Co-prime array beam forming method and system based on low tube rank tensor decomposition, and medium

Abstract

The invention discloses a co-prime array beam forming method and system based on low tube rank tensor decomposition and a medium, and the method comprises the steps: 1, building a far-field narrowband incoherent signal model under a co-prime array, carrying out the initialization interpolation of a virtual array element signal, and rearranging the virtual array element signal into a multi-snapshot virtual array element signal matrix; 2, based on the low-tube-rank characteristic, the initialization tensor is complemented; 3, decomposing the complemented tensor to obtain three factor matrixes; 4, solving and matching the target angle and power by using the corresponding relation between each factor matrix and each forward slice of the complemented tensor; and 5, calculating a beam forming weight vector by using the parameter estimation value in the step 4. According to the technical scheme, the noise robustness of parameter estimation can be improved by using the multi-dimensional structure of the tensor; the calculation amount can be obviously reduced by using the alternating direction multiplier method and the rapid convergence of tensor decomposition; and the target direction is obtained through parameter inversion and is less influenced by a prior error.

Description

technical field [0001] The present invention relates to the field of array signal processing, in particular to a coprime array beamforming method, system and medium based on low-rank tensor decomposition. Background technique [0002] Adaptive beamforming is one of the core technologies in the field of array signal processing. It is widely used in radar, sonar and wireless communication because it can suppress interference signals and background noise from different directions while maintaining the target signal. field. The performance of adaptive beamforming generally improves as the array's degrees of freedom and aperture increase. For a uniform linear array, the degree of freedom and aperture are linearly related to the number of array elements, so the increase in the degree of freedom and aperture of the array is often accompanied by an increase in system complexity and an increase in hardware cost. The coprime array is a non-uniform sparse array designed according to ...

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Problems solved by technology

However, the algorithm uses the first-order approximation to iteratively correct the target angle, which has a large amount of calculation and a small angle error tolerance

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