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Homework_7_2007

# Homework_7_2007 - ECE 154B Homework#7 Due 1 Consider the...

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ECE 154B Homework #7 Due March 14, 2007 1. Consider the transmission of two FSK sinusoidal signals whose frequencies are chosen such that the signals are orthogonal. Let the amplitude of each signal be A, the duration of each signal be T, and the energy of each signal be E = A 2 T/2. Make the usual assumptions (AWGN, equal a priori probabilities, etc). If the phases of the two sinusoids are unknown at the receiver, we know to use a non-coherent receiver. As was shown in class, the probability of binary error for this receiver is: P[binary error] = ½ exp[-A 2 T/4N 0 ] = ½ exp[-E/2N 0 ]. (a) Assume that A is a fixed constant. Give an expression for the probability of error in a byte consisting of 8 binary digits. (b) Assume that A takes on the value A 1 and A 2 with probabilities p and 1-p respectively. Calculate the average probability of error per binary digit. (c) Again assume that A takes on the value A 1 and A 2 with probabilities p and 1-p respectively. For the two cases described below, calculate the average probability of error per byte.

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Homework_7_2007 - ECE 154B Homework#7 Due 1 Consider the...

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