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. https://resolver.caltech.edu/CaltechAUTHORS:REGprocieee88
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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.
Item Type: | Article | |||||||||
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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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Subject Keywords: | all-pass filters; digital filters | |||||||||
Issue or Number: | 1 | |||||||||
DOI: | 10.1109/5.3286 | |||||||||
Record Number: | CaltechAUTHORS:REGprocieee88 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:REGprocieee88 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 12029 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Archive Administrator | |||||||||
Deposited On: | 20 Oct 2008 20:49 | |||||||||
Last Modified: | 08 Nov 2021 22:25 |
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