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Matrix decompositions for signal processing of MIMO channels with ISI

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Abstract

This paper sets out a modification of algorithms for calculating the QR decomposition and the singular value decomposition of a polynomial matrix into matrices with elements in the form of rational functions, which is equivalent to the use of IIR rather than FIR filters in processing and generating the signal. The proposed approach can reduce the cost of calculating the decomposition and of further signal processing, primarily by reducing the degree of the polynomials which form the elements of the resultant matrix. This is equivalent to reducing the memory interval of virtual subchannels. This method is based on the polynomial version of the QR algorithm and on Bauer factorization.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    Inna O. Dvorakova & Yuri B. Nechaev

  2. JSC “Sozvezdie” Concern, Voronezh, Russia

    Vladimir A. Makovy & Alexander A. Malyutin

Authors
  1. Inna O. Dvorakova
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  2. Vladimir A. Makovy
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  3. Alexander A. Malyutin
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  4. Yuri B. Nechaev
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Corresponding author

Correspondence to Alexander A. Malyutin.

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Dvorakova, I.O., Makovy, V.A., Malyutin, A.A. et al. Matrix decompositions for signal processing of MIMO channels with ISI. Telecommun Syst 59, 463–468 (2015). https://doi.org/10.1007/s11235-014-9906-3

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  • DOI: https://doi.org/10.1007/s11235-014-9906-3

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