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Discrete probability density estimation using multirate DSP models

Vaidyanathan, P. P. and Yoon, Byung-Jun (2003) Discrete probability density estimation using multirate DSP models. In: International Conference on Multimedia and Expo, 2003 (ICME '03), Baltimore, MD, 6-9 July 2003. Vol.6. IEEE , Piscataway, NJ, VI-477-VI-480. ISBN 0-7803-7663-3 http://resolver.caltech.edu/CaltechAUTHORS:VAIicme03

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Abstract

We propose a model based approach for estimation of probability mass functions for discrete random variables. The model is based on tools from multirate signal processing. Similar in principle to the kernel based methods, the approach takes advantage of well-known results from multirate signal processing theory. Similarities to and differences from wavelet based approaches is also indicated where appropriate. In the final form, the probability estimates are obtained by filtering the square root of the histogram through a multirate system whose components are biorthogonal partners of each other.


Item Type:Book Section
Additional Information:© Copyright 2003 IEEE. Reprinted with permission. Posted online: 2003-08-18. Work supported in part by the ONR grant N00014-99-1-1002, USA. This paper was originally published in the Proceedings of the 2003 IEEE International Conference on Acoustics, Speech, & Signal Processing, April 6-10.2003. Hong Kong (cancelled). Reprinted with permission.
Subject Keywords:probability; multirate signal processing; wavelet transforms; discrete probability density estimation; probability mass functions
Record Number:CaltechAUTHORS:VAIicme03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIicme03
Alternative URL:http://dx.doi.org/10.1109/ICME.2003.1221052
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9690
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:03 Mar 2008
Last Modified:26 Dec 2012 09:51

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