Co-prime array direction-of-arrival estimation method based on singular value decomposition of multiple sampling virtual signals

Abstract

The invention discloses a co-prime array direction-of-arrival estimation method based on singular value decomposition of multiple sampling virtual signals, which mainly solves a problem of difficult solving caused by information loss existing in the process of virtual domain statistical signal processing and the non-uniformity of an equivalent virtual array in the prior art. Implementation of theco-prime array direction-of-arrival estimation method comprises the steps of structuring a receiving terminal antenna according to a co-prime array structure; receiving an incident signal by using theco-prime array and modeling; constructing multiple sampling virtual signals; performing dimension reduction processing on the multiple sampling virtual signals through singular value decomposition; designing a convex optimization problem based on a joint constraint of an L1-norm and an L2-norm of the multiple sampling virtual signals, and solving the convex optimization problem; and obtaining a direction-of-arrival estimation result through spectrum peak searching. The co-prime array direction-of-arrival estimation method sufficiently utilizes all information of the received signal of the co-prime array, overcomes the problem of difficult solving caused by the non-uniformity of the equivalent virtual array, improves the degree of freedom of direction-of-arrival estimation and can be applied to passive positioning and target detection.

Description

Technical field [0001] The present invention belongs to the technical field of signal processing, and particularly relates to the estimation of the direction of arrival of radar signals, acoustic signals and electromagnetic signals. Specifically, it is a method for estimating the direction of arrival of a coprime array based on the singular value decomposition of multi-sampling virtual signals. Source location and target 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 spatial signals and process the received signals through statistical signal processing techniques and various optimization methods. To recover the DOA information contained in the signal, it has a wide range of applications in the fields of radar, sonar, voice, and wireless communication. [0003] The degree of freedom of the DOA estimation method refers to the number of inc...

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Problems solved by technology

However, because the derived virtual array is a non-uniform array, it leads to the problem of difficult statistical signal processing; the existing DOA estimation methods for coprime arrays based on statistical signal processing in the virtual domain usually only use the continuous Statistical signal processing is performed on a virtual uniform linear sub-array composed of a segment of virtual array elements, which leads to the loss of information in the signal received by the coprime array

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