← SBrT2005
The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms
Wavelet designHilbert transformFourier transform kernelHartley transform kernelFourier-like waveletsAnalytic waveletsHartley-like waveletsContinuoustimeWavelet transform
Resumo
In continuous-time wavelet analysis, most wavelet present some kind of symmetry. Based on the Fourier and Hartley transform kernels, a new wavelet multiresolution analysis is proposed. This approach is based on a pair of orthogonal wavelet functions and is named as the Fourier-like and Hartley-like wavelet analysis. A Hilbert transform analysis on the wavelet theory is also included.