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Published January 1988 | Published
Journal Article Open

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

Abstract

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.

Additional Information

© Copyright 1988 IEEE. Reprinted with permission. Manuscript received July 10, 1987; revised October 16,1987. This work was supported by the National Science Foundation under Grants MIP 85-08017 and MIP 8404245. The authors would like to thank Dr. M. Bellanger for useful criticisms.

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