Characterization of Multiwavelet Packets in L2 (Rd)

Authors

  • Firdous Ahmad Shah
  • Khalil Ahmad

Keywords:

Multiwavelet, multiwavelet packets, affine frame, quasi affine frame, dilation matrix.

Abstract

Orthogonal multiwavelet packets are based on several scaling functions and several wavelets. They allow properties like regularity, orthogonality and symmetry being impossible in the single wavelet case. In this paper, we establish a complete characterization of multiwavelet packets for arbitrary dilation matrices by means of basic equations in Fourier domain.

Key words and phrases. Multiwavelet, multiwavelet packets, affine frame, quasi affine frame, dilation matrix.

2000 Mathematics Subject Classification. 42C15, 42C40

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Published

2025-05-18

How to Cite

Firdous Ahmad Shah, & Khalil Ahmad. (2025). Characterization of Multiwavelet Packets in L2 (Rd). Jordan Journal of Mathematics and Statistics, 3(3), 159–180. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1176

Issue

Vol. 3 No. 3 (2010)

Section

Articles