An obsolete 2400 bps modem uses qam see problem 834 to

Question

An obsolete 2400 bps modem uses QAM (see Problem 8.3.4) to transmit one of 16 symbols, s₀,...,s₁₅, every 1/600 seconds. When signal s_i is transmitted, the receiver output is

(a) Sketch the acceptance sets based on the receiver outputs X₁, X₂

(b) Let H_i be the event that symbol s_i was transmitted and let C be the event that the correct symbol is decoded. What is P[C|H₁]?

(c) Argue that P[C] ≥ P[C|H₁].