Connecting Steiglitz-McBride Identification, Active Noise Control, and Coefficient Filtering to a Common Framework

作者: C. Richard Johnson , William A. Sethares

DOI: 10.1007/978-1-4471-0711-8_9

关键词: SmoothingExponential stabilityLinear filterControl theoryAdaptive filterInfinite impulse responseAdaptive algorithmFeedback loopComputer scienceActive noise control

摘要: There are many adaptive algorithms that incoporate filtered versions of the regressor vector, error signal, parameter or update term. These modifications can often be viewed as attempts to recapture improve known stability properties linear LMS algorithms, despite operating with IIR parameterizations within a feedback loop. This chapter reviews some basic results on (exponential) and then applies them in three situations: Steiglitz-McBride family an analysis algorithm performance acoustic noise cancellation systems usually incorporate ‘filtered-u’ approach, consolidation coefficient filtering smoothing schemes such momentum leakage. The principle trading-off filters various signals is powerful unifying used create ‘new’ it allows translation between seemingly unrelated forms.

参考文章(28)
J. Proakis, Channel identification for high speed digital communications IEEE Transactions on Automatic Control. ,vol. 19, pp. 916- 922 ,(1974) , 10.1109/TAC.1974.1100738
W. A. Sethares, B. D. O. Anderson, C. R. Johnson, Adaptive Algorithms with Filtered Regressor and Filtered Error Mathematics of Control, Signals, and Systems. ,vol. 2, pp. 381- 403 ,(1989) , 10.1007/BF02551278
John E. Ffowcs Williams, P. A. Nelson, S. J. Elliott, Active Control of Sound ,(1992)
Albert Benveniste, Design of adaptive algorithms for the tracking of time‐varying systems International Journal of Adaptive Control and Signal Processing. ,vol. 1, pp. 3- 29 ,(1987) , 10.1002/ACS.4480010103
L. Eriksson, M. Allie, R. Greiner, The selection and application of an IIR adaptive filter for use in active sound attenuation IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 35, pp. 433- 437 ,(1987) , 10.1109/TASSP.1987.1165165
Hong Fan, W. Jenkins, A new adaptive IIR filter IEEE Transactions on Circuits and Systems. ,vol. 33, pp. 939- 947 ,(1986) , 10.1109/TCS.1986.1085850
Sen M Kuo, Dennis R Morgan, None, Active noise control systems IEE Proceedings A Physical Science, Measurement and Instrumentation, Management and Education, Reviews. ,vol. 134, pp. 525- 546 ,(1987) , 10.1049/IP-A-1:19870074
L. J. Eriksson, Development of the filtered‐U algorithm for active noise control Journal of the Acoustical Society of America. ,vol. 89, pp. 257- 265 ,(1990) , 10.1121/1.2028384
Bernard Widrow, John McCool, Michael G. Larimore, C. Richard Johnson, Stationary and Nonstationary Learning Characteristics of the LMS Adaptive Filter Aspects of Signal Processing. ,vol. 64, pp. 355- 393 ,(1977) , 10.1007/978-94-010-1223-2_23
J. Glover, High Order Algorithms for Adaptive Filters IEEE Transactions on Communications. ,vol. 27, pp. 216- 221 ,(1979) , 10.1109/TCOM.1979.1094250