Wavelet transformation based railroad frequency shift signal analysis

Fourier analysis is a mathematical technique for transforming our view of the signal from a time based one to a frequency based one. But in transforming to the frequency domain, the time information is lost. When looking at a Fourier transform of a signal, it is impossible to tell when a particular event took place. Wavelets can afford the ability to perform local analysis — that is, to analyze a localized area of a larger signal. Based on the time frequency localization character of wavelet transform, this paper presents the analysis method of railroad frequency shift signal. And with the help of FFT, a success example is given in this paper.