E 6712 : Homework 1 - Solution Prepared
نویسنده
چکیده
(a) Evaluate analytically the error probability performance of an optimal receiver for N = 1 and m ∈ {1, 2, 3, 4, 5, 6}, and for N = 4 and m ∈ {1, 2, 3, 4, 5, 6}. Plot the error probability v.s. m on a single graph for both N = 1 and N = 4. using the logarithmic scale for the error probability axis. (b) Write a computer program (see the note below) to evaluate by simulation the error probability performance for the same parameters as in a). Plot the results on the same graph as for a) for comparison. (c) Compute the Chernoff bound on the probability of error evaluated analytically in a) and by simulation in b), and plot on the same graph as for a) and b).
منابع مشابه
E 2 201 : Information Theory ( 2015 ) Solution to Homework 6 Prepared by : Himanshu Tyagi
(b) Let PX(1) = p = 1−PX(0). Then I(X∧Y ) = H(Y )−H(Y |X) = h(p2)−p. Differentiation yields that I(X ∧ Y ) is maximized by p = 2e−2 1+e−2 . Hence, the maximizing input pmf on {0, 1} is ( 1−e−2 1+e−2 , 2e−2 1+e−2 ) and C = h ( e−2 1+e−2 ) − 2e−2 1+e−2 bits/channel use. ∗Q2,3,4,6,7 and their solutions are from the Information Theory course taught by Prof. Prakash Narayan at the University of Mary...
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