Weighted subspace data fusion direct positioning method based on augmented co-prime array

Abstract

The invention discloses a weighted subspace data fusion direct positioning method based on an augmented co-prime array, and the method specifically comprises the following steps: Z01, obtaining radiation source signals of an unmanned plane at different position observation stations, and carrying out the sampling processing of the signals; z02, calculating a covariance matrix according to the array output signal obtained after sampling processing, and obtaining a characteristic value according to the covariance matrix; z03, obtaining a noise subspace according to the covariance matrix, and enabling the position of each observation point to obtain an optimal weight through the minimum total projection error at the observation points; and Z04, obtaining a loss function of a positioning algorithm according to mutual orthogonality of the signal manifold vector and the noise subspace, and obtaining an estimation result of the position of the radiation source through a search formula. According to the method, an orthogonal projection error is balanced, a loss function with small error and high robustness is obtained, and the positioning precision is improved; and compared with a uniform array algorithm, the degree of freedom is obviously improved, the spatial degree of freedom of the array is expanded, and the number of identification sources is increased.

Description

technical field

[0001] The invention relates to the technical field of UAV radiation source positioning, in particular to a weighted subspace data fusion direct positioning method based on an augmented coprime array. Background technique

[0002] In the process of controlling the flight of the UAV, the frequency of the UAV is often interfered by frequencies or signals from other locations, making the UAV unable to fly normally; therefore, it is necessary to accurately locate the location of the frequency of the interference UAV ;

[0003] When locating the signal, there are many ways to locate the frequency position. You can use the uniform array algorithm and use the two-step positioning algorithm to locate the signal source. There are too many intermediate processing steps, which need to be processed during the calculation. Multiple parameter values ​​are processed, the estimation accuracy is low, and the positioning accuracy cannot be significantly improved, so the augme...

Examples

Embodiment 1

[0099] Embodiment 1: in this test, specifically see image 3 with Figure 4 , the OW-SDF method is used here to estimate the position of the radiation source, and the obtained position is more accurate than that estimated by the SW-SDF method. It can be judged that the method using OW-SDF is compared with the method using SW-SDF It is more effective, and it can be analyzed that using OW-SDF to locate the position of the radiation source is more accurate.

Embodiment 2

[0100] Example 2: In this simulation experiment diagram, see for details Figure 5 with Image 6 , the abscissa is the signal-to-noise ratio, and the ordinate is the root mean square error (RMSE) and error to analyze the estimated performance of the algorithm, according to Image 6 It can be seen that the optimal weighted SDF of the uniform array, the SNR weighted SDF of the uniform array, and the SNR weighted SDF of the augmented coprime array have larger errors than the optimal weighted SDF of the augmented coprime array, and their effects have not increased. The effect of the optimal weighted SDF of wide mutual prime matrix is ​​good; according to Figure 5 It can be seen that the optimal weighted SDF of augmented coprime array is better than augmented coprime array SDF, augmented coprime array PM and augmented coprime array SNR weighted SDF.

technical field

[0001] The invention relates to the technical field of UAV radiation source positioning, in particular to a weighted subspace data fusion direct positioning method based on an augmented coprime array. Background technique

[0002] In the process of controlling the flight of the UAV, the frequency of the UAV is often interfered by frequencies or signals from other locations, making the UAV unable to fly normally; therefore, it is necessary to accurately locate the location of the frequency of the interference UAV ;

[0003] When locating the signal, there are many ways to locate the frequency position. You can use the uniform array algorithm and use the two-step positioning algorithm to locate the signal source. There are too many intermediate processing steps, which need to be processed during the calculation. Multiple parameter values ​​are processed, the estimation accuracy is low, and the positioning accuracy cannot be significantly improved, so the augme...

Examples

Embodiment 1

[0099] Embodiment 1: in this test, specifically see image 3 with Figure 4 , the OW-SDF method is used here to estimate the position of the radiation source, and the obtained position is more accurate than that estimated by the SW-SDF method. It can be judged that the method using OW-SDF is compared with the method using SW-SDF It is more effective, and it can be analyzed that using OW-SDF to locate the position of the radiation source is more accurate.

Embodiment 2

[0100] Example 2: In this simulation experiment diagram, see for details Figure 5 with Image 6 , the abscissa is the signal-to-noise ratio, and the ordinate is the root mean square error (RMSE) and error to analyze the estimated performance of the algorithm, according to Image 6 It can be seen that the optimal weighted SDF of the uniform array, the SNR weighted SDF of the uniform array, and the SNR weighted SDF of the augmented coprime array have larger errors than the optimal weighted SDF of the augmented coprime array, and their effects have not increased. The effect of the optimal weighted SDF of wide mutual prime matrix is ​​good; according to Figure 5 It can be seen that the optimal weighted SDF of augmented coprime array is better than augmented coprime array SDF, augmented coprime array PM and augmented coprime array SNR weighted SDF.

Images