Following our recent work on the design and parametrization of one-dimensional, causal, stable, perfect reconstruction subband coding schemes, we show that very similar results hold in multi-dimensions as well. Such considerations are far more non-trivial, however, due to difficulties characteristic of the algebra of multi-variable polynomials and rational functions. As in 1-D, both frequency as well as state space domain descriptions of complete parametrization and design methods turn out to be feasible in the multidimensional case. While the need for causal, stable schemes in nonseparable subband coding is substantiated, at the same time we raise and discuss the issue of genericity of the PR property in multidimensional problems. Examples are included to partially illustrate the central theme of the work reported.<>


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Multidimensional causal, stable, perfect reconstruction filter banks


    Contributors:
    Basu, S. (author) / Han Mook Choi (author)


    Publication date :

    1994-01-01


    Size :

    406723 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Multidimensional Causal, Stable, Perfect Reconstruction Filter Banks

    Basu, S. / Han Mook Choi / IEEE; Signal Processing Society | British Library Conference Proceedings | 1994


    Causal stable matched IIR wavelets and perfect reconstruction filter banks [4056-28]

    Rao, R. M. / Lopez-Estrada, A. A. / Bopardikar, A. S. et al. | British Library Conference Proceedings | 2000



    Design of causal stable IIR filter banks with powers-of-two coefficients

    Phoong, See-May / Lin, Bor-Ting / Lin, Yuan-Pei | IEEE | 2000