Title :
FFT-Based Computation of Shift Invariant Analytic Wavelet Transform
Author :
Olkkonen, Hannu ; Olkkonen, Juuso T. ; Pesola, Peitsa
Author_Institution :
Dept. of Phys., Kuopio Univ.
fDate :
3/1/2007 12:00:00 AM
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.879983
