The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms

Luciana R. Soares, Hélio de Oliveira, Renato Cintra

DOI: 10.14209/sbrt.2005.1182

Evento: XXII Simpósio Brasileiro de Telecomunicações (SBrT2005)

Keywords: Wavelet design Hilbert transform Fourier transform kernel Hartley transform kernel Fourier-like wavelets Analytic wavelets Hartley-like wavelets Continuoustime Wavelet transform

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.

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