Two-dimensional perfect reconstruction FIR filter banks with triangular supports

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    11 Citations (Scopus)


    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
    Issue number4
    Publication statusPublished - 1999 Apr 1

    ASJC Scopus subject areas

    • Signal Processing
    • Electrical and Electronic Engineering


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