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Determine phase shift in quadrature signal using complex FFT and not two "real" FFTs.

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Terminator3

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Determine phase shift in quadrature signal using complex FFT and not two "real" FFTs.

Hello! I was able to do this such way:
"real" FFT of signal 1
"real " FFT of signal 2
do ATAN2 of each output and calculate difference.

It works okay, but i wonder can it be implemented using one FFT with complex imput? There are negative frequencies, but how i can do ATAN of complex-valued signal FFT output?

Thanks for reading!
 

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