Two-dimensional perfect reconstruction FIR filter banks with triangular supports

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Abstract

In this paper, we present a theory and design of two-dimensional (2-D) perfect reconstruction (PR) filter-banks (FB's) (PRFB's) in which the supports of the analysis and synthesis filters consist of two triangulars. The two-triangular FB can be realized by designing an appropriate 2-D complex prototype whose passband support is a triangle that is a half of parallelepiped-shaped passband support defined by sampling matrix. Then a complex prototype filter is modulated by DFT, and each analysis filter is derived by taking the real part of the modulated output. We show that the two-triangular FB satisfies the condition of permissibility. A necessary and sufficient condition for 2-D PRFB's will be derived. Moreover, we present a design method of the 2-D PRFB that minimizes the cost function consisting of the frequency constraint and PR condition. Finally, a design example is presented to confirm the validity of the proposed method.

Original languageEnglish
Pages (from-to)1003-1009
Number of pages7
JournalIEEE Transactions on Signal Processing
Volume47
Issue number4
DOIs
Publication statusPublished - 1999 Apr

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

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