Title :
Analysis of adaptive LMS estimator with cyclic sequences in complex frequency domain
Author :
Liu, Ging-Shing ; Wei, Che-Ho
Author_Institution :
Inst. of Electron., Nat. Chiao Tung Univ., Hsinchu, Taiwan
fDate :
12/1/1995 12:00:00 AM
Abstract :
Cyclic sequences are usually employed as the reference sequences in the adaptive filtering systems for signal or channel estimation. In this situation, the stability of an adaptive filter can be analyzed by an equivalent transfer function in complex frequency domain. For several special classes of cyclic reference sequences, the stability bounds of the adaptive filter with least mean-square (LMS) algorithm and its variants, leaky-LMS (L-LMS) and minimum output variance LMS (MOV-LMS), are obtained. Effects of these algorithms on the resultant transfer functions and the stability bounds are also investigated
Keywords :
adaptive estimation; adaptive filters; estimation theory; filtering theory; least mean squares methods; adaptive LMS estimator; adaptive filtering systems; channel estimation; complex frequency domain; cyclic reference sequences; equivalent transfer function; filter stability; leaky-LMS; least mean-square algorithm; minimum output variance LMS; signal estimation; stability bounds; Adaptive filters; Analog-digital conversion; Circuits; Frequency domain analysis; Frequency estimation; Least squares approximation; Optical signal processing; Signal processing algorithms; Stability analysis; Transfer functions;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
