DOA Estimation of LFM Signal Based on Single-Source Time-Frequency Points Selection Algorithm by Using the Hough Transform

Abstract

Direction of arrival (DOA) estimation performance may degrade substantially when linear frequency modulation (LFM) signals are spectrally-overlapped in time-frequency (TF) domain. In order to solve this problem, the single-source TF points selection algorithm based on Wigner-Ville distribution (WVD) and Hough transform is studied in this paper. Firstly, the signal intersections in TF domain can be solved based on the Hough transform. Secondly, by removing multiple-source TF points at intersections according to the empirical threshold value which is calculated by using the statistical experiment method, we can get single-source TF points set. Then, based on the Euclidean distance operator, single-source TF points set belonging to each signal can be obtained according to the property that TF points of the same signal have the same eigenvector. Finally, the averaged spatial TF distribution matrix is constructed and DOA estimation is realized based on the multiple signal classification (MUSIC) algorithm. In this way, the proposed algorithm can resolve the TF non-disjoint LFM signals because it can automatically select single-source TF points set of each signal. Simulation results illustrate that the proposed algorithm possesses higher angular resolution and has pretty good DOA estimation precision compared with existing algorithms.

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“…Similarly, the time-frequency representation (TFR) [12] is commonly employed as the primary method for analyzing nonstationary signals, to extract target information [13,14,15]. Currently, there are various approaches to obtain TFR, Shuyi Gu, Zhenghua Luo, and Lin Hu (hulin@5ritt.com) are with the Fifth Institute of Telecommunication Science and Technology, Chengdu 610036, China and Sichuan Time Frequency Synchronization System and Application Engineering Technology Research Center, Chengdu 610062, China.…”