The Features of a Sort of Five-Variant Wavelet Packet Bases in Sobolev Space
نویسندگان
چکیده
Wavelet packets have been the focus of active research for twenty years, both in theory and applications. In this work, the notion of orthogonal nonseparable five-variantl wavelet packets is introduced. A new approach for de-signing them is presented by iteration method. We proved that the fivevariant wavelet packets are of the orthogonality trait. We give three orthogonality formulas regarding the wavelet packets. We show how to construct nonseparable five-variant wavelet packet bases. The orthogonal fivedimensional wavelet packets may have arbitrayily high regularities.
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