I am working on speech enhancement and I want to compare the phase and magnitude between two signals. I compute the STFT for both, and comparing the magnitudes is easy via mean-squared error or some other metric. However, for the phase, there seems to be no precedent in the literature for how to check if the two phases are close or distant. I have looked into it quite a bit but there doesn't seem to be a consensus on how to measure the distance between phases in this context. Any help would be greatly appreciated.