LMS and RLS tracking analysis for WSSUS channels

  • Authors:

  • Voicu Filimon;Werner Kozek;Werner Kreuzer;Gernot Kubin

  • Affiliations:

  • Institut für Nachrichtentechnik und Hochfrequenztechnik, Vienna University of Technology, Vienna, Austria;Institut für Nachrichtentechnik und Hochfrequenztechnik, Vienna University of Technology, Vienna, Austria;Institut für Nachrichtentechnik und Hochfrequenztechnik, Vienna University of Technology, Vienna, Austria;Information Principles Research Laboratory, AT&T Bell Laboratories, Murray Hill, NJ and Institut für Nachrichtentechnik und Hochfrequenztechnik, Vienna University of Technology, Vienna, A ...

  • Venue:
  • ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: digital speech processing - Volume III
  • Year:
  • 1993

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Abstract

We study the tracking performance of the LMS and the exponentially weighted RLS algorithm for the identification of linear time-varying communication channels. The concept of wide-sense stationary uncorrelated scattering (WSSUS) serves as a stochastic model for the time evolution of the channel's impulse response. This description is of practical relevance for the mobile radio channel. Based on an approximate analysis of the adaptive algorithms as coefficient filters, we obtain closed-form expressions for the mean-squared identification error in terms of the channel's scattering function and the LMS step size or RLS weighting factor. The analytical results show good agreement with experiments and thus allow to match the design parameters of the recursive identification schemes to the a priori knowledge of the physicalchannel. Further simulation experiments show that both the RLS and LMS tracking performance degrades significantly when the adaptive filter order is insufficient to model the hue channel.