Title :
Estimation of source bearings at a randomly deformed array by signal space transformations
Author :
Wheeler, D.A. ; Atkins, P.R.
Author_Institution :
Sch. of Electron. & Electr. Eng., Birmingham Univ., UK
Abstract :
A novel approach to array processing is presented which allows high resolution bearing estimation from arrays where the exact sensor locations are not known. It involves rotating weighted eigenvectors in the signal subspace until they resemble wavefront phase delay vectors. In the case of a deformed linear array the phase of these vectors may then be unwrapped and a least squares fit performed. The gradient represents the source wavenumber and the deviations from linear are due to the sensor displacements. The iterative method bears some resemblance to the maximum likelihood solution, but has reduced computational complexity. A simple algorithm involving an eigendecomposition at each iteration is given to present the ideal convergence characteristics. This decomposition is performed on a Hermitian symmetric M×M matrix where M is the number of sources
Keywords :
detectors; eigenvalues and eigenfunctions; iterative methods; matrix algebra; signal processing; Hermitian symmetric matrix; algorithm; array processing; computational complexity; convergence characteristics; deformed linear array; eigendecomposition; high resolution bearing estimation; iterative method; least squares fit; randomly deformed array; sensor displacements; sensor locations; signal space transformations; signal subspace; source bearing estimation; source wavenumber; wavefront phase delay vectors; weighted eigenvectors; Array signal processing; Direction of arrival estimation; Iterative methods; Least squares methods; Phased arrays; Propagation delay; Sensor arrays; Sensor phenomena and characterization; Signal resolution; Vectors;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.150170