New Tools For The Analysis Of Time Series When Frequency Changes With Time

 

Nonstationary analysis, Instantaneous frequency, Instantaneous spectrum, Euler processes, -processes


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Time varying frequencies are quite common in speech, biological data, geophysical processes and so on. Traditional Fourier analysis under the assumption of stationarity may not be applicable to these processes since the frequency content is evolving over time. The idea of time deformation is expanded to transform the time axis to a scale upon which these types of non-stationary processes are stationary.                                     

                                       

 

 

 


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