# HW12 - ECE 302, Homework #12, Due 4/15...

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ECE 302, Homework #12, Due 4/15 http://www.ece.purdue.edu/ chihw/ECE302 09S.html Question 1: [Intermediate/Exam Level] Problem 5.94. Question 2: [Basic] Problem 5.112. Question 3: [Basic] Problem 5.114(a,b,d,f). You only need to print out your ﬁgures. There is no need to turn in your MATLAB codes. Question 4: [Basic] Problem 6.68. Question 5: [Basic] Problem 6.69. Question 6: [Intermediate/Exam Level] Problem 6.72. Question 7: [Intermediate/Exam Level] Suppose the means and variances of random variables X and Y is m X = 1, σ 2 X = 2, m Y = - 2, and σ 2 Y = 3 respectively. Suppose we also know that the covariance between X and Y is Cov ( X,Y ) = 1. Let Z = X + Y . 1. Find the mean and the variance of Z . Note: X and Y are not independent this time. 2. Find Cov ( X,Z ) and the correlation coeﬃcient ρ X,Z . 3. What is the minimum mean square error estimator of Z given X = x ? Question 8: [Intermediate/Exam Level] Continue from the previous question.

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## This note was uploaded on 05/02/2009 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue University-West Lafayette.

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HW12 - ECE 302, Homework #12, Due 4/15...

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