Chirplet变换及其推广

英文篇名：Chirplet transform and its extension
中文刊名：合肥工业大学学报(自然科学版)
英文刊名：Journal of Hefei University of Technology(Natural Science)
作者：邱剑锋 ; 谢娟 ; 汪继文 ; 高清维
英文作者：QIU Jian-feng1 ; XIE Juan2 ; WANG Ji-wen1 ; GAO Qing-wei3(1.School of Computer Science and Technology ; Anhui University ; Hefei 230039 ; China ; 2.Dept.of Mathematics & Physics ; Anhui University of Architecture & Industry ; Hefei 230022 ; China ; 3.School of Electronic Science and Technology ; Anhui University ; Hefei 230039 ; China)
中文关键词：小波变换 ; 傅里叶变换 ; 线调频Chirplet变换 ; 瞬时频率
英文关键词：wavelet transform ; Fourier transform ; Chirplet transform ; instantaneous frequency
出版日期：2007-12-28
机构：安徽大学计算机科学与技术学院,安徽建筑工业学院数理系,安徽大学计算机科学与技术学院,安徽大学电子科学与技术学院安徽合肥230039,安徽合肥230022,安徽合肥230039,安徽合肥230039
年：2007
期：12
出版单位：合肥工业大学学报(自然科学版)

摘要

线调频Chirplet变换是一种新的线性时频分析方法。文章在介绍线调频Chirplet变换的基础上,比较了短时傅里叶变换STFT、连续小波变换CWT和Chirplet变换在瞬时频率计算方面的优缺点。对二次调频Chirplet变换做了介绍,在线调频Chirplet变换和二次调频Chirplet变换的基础上,修改了核函数,对Chir-plet变换做了一定的改进,在一定程度上提高了某一类信号在时频域的分辨率。针对修改后的变换给出了一些算例,并给出了在石油勘探开发中利用改进后的Chirplet变换对沉积旋回信号进行分析的一些初步应用。
Chirplet transform is a new method for analysis of linear time-frequency.The traditional Chirplet transform is introduced and the merit and disadvantage of the Chirplet transform,STFT transform and CWT transform in computing instantaneous frequency are discussed.The quadratic Chirplet transform is also introduced.Based on the traditional Chirplet transform and the quadratic Chirplet transform,a modified Chirplet transform is obtained by modifying the kernel function in order to improve the resolution of some signals in the time-frequency domain.Some experimental tests on the modified Chirplet transform are made,and an application to analysis of signals of sedimentary cycles in petroleum prospecting and development is presented.

引文

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