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Application of the Evidence Procedure to the Estimation of Wireless Channels

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 079821 (2007) Cite this article

Abstract

We address the application of the Bayesian evidence procedure to the estimation of wireless channels. The proposed scheme is based on relevance vector machines (RVM) originally proposed by M. Tipping. RVMs allow to estimate channel parameters as well as to assess the number of multipath components constituting the channel within the Bayesian framework by locally maximizing the evidence integral. We show that, in the case of channel sounding using pulse-compression techniques, it is possible to cast the channel model as a general linear model, thus allowing RVM methods to be applied. We extend the original RVM algorithm to the multiple-observation/multiple-sensor scenario by proposing a new graphical model to represent multipath components. Through the analysis of the evidence procedure we develop a thresholding algorithm that is used in estimating the number of components. We also discuss the relationship of the evidence procedure to the standard minimum description length (MDL) criterion. We show that the maximum of the evidence corresponds to the minimum of the MDL criterion. The applicability of the proposed scheme is demonstrated with synthetic as well as real-world channel measurements, and a performance increase over the conventional MDL criterion applied to maximum-likelihood estimates of the channel parameters is observed.

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Authors and Affiliations

  1. Signal Processing and Speech Communication Laboratory, Graz University of Technology, Graz, 8010, Austria

    Dmitriy Shutin & Gernot Kubin

  2. Institute of Electronic Systems, Aalborg University, Fredrik Bajers Vej 7A, Aalborg, 9220, Denmark

    Bernard H. Fleury

  3. Forschungszentrum Telekommunikation Wien (ftw.), Donau City Strasse 1, Wien, 1220, Austria

    Bernard H. Fleury

Authors
  1. Dmitriy Shutin
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  2. Gernot Kubin
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  3. Bernard H. Fleury
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Correspondence to Dmitriy Shutin.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://doi.org/creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Shutin, D., Kubin, G. & Fleury, B.H. Application of the Evidence Procedure to the Estimation of Wireless Channels. EURASIP J. Adv. Signal Process. 2007, 079821 (2007). https://doi.org/10.1155/2007/79821

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