Relations of FM^mlet Transform to Some Integral Transforms  

作　　者：ZOUHongxing DAIQionghai WANGDianjun LIYanda 

机构地区：[1]DepartmentofAutomation,TsinghuaUniversity,Beijing100084,China [2]DepartmentofMathematicalSciences,TsinghuaUniversity,Beijing100084,China

出　　处：《Chinese Journal of Electronics》2004年第2期278-282,共5页电子学报（英文版）

摘　　要：In this paper, we explore the relationships between FM^mlet transform and some of the existing integral transforms, namely, the chirplet transform, dispersion transform, wavelet transform, chirp-Fourier transform, Short-time fourier transform (STFT), Gabor transform, Fourier transform, cosine transform, sine transform,Hartley transform, Laplace transform, z-transform, Mellintransform, Hilbert transform, autocorrelation function,cross-correlation function, energy, and the mean value.It is shown that all of these transforms are subspaces of FMmlet transform with specific parameters.

关 键 词：积分变换 子空间 信号表示法 调频变换 STFT 

分 类 号：O177.6[理学—数学]