Cart (Loading....) | Create Account
Close category search window

Multiscale signal processing: isotropic random fields on homogeneous trees

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Claus, B. ; IRISA, Inst. Nat. de Recherche en Inf. et Autom., Rennes, France ; Chartier, G.

In this paper we consider isotropic processes indexed by the nodes of a homogeneous tree of order q. An oriented (“hanging”) version of the qth order tree appears naturally when we consider successive filtering-and-decimation (by a factor of q) operations, as in multirate filtering and wavelet transforms. We derive Levinson and Schur recursions which provide us with a parametrization of an isotropic process via its reflection (or PARCOR) coefficient sequence. This can be done in an elegant way in the non-oriented setting, by making use of some general prediction errors. We state the counterpart of these results for the case of the oriented tree, where we have forward and backward prediction errors, defined according to a notion of causality “from coarse to fine scales”. These “oriented” results represent generalizations of the Levinson and Schur recursions derived in for the case of the dyadic tree (i.e., q=2), which were used in to develop modeling and whitening filters for isotropic processes

Published in:

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:41 ,  Issue: 8 )

Date of Publication:

Aug 1994

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.