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. https://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 | ||||||
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| 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 | ||||||
| DOI: | 10.1109/ICME.2003.1221052 | ||||||
| Record Number: | CaltechAUTHORS:VAIicme03 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:VAIicme03 | ||||||
| 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: | 08 Nov 2021 21:01 |
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