tailieunhanh - Báo cáo hóa học: " Research Article Fast Subspace Tracking Algorithm Based on the Constrained Projection Approximation"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Fast Subspace Tracking Algorithm Based on the Constrained Projection Approximation | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2009 Article ID 576972 16 pages doi 2009 576972 Research Article Fast Subspace Tracking Algorithm Based on the Constrained Projection Approximation Amir Valizadeh1 2 and Mahmood Karimi EURASIP Member 1 1ElectricalEngineeringDepartment Shiraz University 713485 1151 Shiraz Iran 2Engineering Research Center 134457 5411 Tehran Iran Correspondence should be addressed to Amir Valizadeh amirvalizadeh81@ Received 19 May 2008 Revised 4 November 2008 Accepted 28 January 2009 Recommended by J. C. M. Bermudez 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 O nr 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. Copyright 2009 A. Valizadeh and M. Karimi. 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. 1. Introduction Subspace-based signal analysis methods play a major role in contemporary signal processing area. Subspace-based high-resolution methods have been

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