【摘要】 利用连续及离散小波变换分析、识别和模拟随机过程并将其特征化。通过小波变换将随机过程转换成局域化正交基函数,这提供了一种方便的方法去模拟、分析和仿真非稳态过程。通过利用小波变换的时域和频域分析,使得通过时-频图得到瞬间信号的特征成为可能,而传统方法却做不到。在小波分析发展的不长的历史中,研究者发现在许多领域都可以应用。该文简要讨论了利用连续和离散小波变换分析数学信号的发展现状,同时介绍了一些识别和特征化地震工程中瞬时随机过程的方法。更多还原

【Abstract】 The continuous and scattering wavelet transformation is used to analyze,identify and simulate the stochastic process,and make it be characterized.The wavelet transformation is used to transform the stochastic process into a localized orthogonal basis function,which can provide a convenient method to simulate,analyze and emulate an unstable state process.The time domain and frequency domain of wavelet transformation are analyzed to make the character of instant signal given by time-frequency chart become possible,but the traditional method can not do it.The wavelet analysis is found able to apply in many domains in the short history of its development.The article briefly discusses the application of the continuous and scattering wavelet transformation to analyze the development status of mathematical signal,and also introduces some methods to identify and characterize the instant stochastic process of earthquake engineering.更多还原