CONSTRUCTION OF SHIFT INVARIANT M-BAND TIGHT FRAMELET PACKETS

CONSTRUCTION OF SHIFT INVARIANT M-BAND TIGHT
FRAMELET PACKETS

FIRDOUS A. SHAH

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Abstract

Framelets and their promising features in applications have attracted a great deal of interest and eort in recent years. In this paper, we outline a method for constructing shift invariant M-band tight framelet packets by recursively decomposing the multiresolution space VJ for a xed scale J to level 0 with any combined mask m = [m0;m1; : : : ;mL] satisfying some mild conditions.

Keywords

M-band wavelets; tight wavelet frame; framelet packet; extension principle; shift invariant; Fourier transform.