A Roundoff Error Analysis of the Normalized LMS Algorithm

  • Authors:

  • Pi Sheng Chang;Alan N. Willson Jr

  • Affiliations:

  • -;-

  • Venue:
  • ASILOMAR '95 Proceedings of the 29th Asilomar Conference on Signals, Systems and Computers (2-Volume Set)
  • Year:
  • 1995

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Abstract

This paper describes an analysis of the Normalized LMS algorithm under finite word-length effects. It is shown that, using the Averaging Principle, it is possible to derive a good approximation for the total MSE in steady-state. Implementation issues are considered. It is shown that, in general, the quantization of the division operation will not cause the performance of the algorithm to deteriorate. An example using a look-up table for the division operation is analyzed and simulations are shown to support the analysis.