ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 4 Solutions
1. (Linear Estimation) The output of a channel is Y = X + N , where the input X
and the noise N are independent, zero mean
ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 4
Due Friday October 4 at 5:00 p.m.
1. (Linear Estimation) The output of a channel is Y = X + N , where the input X
and the noise N are
ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 2
Due September 20 at 5:00 p.m.
1. (Chebyshev Inequality) Let X1 , . . ., X be independent Geometric random variables with parameters p
ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 3
Due Friday, September 27 at 5:00 p.m.
1. (Two Random Variables) Alice arrives at the bus station at some random time
uniformly distri
ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 5
Due Friday October 11 at 5:00 p.m. Feel free to turn it in earlier!
1. Let Yi = X + Zi for i = 1, 2, . . . , n be n observations of a
ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 6
Due October 28 at 5:00 p.m.
1. Let X (t) and Y (t) be independent, wide-sense stationary random processes with zero
means and the sam
ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 5 Solutions
1. Let Yi = X + Zi for i = 1, 2, . . . , n be n observations of a signal X N (0, P ).
The additive noise components Z1 , Z2
ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 2 Solutions
1. (Chebyshev Inequality) Let X1 , . . ., X be independent Geometric random variables with parameters p1 , . . . , p respec
ECE 4110: Random Signals in Communications and
Signal Processing
ECE department, Cornell University, Fall 2013
Homework 3 Solutions
1. (Two Random Variables) Alice arrives at the bus station at some random time
uniformly distributed between 12 p.m and 1 p