When USRP down convert the passband signal, does it perform phase estimation?
Or in other words, does the phase of the sin wave from the local oscillator
lock to the phase of the incoming signal? 

Phase is needed in coherent demodulation. I just want to know where it is
performed in the USRP and GNU radio. I conjecture that the USRP does not
estimate the phase and the demodulator does phase estimation, for example,
in gr_mpsk_receiver_cc. But I am not sure.


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