UNIVERSITY OF CALIFORNIA, RIVERSIDE
Department of Electrical Engineering
WINTER 2012
EE110B-SIGNALS AND SYSTEMS
HOMEWORK 2
Please turn in on Thursday, January 26th, 2012, at the beginning of the class.
Problem 1: Consider an LTI system with the input x[n]

UNIVERSITY OF CALIFORNIA, RIVERSIDE
Department of Electrical Engineering
WINTER 2012
EE110B-SIGNALS AND SYSTEMS
HOMEWORK 5
Please turn in on Thursday, February 23th, 2012, at the beginning of the class.
Problem 1:
Determine the signal x[n] whose DTFT is g

EE 110B Signals and Systems
Fourier Analysis of !
Discrete-Time Signals
Ertem Tuncel
Decomposition of periodic signals
Recall that we can decompose any signal into
shifted impulses:
Also remember how this was useful in
understanding the response of an L

EE 110B Signals and Systems
Linear and Time-Invariant (LTI) !
Systems
Ertem Tuncel
Why LTI systems?
Linear and time-invariant systems are
especially easy to analyze and design.
In a lot of cases, they are good enough to do
the "signal processing" job.

EE 110B Signals and Systems
Introduction to !
Discrete-time Signals and Systems
Ertem Tuncel
Discrete-time signals
Motivation: We may have access to only
periodic samples x(nT) of a signal x(t).
x(t)
T 2T 3T
-T
t
x[n]=x(nT)
1
-1
2
3
n
Discrete-time signa

EE 110B Signals and Systems
LTI Systems Defined by
Difference Equations
Ertem Tuncel
Difference equations
The input/output relation of an LTI system can
sometimes be expressed as a constantcoefficient difference equation.
Analogous to constant-coefficie

UNIVERSITY OF CALIFORNIA, RIVERSIDE
Department of Electrical Engineering
WINTER 2012
EE110B-SIGNALS AND SYSTEMS
HOMEWORK 7
Please turn in on Thursday, March 8th, 2012, at the beginning of the class.
Problem 1: Find the transfer function H(z) of the system

UNIVERSITY OF CALIFORNIA, RIVERSIDE
Department of Electrical Engineering
WINTER 2012
EE110B-SIGNALS AND SYSTEMS
HOMEWORK 8
Please turn in on Thursday, March 15th, 2012, at the beginning of the class.
Problem 1: Consider the signal
xc (t) =
sin(t)
t
2
whic

UNIVERSITY OF CALIFORNIA, RIVERSIDE
Department of Electrical Engineering
WINTER 2012
EE110B-SIGNALS AND SYSTEMS
HOMEWORK 1
Please turn in on Thursday, January 19th, 2012, at the beginning of the class.
Problem 1: Determine whether or not each of the follo

UNIVERSITY OF CALIFORNIA, RIVERSIDE
Department of Electrical Engineering
WINTER 2012
EE110B-SIGNALS AND SYSTEMS
HOMEWORK 3
Please turn in on Thursday, February 2nd, 2012, at the beginning of the class.
Problem 1: Consider an LTI system with the input-outp

UNIVERSITY OF CALIFORNIA, RIVERSIDE
Department of Electrical Engineering
WINTER 2012
EE110B-SIGNALS AND SYSTEMS
HOMEWORK 6
Please turn in on Thursday, March 1st, 2012, at the beginning of the class.
Problem 1: Determine the z-transform of each of the foll

UNIVERSITY OF CALIFORNIA, RIVERSIDE
Department of Electrical Engineering
WINTER 2012
EE110B-SIGNALS AND SYSTEMS
HOMEWORK 4
Please turn in on Thursday, February 9th, 2012, at the beginning of the class.
Problem:
a) Find the DTFS coecients ak of the periodi