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Inversion of Parahermitian matrices

Weiss, Stephan and Millar, Andrew P. and Stewart, Robert W. (2010) Inversion of Parahermitian matrices. In: 18th European Signal Processing Conference, 2010-08-23 - 2010-08-28, Aalborg, Denmark.

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    Abstract

    Parahermitian matrices arise in broadband multiple-input multiple-output (MIMO) systems or array processing, and require inversion in some instances. In this paper, we apply a polynomial eigenvalue decomposition obtained by the sequential best rotation algorithm to decompose a parahermitian matrix into a product of two paraunitary, i.e.lossless and easily invertible matrices, and a diagonal polynomial matrix. The inversion of the overall parahermitian matrix therefore reduces to the inversion of auto-correlation sequences in this diagonal matrix. We investigate a number of different approaches to obtain this inversion, and and assessment of the numerical stability and complexity of the inversion process.

    Item type: Conference or Workshop Item (Paper)
    ID code: 20620
    Keywords: parahermitian matrices, inversion, electrical engineering, signal processing, Engineering (General). Civil engineering (General)
    Subjects: Technology > Engineering (General). Civil engineering (General)
    Department: Faculty of Engineering > Electronic and Electrical Engineering
    Related URLs:
    Depositing user: Dr Stephan Weiss
    Date Deposited: 16 Jun 2010 11:26
    Last modified: 20 Jul 2013 21:42
    URI: http://strathprints.strath.ac.uk/id/eprint/20620

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