4 December 2000 Generalized Haar wavelets and frames
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Abstract
Generalized Haar wavelets were introduced in connection with the problem of detecting specific periodic components in noisy signals. We showed that the non-normalized continuous wavelet transform of a periodic function taken with respect to a generalized Haar wavelet is periodic in time as well as in scale, and that generalized Haar wavelets are the only bounded functions with this property.
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Goetz E. Pfander, "Generalized Haar wavelets and frames", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); doi: 10.1117/12.408641; https://doi.org/10.1117/12.408641
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