On biorthogonal nonuniform filter banks and tree structures

A. Pandharipande, S. Dasgupta

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)


This paper concerns biorthogonal nonuniform filter banks. It is shown that a tree structured filter bank is biorthogonal if it is equivalent to a tree structured filter bank whose matching constituent levels on the analysis and synthesis sides are themselves biorthogonal pairs. We then show that a stronger statement can be made about dyadic filter banks in general: That a dyadic filter bank is biorthogonal if both the analysis and synthesis banks can be decomposed into dyadic trees. We further show that these decompositions are stability and FIR preserving. These results, derived for filter banks having filters with rational transfer functions, thus extend some of the earlier comparable results for orthonormal filter banks.
Original languageEnglish
Article number1039497
Pages (from-to)1457-1467
Number of pages11
JournalIEEE Transactions on Circuits and Systems. I, Fundamental Theory and Applications
Issue number10
Publication statusPublished - 1 Oct 2002
Externally publishedYes


  • Channel bank filters
  • Tree data structures
  • Filter bank
  • Finite impulse response filter
  • Image coding
  • Discrete wavelet transforms
  • Wavelet packets
  • Linearity
  • Wavelet transforms
  • Stability


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