Smith form of FIR pseudocirculants
Journal
IEEE Signal Processing Letters
Journal Volume
9
Journal Issue
8
Pages
256-258
Date Issued
2002
Author(s)
Lin, Yuan-Pei
Abstract
The pseudocirculant matrices have been found to be a very useful tool in the analysis and design of communication systems, e.g., precoding systems and discrete multitone transceivers. In these systems, a scalar channel P (z) is recast into a pseudocirculant channel matrix. Many important channel properties have been derived from the Smith form and the decomposition of pseudocirculants. In this letter, we will show that the Smith form of a pseudocirculant matrix can be given in terms of the zeros of the underlying finite-impulse response (FIR) channel P(z). Once the zeros of P(z) are known, the Smith form of the corresponding pseudocirculant matrix can be obtained in closed form.
Subjects
Block filtering; Congruous zeros; Pseudocirculant; Smith form; Smith form decomposition
Other Subjects
Block filtering; Pseudocirculants; Channel capacity; FIR filters; Matrix algebra; Polynomials; Signal systems; Transceivers; Signal processing
Type
journal article
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