FFT-Based Computation of Shift Invariant Analytic Wavelet Transform

Author

Olkkonen, Hannu ; Olkkonen, Juuso T. ; Pesola, Peitsa

Author_Institution

Dept. of Phys., Kuopio Univ.

Volume

14

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

177

Lastpage

180

Abstract

This letter introduces an analytic wavelet transform based on linear phase quadrature mirror filters (QMFs). The computation of the analytic signal and the reconstruction of the signal is carried by the fast Fourier transform (FFT)-based algorithm. The transform yields energy preserving and shift invariant decimated analytic wavelet coefficients, which are free of aliasing effects. The present method can be implemented in the microprocessor and VLSI environment using a commercial FFT chip

Keywords

fast Fourier transforms; linear phase filters; quadrature mirror filters; signal reconstruction; wavelet transforms; FFT-based computation; QMF; VLSI; decimated analytic wavelet; linear phase quadrature mirror filter; microprocessor; shift invariant; signal reconstruction; wavelet transform; Algorithm design and analysis; Fast Fourier transforms; Microprocessors; Mirrors; Nonlinear filters; Signal analysis; Very large scale integration; Wavelet analysis; Wavelet coefficients; Wavelet transforms; Analytic signal; VLSI; fast Fourier transform (FFT); quadrature mirror filter (QMF) wavelet transform;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2006.879983

Filename

4100655