EECS 229A * Solutions to Homework 7 1. Problem 11.6 on pg. 401 of the text. Solution: Biased estimates may be better
Spring 2007 *
The notation used in this problem is awed. The estimator in (11.319) based on n samples is not the same as the estimator in
EECS 229A * Solutions for Homework 6
Spring 2007 *
1. We are given a set of k parallel independent additive Gaussian noise channels with noise variances N1 , . . . , Nk respectively. A single transmitter is permitted to communicate to a single receiver ov
EECS 229A * Solutions to Homework 5 1. Problem 8.8 on pg. 258 of the text. Solution: Channel with uniformly distributed noise Consider the probability distribution (i , i = 0, 1, 2) on X where results in Y having a density
1 2 2 1 2 (2 + 1 ) 1 2 (1 + 0
EECS 229A * Homework 2 solutions 1. Problem 2.48 on pg. 54 of the text. Solution: Sequence length
Spring 2007 *
(a) Since N is a deterministic function of X N , we have I (N ; X N ) = H (N ) H (N | X N ) = H (N ). Since P (N = k ) = 2k for k 1, we have
H
EECS 229A * Homework 1 solutions.
Spring 2007 *
1. (a) Determine the entropy of the following probability distributions on a set of size 3 : 111 1 4 89 1 173 p = ( , , ) , q = ( ,0 , ) , r = ( , , ). 623 5 5 450 30 225 (b) Notice that r is a convex combin