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The design of optimum filters for quantizing a class of non bandlimited signals

Tuqan, Jamal and Vaidyanathan, P. P. (1998) The design of optimum filters for quantizing a class of non bandlimited signals. In: IEEE International Symposium on Circuits and Systems (ISCAS '98), Monterey, CA. Vol.5. IEEE , Piscataway, NJ, pp. 33-36. ISBN 0780344553 http://resolver.caltech.edu/CaltechAUTHORS:TUQiscas98a

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Abstract

We consider the efficient quantization of a class of non bandlimited signals, namely the class of discrete time signals that can be recovered from their decimated version. By definition, these signals are oversampled and it is reasonable to expect that we can reap the same benefits of well known efficient A/D conversion techniques. Indeed, by using appropriate multirate reconstruction schemes, we first show that we can obtain a great reduction in the quantization noise variance due to the oversampled nature of the signals. To further increase the effective quantizer resolution, noise shaping is introduced by optimizing linear time invariant (LTI) and linear periodically time varying (LPTV)M pre- and post-filters around the quantizer. Closed form expressions for the optimum filters and the minimum mean squared error are derived for each case.


Item Type:Book Section
Additional Information:© Copyright 1998 IEEE. Reprinted with permission. Publication Date: 31 May-3 June 1998. This work is supported in parts by the Office of Naval Research grant N00014-93-1-0231, Tektronix, Inc., and Rockwell International.
Subject Keywords:filtering theory; noise; quantization (signal); discrete time signals; linear periodically time varying filters; linear time invariant filters; minimum mean squared error; multirate reconstruction schemes; noise shaping; nonbandlimited signals; optimum filters design; oversampled signals; post-filters; pre-filters; quantization noise variance; quantizer resolution; signal quantization
Record Number:CaltechAUTHORS:TUQiscas98a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:TUQiscas98a
Alternative URL:http://dx.doi.org/10.1109/ISCAS.1998.694401
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10786
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:10 Jun 2008
Last Modified:26 Dec 2012 10:05

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