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02-02-2007, 10:41 AM
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Wavelet Phase Spectra vs. Power Spectra
I'm using the continous wavelet transform for analysis of a time-serie
which I know contains activity in two known frequency regions. The powe spectra, |Ca,b|², seems to give no indication of what I suspect to find however the phase spectra, tan¯¹(Im(Ca,b)/Re(Ca,b)), very well show activity in the correct scales. What is going on? What physical meanin has a phase spectrum? I'm using the complex morlet wavelet. In classica Fourier analysis, the phase spectrums shows the phase of the correspondin frequency components. But I get confused when I think of this with th wavelets; they are actually translated across the timeseries and therefor they have all possible phases for each scale? I would really like a explaination. Thank you! 
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