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An introduction to the multiresolution Fourier transform and its applications
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Wilson, Roland, Calway, Andrew David, Pearson, Edward R. S. and Davies, Andrew Richard (1992) An introduction to the multiresolution Fourier transform and its applications. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)
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PDF (Department of Computer Science Research Report)
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Abstract
The Multiresolution Fourier Transform (MFT) is a new tool for signal analysis which is designed with the express intent of providing a local signal representation adapted to the problem of segmenting signals into s set of meaningful primitive features. It is shown that this requires a signal representation that is richer than conventional Short Time Fourier Transforms (STFT) or indeed Wavelet Transformations (WT), but shares with them the property of giving a phase-space description of the signal. These considerations lead to the new transform, which can be seen as a marriage of the STFT and WT which overcomes the limitations of either as a signal representation for segmentation. Some of the elementary properties of the MFT are then discussed and its implementation for discrete signals is considered. The report is concluded with a summary of results obtained with the MFT on audio and image signal segmentation.
| Item Type: | Report | ||||
|---|---|---|---|---|---|
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Fourier transformations, Image analysis | ||||
| Series Name: | Department of Computer Science research report | ||||
| Publisher: | University of Warwick. Department of Computer Science | ||||
| Official Date: | 1992 | ||||
| Dates: |
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| Number: | Number 204 | ||||
| Number of Pages: | 41 | ||||
| DOI: | CS-RR-204 | ||||
| Institution: | University of Warwick | ||||
| Theses Department: | Department of Computer Science | ||||
| Status: | Not Peer Reviewed | ||||
| Publication Status: | Unpublished | ||||
| Related URLs: |
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