1998•Birkhäuser Boston eBooksRequires access

Continuous Wavelet and Gabor Transforms

Anthony Teolis

Abstract

The continuous wavelet transform (CWT) as well as the continuous Gabor transform (CGT) (also known as the short-time Fourier transform) and their inverses are presented in this chapter. Both the CGT and the CWT take a one-dimensional time signal to a two-dimensional function of time and frequency. As such, they both seek to extract the time-frequency characteristics of the one-dimensional signal.

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Key concepts: Gabor transform, Continuous wavelet transform, Gabor wavelet, S transform, Constant Q transform, Harmonic wavelet transform, Short-time Fourier transform, Fourier transform