Smith form of FIR pseudocirculants

Yuan-Pei Lin*, See May Phoong

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish
Pages (from-to)256-258
Number of pages3
JournalIEEE Signal Processing Letters
Issue number8
StatePublished - 1 Aug 2002


  • Block filtering
  • Congruous zeros
  • Pseudocirculant
  • Smith form
  • Smith form decomposition

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