Doa Estimation Method Based on Sparse Bayesian Unknown Mutual Coupling in Nested Arrays

Abstract

The invention discloses a DOA estimation method based on sparse Bayesian unknown mutual coupling under a nested array, which belongs to the DOA technology in the field of adaptive array signal processing. Based on the particularity of the non-uniform structure of the array, the invention increases the degree of freedom of the signal by converting the received data in the case of mutual coupling in the physical array to the virtual array when the mutual coupling matrix between the array elements is unknown ; Then set a new steering matrix through the relationship between the mutual coupling matrix and the steering matrix; then use the method based on sparse Bayesian to estimate the mean and variance of the posterior distribution of the signal power; finally solve the mean value of the second norm of the signal power To estimate the DOA of the signal. The present invention reduces the complexity of the dictionary matrix of the array, makes the estimated DOA more accurate, and also fully utilizes the advantage of the high degree of freedom of the nested array, so that the number of estimated signals exceeds the aperture of the physical array; and the present invention There is no need to eliminate the presence of mutual coupling matrices for signals.

Description

technical field [0001] The invention relates to a direction-of-arrival (DOA, direction-of-arrival) technology in the field of adaptive array signal processing, in particular to a method for estimating DOA under the condition of nested array receiving signals with unknown mutual coupling. Background technique [0002] Array signal processing has very important applications in radar, sonar, and communication fields. In recent years, in the case of a limited number of arrays, high degree of freedom and high direction finding accuracy have attracted the attention of many researchers. However, for a uniform array, the degree of freedom of the array is very low, and the number of direction-finding signals is limited by the number of physical arrays. In 2010, Piya Pal and P.P.Vaidyanathan et al. proposed a sparse array structure. The method is to obtain a virtual uniform array structure after vectorization processing of the correlation matrix of the received data, thereby greatly ...

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Problems solved by technology

[0015] The purpose of the present invention is: for the existing nested array DOA method cannot solve the situation that the number of signals exceeds the array aperture and there is mutual coupling between the array elements, the present invention discloses a DOA estimation when there is unknown mutual coupling in the received data method

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