Local Sampling for Regular Wavelet and Gabor Expansions
نویسنده
چکیده
The local behavior of regular wavelet sampling expansions is quantified. The term “regular” refers to the decay properties of scaling functions φ of a given multiresolution analysis. The regularity of the sampling function corresponding to φ is proved. This regularity is used to determine small intervals of sampling points so that the sampled values of a signal f at this finite set of points gives rise to a sampling expansion approximating f to within a predetermined margin of error.
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تاریخ انتشار 2003