An Introduction to Wavelet Theory and Analysis | Zendy

Nadine E. Miner | Zendy

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An Introduction to Wavelet Theory and Analysis

Author(s) -

Nadine E. Miner

Publication year - 1998

Language(s) - English

Resource type - Reports

DOI - 10.2172/1896

Subject(s) - wavelet , discrete wavelet transform , second generation wavelet transform , harmonic wavelet transform , stationary wavelet transform , wavelet packet decomposition , wavelet transform , lifting scheme , cascade algorithm , terminology , algorithm , computer science , mathematics , fourier analysis , fourier transform , calculus (dental) , pattern recognition (psychology) , theoretical computer science , artificial intelligence , mathematical analysis , linguistics , philosophy , medicine , dentistry

This report reviews the history, theory and mathematics of wavelet analysis. Examination of the Fourier Transform and Short-time Fourier Transform methods provides tiormation about the evolution of the wavelet analysis technique. This overview is intended to provide readers with a basic understanding of wavelet analysis, define common wavelet terminology and describe wavelet amdysis algorithms. The most common algorithms for performing efficient, discrete wavelet transforms for signal analysis and inverse discrete wavelet transforms for signal reconstruction are presented. This report is intended to be approachable by non- mathematicians, although a basic understanding of engineering mathematics is necessary

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