Skip to content

Advertisement

  • Research Article
  • Open Access

Fast Subspace Tracking Algorithm Based on the Constrained Projection Approximation

EURASIP Journal on Advances in Signal Processing20092009:576972

https://doi.org/10.1155/2009/576972

  • Received: 19 May 2008
  • Accepted: 28 January 2009
  • Published:

Abstract

We present a new algorithm for tracking the signal subspace recursively. It is based on an interpretation of the signal subspace as the solution of a constrained minimization task. This algorithm, referred to as the constrained projection approximation subspace tracking (CPAST) algorithm, guarantees the orthonormality of the estimated signal subspace basis at each iteration. Thus, the proposed algorithm avoids orthonormalization process after each update for postprocessing algorithms which need an orthonormal basis for the signal subspace. To reduce the computational complexity, the fast CPAST algorithm is introduced which has complexity. In addition, for tracking the signal sources with abrupt change in their parameters, an alternative implementation of the algorithm with truncated window is proposed. Furthermore, a signal subspace rank estimator is employed to track the number of sources. Various simulation results show good performance of the proposed algorithms.

Keywords

  • Information Technology
  • Quantum Information
  • Full Article
  • Publisher Note
  • Projection Approximation

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Electrical Engineering Department, Shiraz University, 713485 1151 Shiraz, Iran
(2)
Engineering Research Center, 134457 5411 Tehran, Iran

Copyright

© A. Valizadeh and M. Karimi. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advertisement