A Direction of Arrival Estimation Method for Coprime Array with Increased Degrees of Freedom Based on Compressive Sensing

Abstract

The invention discloses a co-prime array DOA (direction of arrival) estimation method of an arrival freedom degree increase type based on compressed sensing, and mainly solves problems in the prior art that the freedom degree is limited and the calculation complexity is high. The method comprises the implementation steps: configuring a receiving end antenna according to a co-prime array structure; receiving an incident signal through a co-prime array; constructing a compressed sensing kernel; achieving the compression of the received signal through the compressed sensing, and obtaining a contour signal of the received signal of the co-prime array; calculating the covariance matrix of the contour signal after compressing; calculating an equivalent virtual signal corresponding to the contour signal; constructing a virtual domain sparse signal reconstruction optimization problem according to the equivalent virtual signal deduced from the contour signal, and solving the virtual domain sparse signal reconstruction optimization problem; and obtaining a DOA estimation result through spectrum peak searching. The method makes the most of the advantage that the co-prime array can improve the freedom degree, and the compressed sensing technology. The method achieves the increase of the freedom degree of a DOA estimation method while reducing the calculation complexity, and can be used for passive positioning and target detection.

Description

technical field [0001] The invention belongs to the technical field of signal processing, and in particular relates to the estimation of the direction of arrival of radar signals, acoustic signals and electromagnetic signals, and specifically relates to a direction of arrival estimation method with increased degrees of freedom based on compressive sensing of coprime array received signals, which can be used for Passive localization and object detection. Background technique [0002] Direction-of-Arrival (DOA) estimation is an important branch in the field of array signal processing. It refers to the use of array antennas to receive airspace signals, and to realize the statistics of received signals through modern signal processing techniques and various optimization methods. Effective processing to realize signal DOA estimation has important application value in radar, sonar, voice, wireless communication and other fields. [0003] The degree of freedom of the DOA estimatio...

AI Technical Summary

Problems solved by technology

However, the existing DOA estimation method based on the equivalent virtual signal has a high computational complexity. In practical applications, we hope to improve the degree of freedom with a lower computational complexity.

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