tailieunhanh - Báo cáo hóa học: " Research Article Step Size Bound of the Sequential Partial Update LMS Algorithm with Periodic Input Signals"

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 Step Size Bound of the Sequential Partial Update LMS Algorithm with Periodic Input Signals | Hindawi Publishing Corporation EURASIP Journal on Audio Speech and Music Processing Volume 2007 Article ID 10231 15 pages doi 2007 10231 Research Article Step Size Bound of the Sequential Partial Update LMS Algorithm with Periodic Input Signals Pedro Ramos 1 Roberto Torrubia 2 Ana Lopez 1 Ana Salinas 1 and Enrique Masgrau2 1 Communication Technologies Group Aragon Institute for Engineering Research I3A EUPT University of Zaragoza Ciudad Escolar s n 44003 Teruel Spain 2 Communication Technologies Group Aragon Institute for Engineering Research I3A CPS Ada Byron University of Zaragoza Maria de Luna 1 50018 Zaragoza Spain Received 9 June 2006 Revised 2 October 2006 Accepted 5 October 2006 Recommended by Kutluyil Dogancay This paper derives an upper bound for the step size of the sequential partial update PU LMS adaptive algorithm when the input signal is a periodic reference consisting of several harmonics. The maximum step size is expressed in terms of the gain in step size of the PU algorithm defined as the ratio between the upper bounds that ensure convergence in the following two cases firstly when only a subset of the weights of the filter is updated during every iteration and secondly when the whole filter is updated at every cycle. Thus this gain in step-size determines the factor by which the step size parameter can be increased in order to compensate the inherently slower convergence rate of the sequential PU adaptive algorithm. The theoretical analysis of the strategy developed in this paper excludes the use of certain frequencies corresponding to notches that appear in the gain in step size. This strategy has been successfully applied in the active control of periodic disturbances consisting of several harmonics so as to reduce the computational complexity of the control system without either slowing down the convergence rate or increasing the residual error. Simulated and experimental results confirm the expected behavior. Copyright 2007 Pedro .

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