How to find phase shift and do phase shift correction between two signals in frequency domain?

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Minnie - 2021-12-21T11:42:30+00:00
Question: How to find phase shift and do phase shift correction between two signals in frequency domain?

I have 2 time domain signals collected from Terahertz Time Domain Spectroscopy (Reflection); reference and sample. I managed to find out the time delay between the two signals. And I thought by aligning the peak of two signals in time domain will correct the phase shift problem in frequency spectrum. But it does not seem to work this way. Therefore,I thought can explore the option of finding phase shift between the two signals in a particular frequency spectrum before correcting the phase shift.   Can someone kindly enlighten me how to find phase shift between the two signal in the frequency spectrum and how to correct phase shift in the frequency spectrum? Really any help will be deeply appreciated.  

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    • Expert Answer

    Profile picture of Kshitij Singh Kshitij Singh answered . 2025-11-20

    I had to look up Terahertz time-domain spectroscopy.
     
    You have not provided enough information to provide a specific response. Note that if your signal contains multiple frequencies, as the Wikipedia article appears to indicate, it may not be possible to get all the phase angles to zero.
    Since you mentioned analysing your signals in the frequency domain, I assume you are already familiar with the fft (link) function. Use the angle (link) function on the complex output of the fft to get the phase. You can use this utility function to convert angles going from 0 to ±pi to angles going from 0 to 2*pi. That could make the angle comparisons easier:
     
    Angles2pi = @(a) rem(2*pi+a, 2*pi);                      % For ‘atan2’
    Also consider using the unwrap  function.
     
    If you provide more information, we may be able to provide a more specific response.


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