DOA estimation with double L-shaped array based on Hadamard product and joint diagonalization in the presence of sensor gain-phase errors

• Published in: Multidimensional systems and signal processing Vol. 30; no. 1; pp. 465 - 491
• Main Authors: Hu, Weiwei, Xu, Guozheng
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.01.2019; Springer Nature B.V
• Subjects: Artificial Intelligence; Circuits and Systems; Covariance matrix; Direction of arrival; Electrical Engineering; Engineering; Invariants; Rotation; Sensor arrays; Signal,Image and Speech Processing; Steering; DOA estimation; Array signal processing; Double L-shaped array; Hadamard product; Gain-phase errors; Joint diagonalization
• DOI: 10.1007/s11045-018-0565-5
• ISSN: 0923-6082

A method with double L-shaped array for direction-of-arrival (DOA) estimation in the presence of sensor gain-phase errors is presented. The reason for choosing double L-shaped array is that the shared elements between sub-arrays are the most and rotation invariant property can be applied for this array. The proposed method is introduced as follows. (1) If the number of signal is one, first the gain errors are estimated and removed with the diagonal of the covariance matrix of the array output. Then the array is rotated by an unknown angle and DOA can be estimated with the relationship between signal subspace and steering vector of signal. (2) If signals are more than one, the method for eliminating gain errors is the same with the previous case, and then the phase errors are removed by the Hadamard product of the (cross) covariance matrix and its conjugate. After the errors are eliminated, the DOAs can be estimated by rotation invariant property and orthogonal joint diagonalization for the Hadamard product. This method requires neither calibrated sources nor multidimensional parameter search, and its performance is independent of the phase errors. Simulation results demonstrate the effectiveness of the proposed method.