Tracking Capabilities of the LMS Adaptive Filter in the Presence of Gain Variations

Jan W.M. Bergmans

doi:10.1109/29.52711

Tracking Capabilities of the LMS Adaptive Filter in the Presence of Gain Variations

Jan W.M. Bergmans

Eindhoven MedTech Innovation Center

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

Abstract

In this correspondence we study the tracking capabilities of the LMS adaptive filter when applied to identify a nonstationary channel suffering from gain variations. An analytical solution for the steady-state lag error is obtained, and its validity is verified by means of simulations. Depending on the magnitude and bandwidth of the variations, the total steady-state error is either found to increase monotonically as a function of the adaptation parameter µ, or to exhibit a global minimum for a finite, nonzero value of µ.

Original language	English
Pages (from-to)	712-714
Number of pages	3
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	38
Issue number	4
DOIs	https://doi.org/10.1109/29.52711
Publication status	Published - Apr 1990

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abstract = "In this correspondence we study the tracking capabilities of the LMS adaptive filter when applied to identify a nonstationary channel suffering from gain variations. An analytical solution for the steady-state lag error is obtained, and its validity is verified by means of simulations. Depending on the magnitude and bandwidth of the variations, the total steady-state error is either found to increase monotonically as a function of the adaptation parameter µ, or to exhibit a global minimum for a finite, nonzero value of µ.",

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AB - In this correspondence we study the tracking capabilities of the LMS adaptive filter when applied to identify a nonstationary channel suffering from gain variations. An analytical solution for the steady-state lag error is obtained, and its validity is verified by means of simulations. Depending on the magnitude and bandwidth of the variations, the total steady-state error is either found to increase monotonically as a function of the adaptation parameter µ, or to exhibit a global minimum for a finite, nonzero value of µ.

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Tracking Capabilities of the LMS Adaptive Filter in the Presence of Gain Variations

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