EE 484
Homework 4
Due Monday, February 22, 2016
Work all 4 problems.
Problem 1. Pulse Coded Modulation (PCM) is to be used to encode a
signal. The signal ranges between the values -4 and +4. There are 3 bits
or 8 levels (hence 8 code numbers) available. T
EE 484
Homework 1 Solutions
Problem 1. Determine for each of the following whether or not the discretetime system is linear, and/or time-invariant.
a. y(n) = 2 sin[x(n)].
Solution: not linear
b. y(n) = x(n 2).
Solution: linear
c. y(n) = e|x(n)|.
Solution:
EE 484
Homework 1
Due Monday, January 25, 2016
Work all 6 problems.
Problem 1. Determine for each of the following whether or not the discretetime system is linear, and/or time-invariant.
a. y(n) = 2 sin[x(n)].
b. y(n) = x(n 2).
c. y(n) = e|x(n)|.
d. y(n)
EE 484
Homework 3 Solutions
Problem 1. Compute the Fourier transform of the following
x(t) =
1, 1/2 t 1/2,
0, elsewhere
and sketch a plot of its magnitude in the frequency domain.
Solution:
X(f) =
Z
1/2
ejf t dt
1/2
which becomes
X(f) =
sin f
, f 6= 0,
f
EE 484
Homework 2
Due Monday, February 1, 2016
Work all 3 problems.
Problem 1. Let x(n) be an independent and identically distributed random sequence with each x(n) having mean 0 and variance 2. Suppose we
form
X
y(n) =
h(k)x(n k)
k=0
where,
h(n) =
(
()n/
EE 484
Homework 2 Solutions
Problem 1. Let x(n) be an independent and identically distributed random
sequence with each x(n) having mean 0 and variance 2. Suppose we form
y(n) =
X
h(k)x(n k)
k=0
where,
h(n) =
(
()n/2, n 0, even
0,
elsewhere
where 0 < < 1.
EE 484
Homework 3
Due Monday, February 8, 2016
Work all 3 problems.
Problem 1. Compute the Fourier transform of the following
x(t) =
1, 1/2 t 1/2,
0, elsewhere
and sketch a plot of its magnitude in the frequency domain.
Problem 2. Suppose f = 1000 Hz. Com
EE 484
Homework 5
Due 6:00 p.m. on Wednesday, March 2, 2016
Work all 2 problems.
Note: For any Matlab exercises you should submit your Matlab code along
with the rest of your solution to the given problem.
Problem 1. This is a Matlab exercise. Consider th
EE 484
Homework 4 Solutions
Problem 1. Pulse Coded Modulation (PCM) is to be used to encode a
signal. The signal ranges between the values -4 and +4. There are 3 bits or
8 levels (hence 8 code numbers) available. The levels assigned have symmetry
like we
EE 484
Homework 5 Solutions
Note: For any Matlab exercises you should submit your Matlab code along with the rest of your
solution to the given problem.
Note: Code is provided for some of the problems in the solutions below. It is example code
only; there