Allpass Feedback Delay Networks

    Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

    10 Sitaatiot (Scopus)
    188 Lataukset (Pure)

    Abstrakti

    In the 1960s, Schroeder and Logan introduced delay line-based allpass filters, which are still popular due to their computational efficiency and versatile applicability in artificial reverberation, decorrelation, and dispersive system design. In this work, we extend the theory of allpass systems to any arbitrary connection of delay lines, namely feedback delay networks (FDNs). We present a characterization of uniallpass FDNs, i.e., FDNs, which are allpass for an arbitrary choice of delays. Further, we develop a solution to the completion problem, i.e., given an FDN feedback matrix to determine the remaining gain parameters such that the FDN is allpass. Particularly useful for the completion problem are feedback matrices, which yield a homogeneous decay of all system modes. Finally, we apply the uniallpass characterization to previous FDN designs, namely, Schroeder's series allpass and Gardner's nested allpass for single-input, single-output systems, and, Poletti's unitary reverberator for multi-input, multi-output systems and demonstrate the significant extension of the design space.

    AlkuperäiskieliEnglanti
    Artikkeli9332286
    Sivut1028-1038
    Sivumäärä11
    JulkaisuIEEE Transactions on Signal Processing
    Vuosikerta69
    DOI - pysyväislinkit
    TilaJulkaistu - 21 tammik. 2021
    OKM-julkaisutyyppiA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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