A Variable Threshold Parameter Andrew’s Sine Estimator for DOA Estimation Under Impulsive Noise

Abstract

An adaptive direction of arrival (DOA) estimation method based on Andrew’s sine estimator (ASE) with a variable threshold parameter is proposed for impulsive noise environments. Using the symmetric alpha-stable (S $\alpha $ S) distribution to model impulsive noise and based on M-estimation theory, it is found that the derivative of the ASE function with different threshold parameters can fit the score function of the S $\alpha $ S distribution process. With the threshold design of the ASE function, the applicability of ASE in impulsive noise environments is analyzed mathematically, justifying the use of ASE for DOA estimation in impulsive noise environments. To enhance the adaptive filtering performance of traditional ASE and improve the algorithm’s DOA estimation accuracy in varying generalized signal-to-noise ratio (GSNR) environments, a variable threshold parameter ASE with a corresponding adaptive variable step size (VSS) is developed, forming a VSS and threshold parameter ASE adaptive DOA estimation method. The convergence of the weight coefficient vector, mean square error (mse) convergence, and computational complexity of the designed DOA estimation method are analyzed. The experimental results verified the performance advantages of the proposed method compared to traditional adaptive DOA estimation methods.