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Low passband sensitivity digital filters: A generalized viewpoint and synthesis procedures

Vaidyanathan, P. P. and Mitra, Sanjit K. (1984) Low passband sensitivity digital filters: A generalized viewpoint and synthesis procedures. Proceedings of the IEEE, 72 (4). pp. 404-423. ISSN 0018-9219.

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The concepts of losslessness and maximum available power are basic to the low-sensitivity properties of doubly terminated lossless networks of the continuous-time domain. Based on similar concepts, we develop a new theory for low-sensitivity discrete-time filter structures. The mathematical setup for the development is the bounded-real property of transfer functions and matrices. Starting from this property, we derive procedures for the synthesis of any stable digital filter transfer function by means of a low-sensitivity structure. Most of the structures generated by this approach are interconnections of a basic building block called digital "two-pair," and each two-pair is characterized by a lossless bounded-real (LBR) transfer matrix. The theory and synthesis procedures also cover special cases such as wave digital filters, which are derived from continuous-time networks, and digital lattice structures, which are closely related to unit elements of distributed network theory.

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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© Copyright 1984 IEEE. Reprinted with permission. Manuscript received July 15, 1983; revised January 24, 1984. This work was supported by the National Science Foundation under Grant ECS 82-18310.
Issue or Number:4
Record Number:CaltechAUTHORS:VAIprocieee84
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6800
Deposited By: Archive Administrator
Deposited On:22 Dec 2006
Last Modified:09 Mar 2020 13:19

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