分数波包变换

1996 IEEE Digital Signal Processing Workshop Proceedings Pub Date : 1996-09-01 DOI:10.1109/DSPWS.1996.555549

Ying Huang, B. Suter

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引用次数: 24

摘要

短时傅里叶变换(STFT)，又称加窗傅里叶变换，是信号处理中应用最广泛的方法。在分数阶傅里叶变换(FRFT)和波包变换(WPT)思想的基础上，引入分数阶波包变换(FRWPT)的概念。我们给出了FRWPT的恒等分辨和一些与FRFT和WPT相关的性质。

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Fractional wave packet transform

The short-time Fourier transform (STFT), or windowed Fourier transform, is the most widely used method in signal processing. We introduce the concept of the fractional wave packet transform (FRWPT), based on the idea of the fractional Fourier transform (FRFT) and wave packet transform (WPT). We show a version of the resolution of the identity and some properties of FRWPT connected with those of the FRFT and WPT.

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1996 IEEE Digital Signal Processing Workshop Proceedings

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