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.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

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


    Beteiligte:
    Tanaka, T. (Autor:in)


    Erscheinungsdatum :

    01.01.2005


    Format / Umfang :

    280907 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Multidimensional Causal, Stable, Perfect Reconstruction Filter Banks

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