Problem 3 Consider The Channel Y X 2 Where X 0 2 And Z Is Uniformly Distributed And Given As F 3 0 Szs2 Lo O 1 (8.24 KiB) Viewed 28 times
Problem 3 Consider The Channel Y X 2 Where X 0 2 And Z Is Uniformly Distributed And Given As F 3 0 Szs2 Lo O 2 (29.06 KiB) Viewed 28 times
Problem 3: Consider the channel y = x + 2 where X € (0,2) and Z is uniformly distributed and given as f(3) = 0 SZs2 lo otherwise
ii. Compute the channel capacity by computing H(Y) - H(Y|X) h[Y|X] = h[Z] If X = 0 → Y € (0,2] If X = 2 → Y € [2, 4] 1 f(Y) = Y 6 [0, 4] ,E h(Y) = 6*** log(4)dy = 2 bits I[X;Y] = 2 - 1 = 1 bit
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