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- Title
Variable Tap-Length LMS Algorithm with Adaptive Step Size.
- Authors
Wei, Ying; Yan, Zhibin
- Abstract
The fractional tap-length least mean square adaptive algorithm exhibits robustness and low complexity in adaptive filter design. This algorithm employs one parameter $$\gamma $$ , the tap-length adaptation step size, to balance convergence rate and steady-state tap-length fluctuation. From the viewpoint of threshold parameter, we justify that a time-varying $$\gamma (n)$$ with large value at transient stage and small value at steady stage, instead of a fixed one, can provide both fast convergence rate and small fluctuation. Then, one time-varying strategy for $$\gamma (n)$$ is suggested, where the parameter is adjusted by the difference between squared output error and squared segmented estimation error, and is limited by a sigmoid function. This strategy is motivated by the recognition that such difference indicates transient or steady state.
- Subjects
MEAN square algorithms; LEAST squares; SAMPLING errors; ERROR analysis in mathematics; STATISTICAL sampling
- Publication
Circuits, Systems & Signal Processing, 2017, Vol 36, Issue 7, p2815
- ISSN
0278-081X
- Publication type
Article
- DOI
10.1007/s00034-016-0438-9