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Abstract A formula for calculating moments for wavelet packets is derived and a sufficient condition for moments of wavelet packets to be vanishing is obtained. Also, the convolution and cross-correlation… Click to show full abstract
Abstract A formula for calculating moments for wavelet packets is derived and a sufficient condition for moments of wavelet packets to be vanishing is obtained. Also, the convolution and cross-correlation theorems for Hilbert transform of wavelets are proved. Finally, using MRA of L 2 ( R ) , some results on the vanishing moments of the scaling functions, wavelets and their convolution in two dimension are given.
Keywords:
wavelet packets;
vanishing moments;
cross correlation;
results vanishing;
convolution cross;
moments wavelet
Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2019
Link to full text (if available)
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Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!