Hi,
If the signal transmitted at the transmitter is represented as,
x(t) = X_i(t)cos(2*pi*fc*t) - X_q(t)sin(2*pi*fc*t), where X_i(t) and X_q(t)
are inphase and quadrature components of the message signal.

then, at the receiver does the following equation correctly represent the
signal after downcoversion to baseband like in a "RFX2400 + USRP' set up.

inphase component of received signal = X_i(t)cos(2*pi*f_offset*t + phi )  +
noise_component
quadrature component of received signal = X_q(t)sin(2*pi*f_offset*t + phi) +
noise_component

where, 'f_offset' is the frequency offset present and 'phi' is the received
signal phase.

Can someone suggest a good reference to direct conversion receivers?

Thanks.
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