5. Communication System Parameters [12 points] Consider the following communication system with constellation with 16 points in 16 dimensions as given in Question 1.5 (second set) of Chapter 1 of the

textbook. The modulation is with the orthonormal waveforms given by (t)= Po(t-nT), for n=1,2,3,..., 15, and po(t) is the squarcroot raised cosine pulse with T = 0.0001 and a=0.5. Find the following parameters of the system: • Energy per bit Es • Rate R • Power P, Bandwidth W. The second set is attached below./nA second signal set with M = 16 signals in 16 dimensions that can transmit 4 bits of information has the following signals: So = A(+1, +1, +1, +1, +1, +1, +1, +1, +1, +1, +1, +1, +1, +1, +1, +1) $₁ = A(+1,-1, +1, −1, +1, −1, +1, −1, +1, −1, +1, −1, +1,-1, +1, -1) $₂ = A(+1, +1,-1, −1, +1, +1, −1, −1, +1, +1, − 1, −1, +1, +1,-1,-1) $3 = A(+1,-1,-1, +1, +1, −1, −1, +1, +1, −1, −1, +1, +1,-1,-1, +1) $4 = A(+1, +1, +1, +1, −1, −1, −1, −1, +1, +1, +1, +1, −1, −1, −1, −1) $5 = A(+1,-1, +1, −1, −1, +1, −1, +1, +1, −1, +1, −1, −1, +1, −1, +1) S6 = A(+1, +1,-1, −1, −1, −1, +1, +1, +1, +1, −1, −1, −1, −1, +1, +1) $7 = A(+1,-1,-1, +1, −1, +1, +1, −1, +1, −1, −1, +1, −1, +1, +1, −1) $g = A(+1, +1, +1, +1, +1, +1, +1, +1, −1, −1, −1, -1,-1,-1,-1,-1) $9 = A(+1,-1, +1, −1, +1, −1, +1, −1, −1, +1, −1, +1,-1, +1,-1, +1) S10 = A(+1, +1,−1, −1, +1, +1, −1, −1, −1, −1, +1, +1, −1, −1, +1, +1) S11 = A(+1,-1, −1, +1, +1, −1, −1, +1, −1, +1, +1, −1, −1, +1, +1, -1) $12 = A(+1, +1, +1, +1, −1, −1, −1, −1, −1, −1, −1, −1, +1, +1, +1, +1) S13 = A(+1,-1, +1, −1, −1, +1, −1, +1, −1, +1, −1, +1, +1, −1, +1, -1) S14 = A(+1, +1,−1, −1, −1, −1, +1, +1, −1, −1, +1, +1, +1, +1, −1, −1) S15 = A(+1,-1,-1, +1, −1, +1, +1, −1, −1, +1, +1, −1, +1, −1, −1, +1)