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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 Analysis of Transient and Steady-State Behavior of a Multichannel Filtered-x Partial-Error Affine Projection Algorithm | Hindawi Publishing Corporation EURASIP Journal on Audio Speech and Music Processing Volume 2007 Article ID 31314 15 pages doi 10.1155 2007 31314 Research Article Analysis of Transient and Steady-State Behavior of a Multichannel Filtered-X Partial-Error Affine Projection Algorithm Alberto Carini1 and Giovanni L. Sicuranza2 1 Information Science and Technology Institute University of Urbino Carlo Bo 61029 Urbino Italy 2 Department of Electrical Electronic and Computer Engineering University of Trieste 34127 Trieste Italy Received 28 April 2006 Revised 24 November 2006 Accepted 27 November 2006 Recommended by Kutluyil Dogancay The paper provides an analysis of the transient and the steady-state behavior of a filtered-x partial-error affine projection algorithm suitable for multichannel active noise control. The analysis relies on energy conservation arguments it does not apply the independence theory nor does it impose any restriction to the signal distributions. The paper shows that the partial-error filtered-x affine projection algorithm in presence of stationary input signals converges to a cyclostationary process that is the mean value of the coefficient vector the mean-square error and the mean-square deviation tend to periodic functions of the sample time. Copyright 2007 A. Carini and G. L. Sicuranza. 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 Active noise controllers are based on the destructive interference in given locations of the noise produced by some primary sources and the interfering signals generated by some secondary sources driven by an adaptive controller 1 . A commonly used strategy is based on the so-called feedforward methods where some reference signals measured in the proximity of the noise source are available. These signals are used together with the error .