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The digital all-pass filter: a versatile signal processing building block

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3 Author(s)
Regalia, P.A. ; Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA ; Mitra, S.K. ; Vaidyanathan, P.P.

The properties of digital all-pass filters are reviewed and a broad overview of the diversity of applications in digital filtering is provided. Starting with the definition and basic properties of a scalar all-pass function, a variety of structures satisfying the all-pass property are assembled, with emphasis placed on the concept of structural losslessness. Applications are then outlined in notch filtering, complementary filtering and filter banks, multirate filtering, spectrum and group-delay equalization, and Hilbert transformations. In all cases, the structural losslessness property induces very robust performance in the face of multiplier coefficient quantization. Finally, the state-space manifestations of the all-pass property are explored, and it is shown that many all-pass filter structures are devoid of limit cycle behavior and feature very low roundoff noise gain

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Proceedings of the IEEE  (Volume:76 ,  Issue: 1 )