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Signal reconstruction from the magnitude and phase of a generalised wavelet transform

Signal reconstruction from the magnitude and phase of a generalised wavelet transform
Signal reconstruction from the magnitude and phase of a generalised wavelet transform
This paper presents a generalisation of the traditional Wavelet Transform (WT) called the Generalised Wavelet Transfonn (GWT). This generalisation incorporates a number of hear 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 Mini” 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.
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 the magnitude and phase of a generalised wavelet transform. EUSIPCO 2000: European Signal Processing Conference. 01 Jan 2000. 4 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

This paper presents a generalisation of the traditional Wavelet Transform (WT) called the Generalised Wavelet Transfonn (GWT). This generalisation incorporates a number of hear 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 Mini” 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: 2000
Venue - Dates: EUSIPCO 2000: European Signal Processing Conference, 2000-01-01 - 2000-01-01

Identifiers

Local EPrints ID: 10810
URI: https://eprints.soton.ac.uk/id/eprint/10810
PURE UUID: 147d0544-0746-4d83-bc19-f6fa811bb61b

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Date deposited: 06 May 2005
Last modified: 15 Jul 2019 19:36

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