|
Abstract: 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 Fourier transform (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.
Key words: Uniform mathematics model Domain parameter variable
Domain parameter function Transform function
CLC No: TH115
国家自然科学基金重点资助项目(50135050). Received 20010704, received in revised form
20020520
|