The role of difference coarrays in correlation subspaces
Journal
51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017
Journal Volume
2017-October
Pages
1173-1177
Date Issued
2018
Author(s)
Vaidyanathan, P.P.
Abstract
The concept of correlation subspaces was recently introduced in array processing literature by Rahmani and Atia. Given a sensor array, its geometry determines the correlation subspace completely, and the covariance matrix of the array output is constrained in a certain way by the correlation subspace. It has been shown by Rahmani and Atia that this knowledge about the covariance constraint can be exploited to improve the performance of DOA estimators. In this paper, it is shown that there is a simple closed form expression for the basis vectors of the correlation subspace. Thus, computation of this subspace is greatly simplified. Another fundamental observation is that, this expression is closely related to the difference coarray. Thirdly, the paper also shows an interesting logical connection between correlation subspaces, redundancy averaging, and rectification, which are popularly used in DOA estimation 1 .
Type
conference paper