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arXiv 1502.02049math.CAmath.STphysics.data-anstat.APstat.MEstat.TH
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基于希尔伯特变换的类Fourier和类Hartley小波分析

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

L. R. Soares, H. M. de Oliveira, R. J. Cintra

摘要:

在连续时间小波分析中,大多数小波都具有某种对称性。基于Fourier和Hartley变换核,提出了一种新的小波多分辨率分析方法.这种方法基于一对正交小波函数,称为类Fourier-Like和Hartley-Like小波分析。文中还对小波理论进行了希尔伯特变换分析。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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