Coherent l₁‐SVD method for DOA estimation of wideband signals

Abstract

The l 1 -SVD is an efficient method for spatial sparsity based direction of arrival (DOA) estimation of narrowband signals. We propose a coherent strategy for extension of the l 1 -SVD method to wideband signals. In this method, focusing matrices are used for transferring different frequency bins data to the reference bin, and then the transformed data are combined. Finally the l 1 -SVD is applied for the combined data. The proposed method outperforms the non-coherent strategy with a lower computational burden.

Unitary coherent strategy for spatial sparsity‐based DOA estimation of wideband signals

“…We can apply the non-unitary focusing matrix T (f b , θ) obtained from (5) to transfer the data of the bth bin to the reference bin. The main disadvantage of such a method is that it may decrease the SER.…”

“…A coherent‐strategy‐based method is introduced in [4], which is only applicable to the signals with flat spectra. Also, we have proposed the coherent l 1 ‐SVD method [5], which suffers from high computational complexity due to extra estimated variables and low signal‐to‐error ratio (SER). We refer to this as the non‐unitary coherent (NUC) strategy.…”

A comprehensive survey on MIMO arrays: IEEJ TEE perspective

“…Reference proposed a new spatial sparse ‐oriented algorithm for wide‐band signals with the goal of finding the parameter DoA. In Ref.…”

Direction of arrival estimation based on slope fitting of wideband array signal in fractional Fourier transform domain

“…Based on the FMUSIC algorithm, Li and Wang [18] recover sparse vector and spatial spectrum by using focal underdetermined system solver with $${l}_{p}$$ norm minimisation. What is more, $${l}_{1}$$ norm‐based singular value decomposition ($${l}_{1}$$‐SVD) [19], orthogonal matching pursuit [20] or sparse Bayesian learning [21] algorithm can also be used to reconstruct the spatial spectrum of signals. These methods can also distinguish coherent sources in low SNR or a small number of snapshots, or multipath environments.…”