FSK coherent demodulation in Rayleigh Fading Channel

We know coherent and noncoherent FSK demodulation can be done by using
correlator and energy detector.
In Fading channel case with noncoherent demodulation, we can use the
energy detector.
But in coherent case, how could we use the channel state information
to detect signal.....

BFSK:
h is the channel fading...x is the transmitted signal...n# is noise in
channel#
rx1 = hx + n1
rx2 = n2
decision rule in noncoherent case is norm(rx#), but in coherent case?

On Jul 15, 8:01 am, chaselweng <jianjiaw...@gmail.com> wrote:
> We know coherent and noncoherent FSK demodulation can be done by using
> correlator and energy detector.
> In Fading channel case with noncoherent demodulation, we can use the
> energy detector.
> But in coherent case, how could we use the channel state information
> to detect signal.....
>
> BFSK:
> h is the channel fading...x is the transmitted signal...n# is noise in
> channel#
> rx1 = hx + n1
> rx2 = n2
> decision rule in noncoherent case is norm(rx#), but in coherent case?

Your question is vague without an actual channel model.
What is your channel model?
What does the channel state information convey exactly?

Julius