Tracking of signal subspace projectors

• Published in: IEEE transactions on signal processing Vol. 50; no. 4; pp. 769 - 778
• Main Author: Utschick, W.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.04.2002; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Array signal processing; Arrays; Calculus; Detection, estimation, filtering, equalization, prediction; Direction of arrival estimation; Eigenvalues and eigenfunctions; Exact sciences and technology; Frequency; Information, signal and communications theory; Mathematical analysis; Matrix decomposition; Parametrization; Projection; Projectors; Signal and communications theory; Signal processing; Signal processing algorithms; Signal, noise; Singular value decomposition; Subspaces; Telecommunications and information theory; Tracking; Projection method; Direction-of-arrival estimation; Target tracking; Array signal processing; Simulation; Steepest descent method; Subspace method; Parameterization; Signal detection; Optimization
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/78.992119

A new subspace tracking approach that directly operates on the projection matrix onto the signal subspace instead of tracking its unitary eigenbasis is proposed. Therefore, the difficulties arising from introducing a calculus on the manifold of projection matrices are overcome by a proper parameterization of the projectors. Simulation results are presented from the field of angular frequency retrieval in array signal processing.