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

Regalia, Phillip A. and Mitra, Sanjit K. and Vaidyanathan, P. P. (1988) The digital all-pass filter: a versatile signal processing building block. Proceedings of the IEEE, 76 (1). pp. 19-37. ISSN 0018-9219. doi:10.1109/5.3286.

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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.

Item Type:Article
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Vaidyanathan, P. P.0000-0003-3003-7042
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.
Funding AgencyGrant Number
National Science FoundationMIP 85-08017
National Science FoundationMIP 8404245
Subject Keywords:all-pass filters; digital filters
Issue or Number:1
Record Number:CaltechAUTHORS:REGprocieee88
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12029
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Deposited On:20 Oct 2008 20:49
Last Modified:08 Nov 2021 22:25

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