ECE 804, Random Signal Analysis OSU, Autumn 2009 Problem Set 4 Problem 1
Oct. 21, 2009 Due: Oct. 28, 2009
Consider a random variable X that is passed through a system that has gain with clipping, dened by g x, |x| a ga, xa y = f (x) = ga, x a where g and
ECE 804, Random Signal Analysis OSU, Autumn 2009 Problem Set 1 Problem 1 For the set = cfw_1, 2, 3, 4,
Sep. 28, 2009 Due: Oct. 5, 2009
(a) Find the minimal eld that contains the subsets cfw_1, 2 and cfw_2, 4. (b) Find the minimal eld that contains the sub
ECE 804, Random Signal Analysis OSU, Autumn 2009 Problem Set 2 Problem 1
Oct. 5, 2009 Due: Oct. 12, 2009
Let X1 , . . . , Xn be a sequence of numbers, where each number takes on the value 0, 1 or 2 with probability 1 , 1 and 1 respectively. 24 4 (a) What
ECE 804, Random Signal Analysis OSU, Autumn 2009 Problem Set 3 Problem 1
Oct. 12, 2009 Due: Oct. 19, 2009
We consider a random selection of coins, where the probability of heads, C for the coins is a random variable whose pdf is fC (c) = k c for 0 c 1 and
Problem Set 5 - not to be turned in Problem 1 An experiment consists of drawing balls without replacement from an urn containing 10 balls numbered 1, 2, . . . , 10. For each of the following statements, answer True if the statement is always true, and ans
ECE 804, Random Signal Analysis OSU, Autumn 2009 Problem Set 6 Problem 1 Show that E [X ] is the value (of z ) that minimizes E [(X z )2 ]. Problem 2
Nov. 6, 2009 Due: Nov. 16, 2009
We want to obtain the mold content per volume, m, of the water in the Dre
ECE 804, Random Signal Analysis OSU, Autumn 2009 Problem Set 7 Problem 1 Random variables X and Y have a joint density, fX,Y (x, y ) = region shown below and 0 elsewhere.
2 1.5 1
k y
Nov. 16, 2009 Due: Nov. 23, 2009
inside the triangular
Y
0.5 0 0.5 1 2
1
ECE 804, Random Signal Analysis OSU, Autumn 2009 Problem Set 8 Problem 1
Nov. 23, 2009 Due: Dec. 2, 2009
Let the Gaussian random variable X N (0, 1) and the Bernoulli random variable Z= be independent. Dene Y = ZX . (a) Find fY (y ). (b) Show that X and Y