Multirate signal processing on finite fields

S. Sarkar, H. V. Poor

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

The paper addresses the problem of multirate signal processing over arbitrary fields. Studies of multirate systems and filter banks have proceeded in parallel, and a wealth of results are available in literature. The authors concentrate their attention on cyclic systems. These structures are ideally suited to generalising the concepts to finite fields. The perfect reconstruction property for quadrature mirror filter banks is obtained. It is shown how the cyclic wavelet transform (CWT) can be derived from such systems; the relationships between cyclic filter banks and CWTs are explored in detail. The results obtained are potentially very well suited for speech and image encoding, as well as for fast algorithms in signal processing.

Original languageEnglish (US)
Pages (from-to)254-262
Number of pages9
JournalIEE Proceedings: Vision, Image and Signal Processing
Volume148
Issue number4
DOIs
StatePublished - Aug 1 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering

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