Smooth multiwavelets based on two scaling functions

Peter Rieder; Josef A. Nossek

Smooth multiwavelets based on two scaling functions

Peter Rieder
, Josef A. Nossek

Chair of Circuit Theory and Signal Processing (2008 — 2021)

Technical University of Munich

Research output: Contribution to conference › Paper › peer-review

6 Scopus citations

Abstract

In this paper new multiwavelets based on several scaling functions are designed. The resulting wavelets exhibit the following properties: compact support, symmetry and orthogonality, arbitrary approximation order as well as good frequency resolution. The new bases are quite similar to the well known splines and also have close relationships to multirate filterbanks (multiwavelets based on one scaling function). The good performance of the new wavelets with respect to the smoothness and the frequency resolution is documented.

Original language	English
Pages	309-312
Number of pages	4
State	Published - 1996
Event	Proceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Paris, Fr Duration: 18 Jun 1996 → 21 Jun 1996

Conference

Conference	Proceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
City	Paris, Fr
Period	18/06/96 → 21/06/96

Cite this

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title = "Smooth multiwavelets based on two scaling functions",

abstract = "In this paper new multiwavelets based on several scaling functions are designed. The resulting wavelets exhibit the following properties: compact support, symmetry and orthogonality, arbitrary approximation order as well as good frequency resolution. The new bases are quite similar to the well known splines and also have close relationships to multirate filterbanks (multiwavelets based on one scaling function). The good performance of the new wavelets with respect to the smoothness and the frequency resolution is documented.",

author = "Peter Rieder and Nossek, \{Josef A.\}",

year = "1996",

language = "English",

pages = "309--312",

note = "Proceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis ; Conference date: 18-06-1996 Through 21-06-1996",

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TY - CONF

T1 - Smooth multiwavelets based on two scaling functions

AU - Rieder, Peter

AU - Nossek, Josef A.

PY - 1996

Y1 - 1996

N2 - In this paper new multiwavelets based on several scaling functions are designed. The resulting wavelets exhibit the following properties: compact support, symmetry and orthogonality, arbitrary approximation order as well as good frequency resolution. The new bases are quite similar to the well known splines and also have close relationships to multirate filterbanks (multiwavelets based on one scaling function). The good performance of the new wavelets with respect to the smoothness and the frequency resolution is documented.

AB - In this paper new multiwavelets based on several scaling functions are designed. The resulting wavelets exhibit the following properties: compact support, symmetry and orthogonality, arbitrary approximation order as well as good frequency resolution. The new bases are quite similar to the well known splines and also have close relationships to multirate filterbanks (multiwavelets based on one scaling function). The good performance of the new wavelets with respect to the smoothness and the frequency resolution is documented.

UR - https://www.scopus.com/pages/publications/0029714950

M3 - Paper

AN - SCOPUS:0029714950

SP - 309

EP - 312

T2 - Proceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

Y2 - 18 June 1996 through 21 June 1996

ER -

Smooth multiwavelets based on two scaling functions

Abstract

Conference

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