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- W2138473335 abstract "A new concept of the A-wavelet transform is introduced, and the representation of the Fourier transform by the A-wavelet transform is described. Such a wavelet transform uses a fully scalable modulated window but not all possible shifts. A geometrical locus of frequency-time points for the A-wavelet transform is derived, and examples are given. The locus is considered optimal for the Fourier transform when a signal can be recovered by using only values of its wavelet transform defined on the locus. The inverse Fourier transform is also represented by the A/sup */-wavelet transform defined on specific points in the time-frequency plane. The concept of the A-wavelet transform can be extended for representation of other unitary transforms. Such an example for the Hartley transform is described, and the reconstruction formula is given." @default.
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- W2138473335 date "2005-07-01" @default.
- W2138473335 modified "2023-10-16" @default.
- W2138473335 title "Fourier transform representation by frequency-time wavelets" @default.
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- W2138473335 doi "https://doi.org/10.1109/tsp.2005.849180" @default.
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