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Homework_4_2007 - (b Calculate the conditional probability...

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ECE 154B Homework #4 Due: February 12, 2007 1. Problem 8.1 from Ziemer and Tranter 2. Problem 8.12 from Ziemer and Tranter 3. Problem 8.13 from Ziemer and Tranter 4. Problem 8.17 from Ziemer and Tranter (Assume M=2 2m , m an integer) 5. Problem 8.1 from Ziemer and Tranter’s Computer Exercises 6. Assume an M=5 signaling system with the following 5 signals: S 0 (t) = 0 S 1 (t) = K s(t) S 2 (t) = -K s(t) S 3 (t) = K σ (t) S 4 (t) = -K σ (t) Assume s(t) and σ (t) are of duration T, have equal energy and are orthogonal. Assume AWGN and equally likely signals. (a) Calculate the average energy per symbol, E s , for the 5 symbols.
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Unformatted text preview: (b) Calculate the conditional probability of symbol error, conditioned on the i th signal being transmitted for i = 0, 1, 2, 3, and 4. In each case express your answer in terms of E b /N . (c) Calculate the average probability of symbol error, P s . Again express your answer in terms of E b /N . Note: If you think real hard you will be able to get an exact expression for P[symbol error|s i (t) was transmitted] for i=1, 2, 3, and 4. If you can’t, get an upper bound and a lower bound for these probabilities and for P s ....
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