An introduction to the multiresolution Fourier transform and its applications
Wilson, R.G., Calway, A.D., Pearson, E.R.S. and Davies, A.R. (1992) An introduction to the multiresolution Fourier transform and its applications. Technical Report. Department of Computer Science, Coventry, UK.
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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:||Monograph (Technical Report)|
|Subjects:||Q Science > QA Mathematics > QA75 Electronic computers. Computer science|
|Divisions:||Faculty of Science > Computer Science|
|Depositing User:||Mr Ebrahim Ardeshir|
|Date Deposited:||21 Dec 2011 10:34|
|Last Modified:||01 Nov 2012 18:06|
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