当前位置: X-MOL 学术IEEE Trans. Signal Process. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Novel Short-Time Fractional Fourier Transform: Theory, Implementation, and Applications
IEEE Transactions on Signal Processing ( IF 5.4 ) Pub Date : 2020-01-01 , DOI: 10.1109/tsp.2020.2992865
Jun Shi , Jiabin Zheng , Xiaoping Liu , Wei Xiang , Qinyu Zhang

As a generalization of the classical Fourier transform (FT), the fractional Fourier transform (FRFT) has proven to be a powerful tool for signal processing and analysis. However, it is not suitable for processing signals whose fractional frequencies vary with time due to a lack of time localization information. A simple method to overcome this limitation is the short-time FRFT (STFRFT). There exist several different definitions of the STFRFT in the literature. Unfortunately, these existing definitions do not well generalize the classical result of the conventional short-time FT (STFT), which can be interpreted as a bank of FT-domain filters. The objective of this paper is to propose a novel STFRFT that preserves the properties of the conventional STFT and can be implemented easily in terms of FRFT-domain filter banks. We first present the novel STFRFT and then derive its inverse transform and basic properties. The time-fractional-frequency analysis of this transform is also presented. Moreover, the implementation of the proposed STFRFT is discussed. Finally, we provide several applications for the proposed STFRFT.

中文翻译:

新型短时分数傅立叶变换:理论、实现和应用

作为经典傅里叶变换 (FT) 的推广,分数傅里叶变换 (FRFT) 已被证明是信号处理和分析的强大工具。然而,由于缺乏时间定位信息,它不适合处理分数频率随时间变化的信号。克服此限制的一种简单方法是短时 FRFT (STFRFT)。文献中存在几种不同的 STFRFT 定义。不幸的是,这些现有定义不能很好地概括传统短时 FT (STFT) 的经典结果,它可以解释为一组 FT 域滤波器。本文的目的是提出一种新颖的 STFRFT,它保留了传统 STFT 的特性,并且可以在 FRFT 域滤波器组方面轻松实现。我们首先介绍新颖的 STFRFT,然后推导出它的逆变换和基本属性。还介绍了该变换的时间-分数-频率分析。此外,还讨论了建议的 STFRFT 的实施。最后,我们为所提出的 STFRFT 提供了几种应用。
更新日期:2020-01-01
down
wechat
bug