An overall theoretical description of frequency slice wavelet transform
An overall theoretical description of frequency slice wavelet transform
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DOI：
10.1016/j.ymssp.2009.07.002
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发表时间：
2010-02-01
影响因子：
8.4
通讯作者：
Liu, Xinglong
中科院分区：
文献类型：
--
作者：
Yan, Zhonghong;Miyamoto, Ayaho;Liu, Xinglong
本文全面描述了一种新的时频信号分析方法，称为频率切片小波变换（FSWT）。下面介绍了 FSWT 的 5 个新性质：(1) 与小波变换 (WT) 相比，时频窗口的中心是观测中心。(2) FSWT 可以通过被测信号的频率分辨率来控制。(3) 原始信号可以在频率切片函数 (FSF) 上进行分解：理论上也可以通过无限相关函数 (CF) 进行重建。 与自由软件基金会。同时，FSWT还有许多与FSF的选择没有直接关系的重建程序。此外，还提出了FSWT的几种有用的嬗变。(4)FSF可以非常自由地设计，并且可以保证在时域和频域上具有完美的对称性。(5)FSWT比WT方法具有更高的抗噪声性能。同时，本文还揭示了与WT方法的理论比较。然后用一些典型的例子来证明这些事实。 Crown 版权所有 (C) 2009 由 Elsevier Ltd 出版。保留所有权利。
This paper presents an overall description of a new time-frequency signal analysis method, called frequency slice wavelet transform (FSWT). Five new properties of the FSWT are introduced as follows.(1) The center of time-frequency window is the observing center in contrast to the wavelet transform (WT).(2) FSWT can be controlled by the frequency resolution ratio of the measured signal.(3) The original signal can be decomposed on a frequency slice function (FSF): theoretically, it can also be rebuilt by infinite correlation function (CF) with the FSF. At the same time, FSWT has many reconstructive procedures that are not directly related to the choice of the FSF. Furthermore, several useful transmutations for FSWT are proposed.(4) The FSF can be designed very freely and can be ensured to have perfect symmetry in time and frequency domains.(5) The FSWT has higher performance against noise than the WT.Meanwhile, this paper reveals the theoretical comparisons with the WT method. Then some typical examples are used to demonstrate these facts. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.