Abstract

The aim of this paper is to study wavelet frame packets in which there are many frames. It is a generalization of wavelet packets. We derive few results on wavelet frame packets and have obtained the corresponding frame bounds.

Highlights

  • { } Let us consider an orthonormal wavelet of L2 ( )

  • { } The main tool used in the construction of wavelet packets is the splitting trick [10]

  • Efficient algorithms for finding the best possible basis do exist; for certain wavelet applications in signal analysis, frames are more suitable than orthonormal bases, due to the redundancy in frames

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Summary

Introduction

{ } Let us consider an orthonormal wavelet of L2 ( ) . (2014) Some Results on Wavelet Frame Packets. K. Ahmad wavelet packets [7] and non-orthogonal wavelet packets with r-scaling functions [8]. { } The main tool used in the construction of wavelet packets is the splitting trick [10].

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