Estimating number of group targets arranged in linear array via forward‐backward matrix pencil method

Abstract

An efficient number estimation method is proposed for target detection by using the forward-backward matrix pencil method. Compared with the traditional parameter estimation methods, the proposed method can work well even for sparse signals. At first, the radar cross section of the group targets arranged in linear array is obtained at some certain angles or frequencies. Then, the Hankel-Toeplitz matrix is constructed from the known radar echoes, and the singular value decomposition is performed on this matrix. Finally, the number of the group targets arranged in linear array can be accurately estimated by setting an appropriate threshold to select the singular value with a large proportion. In addition, the influence of different signal-to-noise ratios (SNR) on the estimation results is also discussed. In order to enhance the accuracy, several groups of different echoes are used to estimate the number of group targets jointly. The simulation results demonstrate that the proposed method is effective and accurate in estimating the number of group targets arranged in linear array. Moreover, the estimation result of the proposed method in this paper is not affected by the noise, which shows that this method has better robustness.

An ASC‐Based Unitary Matrix Pencil Method for Parameter Estimation of Group Target

“…The proposed method in this paper has a wider application range compared with other matrix pencil methods, such as forward‐backward matrix pencil method (FBMPM). FBMPM is only applicable to the targets arranged in linear array (Sun et al., 2022). The method in this paper is suitable for arbitrarily arranged targets in space.…”

“…The signal separation technology is based on the mixing matrix to get the target echo (Yang et al., 2019), which does not contain phase information but only amplitude information. The proposed method in this paper has a wider application range compared with other matrix pencil methods, such as forward‐backward matrix pencil method (FBMPM). FBMPM is only applicable to the targets arranged in linear array (Sun et al., 2022). The method in this paper is suitable for arbitrarily arranged targets in space. The proposed method in this paper has fewer restrictions on group targets compared with the classical source number estimation method.…”