This (Plus the required test bench) is not writable in 3 days, you might I suppose be able to pull it off if you use a whole load of pre written IP blocks but even then it is going to be marginal.
Any good book on software defined radio will show you the basics, and I think there was an application note from AD back in the day showing a FM Tx built using one of their DDS chips and a DSP, you basically implement that in a gate aray.
Do half of it, specifically the transmitter half, it is simpler, and maybe you will pick up a few marks, and talk to your tutor.
Google: Numerically controlled oscilator, cascaded integrator comb, interpolator.
Who sets a large project like this with a 3 day deadline? That seems harsh.
Regards, Dan.