We address a problem to find optimal synthesis filters of oversampled uniform FIR filter banks (FBs) yielding perfect reconstruction (PR), in which the all filters have the same length that is twice a factor of downsampling. In this framework, filter coefficients are allowed to be complex as well as real. Optimality is specified by two criteria: variance of additive noise and stopband attenuation. We first clarify that a synthesis FB yielding PR, which has a degree of freedom in design, can be found in closed form with simple matrix operations. Owing to a degree of freedom, we can specify optimal synthesis FBs which meet those criteria. Theoretical results for finding optimal synthesis filters are shown. Moreover, an example of optimal inverses of a windowed discrete Fourier transform with 50% overlapping is provided.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Optimal design for synthesis filters of oversampled uniform perfect reconstruction filter banks with 50% overlapping


    Contributors:
    Tanaka, T. (author)


    Publication date :

    2005-01-01


    Size :

    280907 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



    A Systematic Construction Method for Spatial-Varying FIR Filter Banks with Perfect Reconstruction

    Xia, X.-G. / Suter, B. W. / IEEE; Signal Processing Society | British Library Conference Proceedings | 1994


    Necessary and sufficient condition for perfect reconstruction matrix filter banks [3813-71]

    Wang, J. / SPIE | British Library Conference Proceedings | 1999