COPRIME ARRAYS WITH ENHANCED DEGREES OF FREEDOM

Year 2018, Volume: 19 Issue: 2, 235 - 241, 30.06.2018

Ahmet M. Elbir

https://doi.org/10.18038/aubtda.330973

Abstract

Coprime array geometries
provide robust performance for direction-of-arrival estimation problem with
more sources than sensor elements. In previous works it is shown that K source
directions can be resolved using only 2M + N -1 sensor elements where K is less
than or equal to MN. In this paper we introduce a new approach to enhance the
degrees of freedom (DOF) from MN to 2MN by using the same number of sensor
elements. The proposed method is based on computing the covariance matrix of
the observation data multiple times. Hence more DOF can be obtained. The
resulting cross terms corresponding to the coherent sources are modeled as an
interference in a sparse recovery algorithm which is solved effectively by an alternating
minimization procedure. The theoretical analysis of the proposed method is
provided and its superior performance is evaluated through numerical
simulations.

Keywords

Coprime arrays, sparse recovery, interference mitigation, direction of arrival estimation

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