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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. http://resolver.caltech.edu/CaltechAUTHORS:VAIprocieee84

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Abstract

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.


Item Type:Article
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.
Record Number:CaltechAUTHORS:VAIprocieee84
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIprocieee84
Alternative URL:http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=31336&arnumber=1457146&count=17&index=1
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6800
Collection:CaltechAUTHORS
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Deposited On:22 Dec 2006
Last Modified:26 Dec 2012 09:25

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