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
Article number1034992
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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