A numerical signal must be sent by 4-QAM modulation, using pulses with g (t) form of Nyquist, roll-off 0.5:
st (t) = ak · g (t - kTb) cos (2πf0t + φ) + bk · g (t - kTb) sin (2πf0t + φ) k
in an ideal transmission medium without attenuation. In reception, a white noise is added with a unit variance.
1. The power to be transferred is calculated to obtain an error probability of 0.001, and the result is verified by simulating the whole system with Matlab.
2. Write the equivalent baseband model and verify with Matlab that the same results are obtained.
3. A phase error is introduced in the reception Siφ Evaluate what can be valid to maintain the probability that an error occurs within 0.01, verifying the result with Matlab.
4. We introduce a causal phase error between 0 and 2π. We study in a way to reconstruct the phase starting from the received signal. Hint: if the symbols have phase exp (jnπ / 4), what happens raising them to the fourth power? How accurately can you reconstruct the phase?
You must solve all the points accurately and giving the reason why you chose that answer.
I'll give more informations about the problem privately.
Better if italian.
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