ECE 4601 Midterm: ECE 4601 GT Exam15
15 Feb 2019
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Aids allowed: 2 8 1/2 x11 crib sheets, calculator. Math tables are attached at the end of this exam. You do not need to turn them in. 1: random processes: suppose that a wide-sense stationary gaussian random process x(t) is input to the lter shown below. Y(t: (4 points) find the power spectral density of the output random process. 4: signal space and error probability: consider the two octal signal point con- stellations shown in the gure below. Assume the signal points are used with equal probability. r b o. 8-qam: (3 points) each of the four inner constellation points in the 8-qam signal constellation have 4 nearest neighbours at distance a. Determine the radii a and b of the inner and outer circles: (3 points) the nearest neighbour signal points in the 8-psk signal con- stellation are separated by a distance of a units.
