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Improved bounds for the rate loss of multi-resolution source codes

Feng, Hanying and Effros, Michelle (2001) Improved bounds for the rate loss of multi-resolution source codes. In: IEEE International Symposium on Information Theory (ISIT '01), Washington, DC, 24-29 June 2001. IEEE , Piscataway, NJ, p. 193. ISBN 0-7803-7123-2. https://resolver.caltech.edu/CaltechAUTHORS:FENisit01

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Abstract

In this paper, we present new bounds for the rate loss of multi-resolution source codes. Consider an M-resolution code with ith-resolution rate and distortion Ri and Di. The ith-resolution rate loss, defined as Li=Ri-R(Di), describes the performance degradation of the multi-resolution code compared to the best single-resolution code with the same distortion. For 2-resolution codes, there are three scenarios of particular interest: (i) both resolutions are equally important; (ii) the rate loss at the first resolution is 0; (iii) the rate loss at the second resolution is 0. Lastras and Berger (see IEEE Trans. Inform. Theory, vol.47, no.3, p.918-26, March 2001) give constant upper bounds for the rate loss of an arbitrary i.i.d. source in scenarios (i) and (ii) and an asymptotic bound for scenario (iii) as D2→0. In this paper, we: (a) prove that L2 &les;1.1610 for all D2<D1 in scenario (iii); (b) tighten the Lastras-Berger bound from L1&les;1 to L1&les;0.7250 in scenario (ii); (c) tighten the Lastras-Berger bound from 0.5 to 0.3801 in scenario (i); and (d) generalize the bound for scenario () to M-resolution codes.


Item Type:Book Section
Additional Information:© Copyright 2001 IEEE. Reprinted with permission. This material is based upon work partially supported by NSF Grant No. CCR-9909026 and the Caltech's Lee Center for Advanced Networking.
Subject Keywords:rate distortion theory, source coding, source coding theory
Record Number:CaltechAUTHORS:FENisit01
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:FENisit01
Alternative URL:http://dx.doi.org/10.1109/ISIT.2001.936056
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7385
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:07 Feb 2007
Last Modified:02 Oct 2019 23:41

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