The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms
In continuous-time wavelet analysis, most wavelet presents 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.