Block Sparsity-Based DOA Estimation with Sensor Gain and Phase Uncertainties
Huiping Huang, Michael Fauß, Abdelhak M. Zoubir · 2019
This paper investigates the problem of direction-of-70arrival (DOA) estimation in the presence of unknown sensor gain and phase uncertainties. A novel method based on a block sparse representation is proposed to estimate the directions of sources. The data model is constructed under the framework of block sparse signal representation. Then, a convex problem is formulated to find the directions of the incident signals, and the problem can be solved using the L1-SVD algorithm. Unlike the existing eigenstructure-based methods and other sparsity-based methods which require appropriate initial values of the unknown sensor gain and phase errors for iterating between unknown sensor errors and angles of sources, the proposed block sparsity-based DOA estimation technique does not need any prior knowledge about the array errors. Numerical simulations exhibit the effectiveness and superiority of the proposed method.