Rate distortion function for nth-order Gaussian Markov process

Autor:	S. F. Bahgat, Said Ghoniemy
Rok vydání:	1993
Předmět:	Distortion function Applied Mathematics Gaussian Markov process Information theory Rate–distortion theory symbols.namesake Signal Processing Calculus symbols Applied mathematics Rate distortion Gaussian process Mathematics Coding (social sciences)
Zdroj:	Circuits, Systems, and Signal Processing. 12:567-578
ISSN:	1531-5878 0278-081X
DOI:	10.1007/bf01188095
Popis:	The foundations of information theory as a whole, and the rate distortion theory in particular, were ably laid by Shannon in 1948. The rate distortion function R(D) is defined as the effective rate (R) at which the source produces information subject to the constraint that the user can tolerate an average distortion of D. The rate distortion functions for Gaussian Markov Processes were studied by Berger [1] and Bunin [2] for small distortion values. This paper presents the generalization of this study fornth-order Gaussian Markov processes for all distortion levels from 0 to? 2. The function is first derived, computer simulated, and then calculated for first and second order cases, and the corresponding results are commented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8121f80c3ed818b781041d985bfd7e58 https://doi.org/10.1007/bf01188095 Zobrazit plný text záznamu Full text from SpringerLink