Taylor expansion-based augmented co-prime array rapid DOA estimation method

Abstract

The invention discloses a Taylor expansion-based augmented co-prime array rapid DOA estimation method, which is characterized in that DFT spectrum coarse estimation and Taylor expansion fine estimation are combined to process virtualized signals so as to achieve rapid DOA estimation. The method comprises the following steps: sampling a received signal through an augmented co-prime array, calculating a covariance matrix of the received signal, and carrying out vectorization operation and redundancy elimination operation on the covariance matrix to obtain a received signal of a virtualized uniform array; carrying out DOA coarse estimation through a DFT spectrum search method; and finally carrying out accurate DOA estimation through a Taylor expansion method. The method has the advantages that a complex phase search process in a traditional DFT method fine estimation process can be effectively avoided, a DFT coarse estimation result is directly substituted into a Taylor expansion to solve high-precision DOA estimation, and the calculation cost is lower; and when the array size is large, DOA estimation with higher precision than that of a traditional DFT method can be obtained, and the method has important practical value.

Description

technical field [0001] The invention relates to the technical field of array signal processing, in particular to a fast DOA estimation method for an augmented coprime array based on Taylor expansion. Background technique [0002] Due to the advantages of strong anti-interference ability, high signal gain, and strong direction resolution, array signal processing has developed rapidly in the past two decades, and has been widely used in many fields such as radar, communication, satellite navigation, and sonar. Array signal processing mainly studies adaptive beamforming and high-resolution direction of arrival (DOA). Traditional DOA estimation methods, such as MUSIC method and ESPRIT algorithm, etc., when the array size is relatively large, the algorithm complexity is relatively high, and if it is directly applied in a sparse array, it will fail because the array element spacing is greater than half the wavelength of the incident signal. [0003] The augmented coprime array is...

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Problems solved by technology

[0005] The purpose of the present invention is to address the deficiencies in the prior art, to provide a fast DOA estimation method based on Taylor expansion augmented coprime arrays, to solve the problem of high complexity and low precision in the fine estimation process of the traditional DFT algorithm, and to use DFT The rough estimation result is substituted into the Taylor expansion, and the error is solved by the total least square method, so as to obtain an accurate DOA estimation, thereby obtaining a more accurate DOA estimation with less complexity, which has important engineering value

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