tailieunhanh - Báo cáo hóa học: " Research Article Set-Membership Proportionate Affine Projection Algorithms"

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 Set-Membership Proportionate Affine Projection Algorithms | Hindawi Publishing Corporation EURASIP Journal on Audio Speech and Music Processing Volume 2007 Article ID 34242 10 pages doi 2007 34242 Research Article Set-Membership Proportionate Affine Projection Algorithms Stefan Werner 1 Josts A. Apolinario Jr. 2 and Paulo S. R. Diniz3 1 Signal Processing Laboratory Helsinki University of Technology Otakaari 5A 02150 Espoo Finland 2 Department of Electrical Engineering Instituto Militar de Engenharia 2229-270 Rio de Janeiro Brazil 3 Signal Processing Laboratory COPPE Poli Universidade Federal do Rio de Janeiro 21945-970 Rio de Janeiro Brazil Received 30 June 2006 Revised 15 November 2006 Accepted 15 November 2006 Recommended by Kutluyil Dogancay Proportionate adaptive filters can improve the convergence speed for the identification of sparse systems as compared to their conventional counterparts. In this paper the idea of proportionate adaptation is combined with the framework of set-membership filtering SMF in an attempt to derive novel computationally efficient algorithms. The resulting algorithms attain an attractive faster converge for both situations of sparse and dispersive channels while decreasing the average computational complexity due to the data discerning feature of the SMF approach. In addition we propose a rule that allows us to automatically adjust the number of past data pairs employed in the update. This leads to a set-membership proportionate affine projection algorithm SM-PAPA having a variable data-reuse factor allowing a significant reduction in the overall complexity when compared with a fixed data-reuse factor. Reduced-complexity implementations of the proposed algorithms are also considered that reduce the dimensions of the matrix inversions involved in the update. Simulations show good results in terms of reduced number of updates speed of convergence and final mean-squared error. Copyright 2007 Stefan Werner et al. This is an open access article distributed under the Creative Commons .

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