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Signal reconstruction from a generalised wavelet transform

Signal reconstruction from a generalised wavelet transform
Signal reconstruction from a generalised wavelet transform
This paper presents a generalisation of the traditional wavelet transform (WT) called the Generalised Wavelet Transform (GWT). This generalisation incorporates a number of linear Time-Frequency Representations (TFRs), including the Short-Time Fourier Transform (ST-FT) and WT. This paper addresses the problem of signal reconstruction from an arbitrary GWT. In order to be robust to modifications of the TFR, a Minimum Least Squares (MLS) approach to signal reconstruction is presented. This results in a method for reconstructing a MLS signal from a modified or altered GWT
8/1-8/5
Lopes, D.M.
f0f09717-0d12-4578-ac99-3d597fa45d7c
White, P.R.
9abd73ae-57c3-4737-8894-ab22c4a79e95
Lopes, D.M.
f0f09717-0d12-4578-ac99-3d597fa45d7c
White, P.R.
9abd73ae-57c3-4737-8894-ab22c4a79e95

Lopes, D.M. and White, P.R. (2000) Signal reconstruction from a generalised wavelet transform. IEE Seminar on Time-scale and Time-Frequency Analysis and Applications. 29 Feb 2000. 8/1-8/5 .

Record type: Conference or Workshop Item (Paper)

Abstract

This paper presents a generalisation of the traditional wavelet transform (WT) called the Generalised Wavelet Transform (GWT). This generalisation incorporates a number of linear Time-Frequency Representations (TFRs), including the Short-Time Fourier Transform (ST-FT) and WT. This paper addresses the problem of signal reconstruction from an arbitrary GWT. In order to be robust to modifications of the TFR, a Minimum Least Squares (MLS) approach to signal reconstruction is presented. This results in a method for reconstructing a MLS signal from a modified or altered GWT

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More information

Published date: February 2000
Venue - Dates: IEE Seminar on Time-scale and Time-Frequency Analysis and Applications, 2000-02-29 - 2000-02-29

Identifiers

Local EPrints ID: 10808
URI: https://eprints.soton.ac.uk/id/eprint/10808
PURE UUID: cd04cd17-0bf0-4743-88dd-ce9f59f70da9

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Date deposited: 04 Dec 2007
Last modified: 15 Jul 2019 19:36

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Contributors

Author: D.M. Lopes
Author: P.R. White

University divisions

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