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 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.
Lopes, D.M.
f0f09717-0d12-4578-ac99-3d597fa45d7c
White, P.R.
9abd73ae-57c3-4737-8894-ab22c4a79e95
2000
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, Tampere, Finland.
01 Jan 2000.
4 pp
.
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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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Published date: 2000
Venue - Dates:
EUSIPCO 2000: European Signal Processing Conference, Tampere, Finland, 2000-01-01 - 2000-01-01
Identifiers
Local EPrints ID: 10810
URI: http://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: 08 Jan 2022 15:45
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Contributors
Author:
D.M. Lopes
Author:
P.R. White
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