlation coefficient; taking the sample typical correlation coefficient as an estimated value of a corresponding parent body, and establishing estimated statistics by using a minimum description length criterion; Acquiring the number of the matrix typical correlation coefficients when the estimated statistic is minimized, and taking the number as an estimated value of the actual number of the non-circular signals; The marginal likelihood function for constructing the matrix typical correlation coefficient is as follows: ; ; Wherein, the As a marginal likelihood function of the parent representative correlation coefficient, For the number of hypothesized non-circular signals, Is the first The individual parent coefficients of the correlation are typically chosen, Is the first The correlation coefficient is typically a function of the individual samples, , ; As a function of the multiple gamma-ray functions, As a function of the gamma-ray, In order to receive the number of antennas, Is the sample length; The sample typical correlation coefficient is used as an estimated value of a corresponding parent body, and the estimated statistic is established by using a minimum description length criterion: ; Wherein, the Is an estimated statistic based on a minimum descriptive length criterion; The number of the matrix typical correlation coefficients when the obtained estimated statistic is minimized is taken as an estimated value of the actual number of the non-circular signals, and the estimated value is as follows: ; Wherein, the Is an estimate of the actual number of non-circular signals.
  2. 2. The method according to claim 1, wherein the received signal is specifically: ; Wherein, the Representation of A non-circular signal is used to determine the non-circular signal, Representing the channel gain matrix and, Representing the noise vector and the noise vector is represented, Is the number of non-circular signals, Representing the complex domain.
  3. 3. The method of claim 1, wherein the calculating a compensated sample covariance matrix of the received signal is: ; Wherein, the In order to receive the matrix of signals, To compensate for the sample covariance matrix, superscript Representing the transposed symbol.
  4. 4. The method of claim 1, wherein the typical correlation coefficients of the samples obtained by Takagi decomposition of the compensated sample covariance matrix are: ; ; Wherein, the In order to compensate for the sample covariance matrix, For the unitary matrix of the complex, For a sample representative correlation coefficient matrix, Representing diagonal matrix, superscript Representing the transposed symbol.
  5. 5. A source number detection system based on non-circular signals, comprising: At least one processor; at least one memory for storing at least one program; the at least one program, when executed by the at least one processor, causes the at least one processor to implement the method of any one of claims 1 to 4.
  6. 6. A computer readable storage medium storing a computer program, characterized in that the computer program, when executed by a processor, implements the method of any one of claims 1 to 4.

Description

Method and system for detecting information source number based on non-circular signal Technical Field The invention relates to the technical field of wireless communication, in particular to a method and a system for detecting information source number based on non-circular signals. Background The information source number estimation is an important research direction in the array signal processing fields of radar, communication, sonar and the like, and is a precondition for realizing super-resolution spatial spectrum estimation technologies such as a multi-signal classification method, a rotation subspace invariant method and the like. The conventional source number estimation method is based on a round signal, i.e. the estimation algorithm only uses the standard covariance matrix of the received signal. However, the source signal of an actual scene typically exhibits a non-circular characteristic with a compensating covariance other than 0, resulting in limited performance of existing algorithms. For this purpose, researchers have proposed a non-circular signal number estimation method (NC-MDL) based on the minimum description length by utilizing the feature of non-zero compensation covariance. However, the estimation performance of this method is still to be further improved. Disclosure of Invention In order to solve the problems, the invention provides a method and a system for detecting the number of information sources based on non-circular signals, which aim to improve the accuracy of non-circular signal number estimation, in particular to performance under complex scenes such as low signal-to-noise ratio, fewer snapshots and the like. In order to achieve the above object, the present invention provides the following technical solutions: in one aspect, an embodiment of the present invention provides a method for detecting a number of sources based on a non-circular signal, where the method includes the following steps: Calculating a compensation sample covariance matrix of the received signal, and obtaining a sample typical correlation coefficient through Takagi decomposition of the compensation sample covariance matrix; constructing a marginal likelihood function of a matrix typical correlation coefficient; taking the sample typical correlation coefficient as an estimated value of a corresponding parent body, and establishing estimated statistics by using a minimum description length criterion; The number of the matrix typical correlation coefficients when the estimated statistic is minimized is obtained and is used as an estimated value of the actual number of the non-circular signals. Optionally, the received signal is specifically: ; Wherein, the Representation ofA non-circular signal is used to determine the non-circular signal,Representing the channel gain matrix and,Representing the noise vector and the noise vector is represented,In order to receive the number of antennas,For the length of the signal,Is the number of non-circular signals,Representing the complex domain. Optionally, the calculating the compensated sample covariance matrix of the received signal is: ; Wherein, the In order to receive the matrix of signals,To compensate for the sample covariance matrix, superscriptRepresenting the transposed symbol,In order to receive the number of antennas,Is the sample length. Optionally, the typical correlation coefficient of the sample obtained by Takagi decomposition of the compensated sample covariance matrix is: ; ; Wherein, the In order to compensate for the sample covariance matrix,For the unitary matrix of the complex,For a sample representative correlation coefficient matrix,Is the firstThe correlation coefficient is typically a function of the individual samples,Representing diagonal matrix, superscriptRepresenting the transposed symbol,For the number of receive antennas. Optionally, the marginal likelihood function of the matrix typical correlation coefficient is constructed as follows: ; ; Wherein, the As a marginal likelihood function of the parent representative correlation coefficient,For the number of hypothesized non-circular signals,Is the firstThe individual parent coefficients of the correlation are typically chosen,Is the firstThe correlation coefficient is typically a function of the individual samples,As a function of the multiple gamma-ray functions,As a function of the gamma-ray,In order to receive the number of antennas,Is the sample length. Optionally, the sample typical correlation coefficient is used as an estimated value of the corresponding parent, and the estimated statistic is established by using a minimum description length criterion: ; Wherein, the For an estimated statistic based on the minimum descriptive length criterion,For the number of hypothesized non-circular signals,Is the firstThe correlation coefficient is typically a function of the individual samples,As a function of the gamma-ray,In order to receive the number of antennas,Is the sample le