摘要
提出了建立信号变换统一数学模型的设想,阐述了这一设想的意义;提出了域参变量、域参函数等概念;探索并建立了傅里叶变换（短时傅里叶变换）与小波变换统一数学模型的普通形式和广义形式,绘出了统一数学模型的流程图,给出了统一数学模型的物理意义;给出了傅里叶变换、短时傅里叶变换与小波变换在统一数学模型中的各参量和参变函数的取值。
The uniform mathematics model of these transforms is founded. The meanings of this suggestion are expatiated. Some concepts, such as domain parameter variance and domain parameter variance function, are introduced. The common and broad form of the uniform mathematics model of the Fouriertransform (the short time Fourier transform), and the wavelet transform is explored and founded. The flow chart and the meanings of the model are given. The values of the parameter and parameter functions of the Fourier transform, the short time Fourier transform, and the wavelet transform in the uniform mathematics model are given.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2002年第11期36-41,共6页
Journal of Mechanical Engineering
基金
国家自然科学基金重点资助项目(50135050)。
