Abstract :
The authors give an overview of the continuous and oversampled wavelet transform. They discuss how, by sampling the continuous wavelet transform, orthonormal wavelet bases can be obtained. Multiresolution analysis, as a framework for studying wavelet bases, is also presented. Finally, the authors deal with discrete-time wavelet representations, filter banks, and fast algorithms.
Keywords :
"Discrete wavelet transforms","Fourier transforms","Signal processing algorithms","Signal processing","Time frequency analysis","Continuous wavelet transforms","Wavelet analysis","Multiresolution analysis","Application software","Numerical analysis"