Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

机译：小波基希尔伯特变换对的构造及最优时频定位

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We propose a novel method of constructing exact Hilbert transform (HT) pairs of wavelet bases using fractional B- splines and state necessary and sufficient conditions for generating such wavelet pairs. In particular, we demonstrate how HT pairs of biorth

机译：我们提出了一种使用分数B样条和状态生成充分小波对的必要和充分条件构造精确的小波基数的希尔伯特变换（HT）对的新方法。特别是，我们演示了HT对生物

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《Personal, Indoor and Mobile Radio Communications,2005 IEEE 16th International Symposium on》|2008年|P.3277-3280|共4页
会议地点 Las Vegas,NV
作者
Chaudhury; K.N.; Unser; M.;
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Hilbert transforms; splines (mathematics); time-frequency analysis; wavelet transforms; Hilbert transform pair construction; Riesz bound; analytic Gabor-like wavelets; fractional B-splines; optimal time-frequency localization; wavelet bases; well-localized scaling;

机译：希尔伯特变换；花键（数学）；时频分析；小波变换希尔伯特变换对构造；里斯（Riesz）解析Gabor型小波；分数B样条；最佳时频定位；小波基局部缩放;

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机译：Hilbert变换对小波基的构造及最优时频定位

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

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