The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms
arXiv:1502.02049
Abstract
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.
7 pages, 10 figures, Anais do XXII Simpósio Brasileiro de Telecomunicações, Campinas, 2005