Desgin of multi-dimensional filter banks
type: Item
instance of: scholarly article
zbMATH Open document ID: 0980.93034
author: Mikhail K. Tchobanou
author: Vladimir G. Mironov
publication date: 2001-07-02T00:00:00Z
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93C62
zbMATH DE Number: 1574962
zbMATH Keywords: digital systems
zbMATH Keywords: survey
zbMATH Keywords: separable transfer function
zbMATH Keywords: design
zbMATH Keywords: multidimensional filters
zbMATH Keywords: linear phase
zbMATH Keywords: optimality
zbMATH Keywords: polynomial approach
zbMATH Keywords: discrete-time systems theory
MaRDI profile type: Publication
title: Desgin of multi-dimensional filter banks
review text: A very interesting and up to date overview on the design of multidimensional filters (MDF) is provided. It is shown that the three basic properties which must be imposed to MDF are: perfect reconstruction, linear phase and optimality with respect to a certain class of signals. It is emphasized that the very advantages of MDF can be obtained precisely when the channels interfere each other, i.e., do not reduce to a simple tensor product of 1-D channels, the case when the transfer function is separable. Various approaches are analyzed and as a conclusion, in the authors' opinion, the polynomial approach is the most promising since the analytical form of the response can be obtained. The paper shows to what extent function analysis, discrete-time systems theory and basic facts from physiology join together to provide optimal solutions to problems raised by contemporary communication systems.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00062].
reviewed by: Dumitru Stanomir
description: scientific article