A variable step size LMS algorithm

  • Authors:
  • R.H. Kwong;E.W. Johnston

  • Affiliations:
  • Dept. of Electr. Eng., Toronto Univ., Ont.;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1992

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Abstract

A least-mean-square (LMS) adaptive filter with a variable step size is introduced. The step size increases or decreases as the mean-square error increases or decreases, allowing the adaptive filter to track changes in the system as well as produce a small steady state error. The convergence and steady-state behavior of the algorithm are analyzed. The results reduce to well-known results when specialized to the constant-step-size case. Simulation results are presented to support the analysis and to compare the performance of the algorithm with the usual LMS algorithm and another variable-step-size algorithm. They show that its performance compares favorably with these existing algorithms