FFT-based computation of shift invariant analytic wavelet transform

H. Olkkonen, Juuso Olkkonen, P. Pesola

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

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
Original languageEnglish
Pages (from-to)177-180
JournalIEEE Signal Processing Letters
Volume14
Issue number3
DOIs
Publication statusPublished - 2007
MoE publication typeA1 Journal article-refereed

Fingerprint

Fast Fourier transform
Fast Fourier transforms
Wavelet transforms
Wavelet Transform
Analytic Signal
Invariant
Aliasing
Wavelet Coefficients
Microprocessor
Digital filters
Quadrature
Microprocessor chips
Mirror
Chip
Transform
Filter
Energy

Keywords

  • fast Fourier transform
  • 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
  • wavelet transform

Cite this

Olkkonen, H. ; Olkkonen, Juuso ; Pesola, P. / FFT-based computation of shift invariant analytic wavelet transform. In: IEEE Signal Processing Letters. 2007 ; Vol. 14, No. 3. pp. 177-180.
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FFT-based computation of shift invariant analytic wavelet transform. / Olkkonen, H.; Olkkonen, Juuso; Pesola, P.

In: IEEE Signal Processing Letters, Vol. 14, No. 3, 2007, p. 177-180.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - FFT-based computation of shift invariant analytic wavelet transform

AU - Olkkonen, H.

AU - Olkkonen, Juuso

AU - Pesola, P.

PY - 2007

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N2 - 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

AB - 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

KW - fast Fourier transform

KW - linear phase filters

KW - quadrature mirror filters

KW - signal reconstruction

KW - wavelet transforms

KW - FFT-based computation

KW - QMF

KW - VLSI

KW - decimated analytic wavelet

KW - linear phase quadrature mirror filter

KW - microprocessor

KW - shift invariant

KW - wavelet transform

U2 - 10.1109/LSP.2006.879983

DO - 10.1109/LSP.2006.879983

M3 - Article

VL - 14

SP - 177

EP - 180

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

SN - 1070-9908

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ER -