变抽头长度LMS自适应滤波算法
doi: 10.3724/SP.J.1146.2006.01924
Variable Tap-Length LMS Adaptive Filtering Algorithm
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摘要: 该文将自适应滤波器抽头长度与权值调整问题归结为单一的权值调整问题,提出了抽头长度的一般更新公式及新的变抽头长度LMS算法,从理论上分析了其合理性与收敛性。新算法用长滤波器与短滤波器的时平均平方误差估计稳态均方误差,采用了自适应调整的抽头长度步长,可在滤波器权值未收敛时就快速更新抽头长度。论文还证明了目前文献中几种有效的变抽头长度算法也可看作或化为文中抽头长度一般更新公式的特例,理论分析与自适应系统辨识的仿真结果验证了新算法的有效性。Abstract: The tap-length and tap-weight adjusting problems of adaptive filter are converted into a single tap-weight adjusting problem. Based on this, a general tap-length updating formula and a new variable tap-length LMS algorithm are presented. The rationality and convergence property of the new algorithm are analyzed. The new algorithm uses time-mean square error to estimate steady state mean square error of the long and short filter and employs adaptive tap-length step size, thus it can update the tap-length fast before the tap-weight converges. It is also proved that several existing variable tap-length algorithms in the literatures can be regarded as special cases of the general updating formula. The theory analysis and numerical simulation results verify the new algorithm.
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Gong Y and Cowan C F N. A novel variable tap-lengthalgorithm for linear adaptive filters[C]. Proc. IEEE Int. Conf.Acoust., Speech, Signal Process., Montreal, Canada, May2004, Vol. 2: 825-828.[2]Gong Y and Cowan C F N. An LMS style variable tap-lengthalgorithm for structure adaptation[J].IEEE Trans. on SignalProcessing.2005, 53(7):2400-2407[3]Riera-Palou F, Noras J M, and Cruickshank D G M. Linearequalisers with dynamic and automatic length selection[J].Electron Letters.2001, 37(25):1553-1554[4]Gu Y, Tang K, and Cui H. LMS algorithm with gradientdescent filter length[J].IEEE Signal Process. Lett.2004,11(3):305-307[5]Gong Y and Cowan C F N. Structure adaptation of linearMMSE adaptive filters[J].IEE Proceedings-Vision, Image,Signal Process.2004, 151(4):271-277 -
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