ESE 351 Section 01 Spring 2012
Quiz 6
Name: _
2/7/2012
Sections 4.1-4.5
Note: In the following questions, ( ) refers to the discrete-time unit impulse, ( ) refers to the
continuous-time impulse, 1( ) refers to the discrete-time unit step function, and 1(

ESE 351 Section 01 Spring 2012
Quiz 11
Name: _
2/23/2012
Chapter 7, sections 1-7
1. What is the inverse Z transform of ( ) =
where | | > 1? Hint: the result is a positive-
time function.
2. What is the inverse Laplace transform of ( ) =
where
[ ] > 3? Hin

ESE 351 Section 01 Fall 2011
Quiz 14
Name: _
10/25/2011
Chapter 9, sections 1-6
1. If a discrete-time system has the
matrix,
0
=
0
, is it asymptotically stable? Why?
0
2. What are the continuous-time mode functions for
=
3. A continuous-time system has t

ESE 351 Section 01 Fall 2011
Quiz 12
Name: _
10/11/2011
Chapter 7, sections 8-14
1. What is the inverse Z transform of the product ( ) ( ) if ( ) and ( ) are the respective
Z transforms of discrete-time functions ( ) and ( )?
2. What is the unilateral Lap

ESE 351 Section 01 Spring 2012
Quiz 15
Name: _
3/22/2012
Chapter 9, sections 7-11
1. If a discrete-time system has the
matrix,
=
0
0
, is it all-state BIBS stable? Why?
2. Suppose you have determined (correctly) that a system is not (zero-state) BIBO stab

ESE 351 Section 01 Spring 2012
Quiz 16
Name: _
3/27/2012
Chapter 10, sections 1-5 (continuous-time Fourier series only)
1. Continuous-time function ( ) = 1 + cos(2 ) = 1 +
frequency
frequency?
+
, has fundamental
= 2 . In its Fourier series expansion, wha

ESE 351 Section 01 Spring 2012
Quiz 17
Name: _
3/29/2012
Chapter 10, sections 6-8 (continuous-time only)
1. Consider continuous-time function ( ) =
that the fundamental frequency is
frequency.
6 + 6 cos 4
+
=
6+3
+3
. Note
= 4 . In this question, find the

ESE 351 Section 01 Spring 2012
Quiz 3
Name: _
1/26/12
Sections 1.7, 1.9, 1.10.4; 2.1-2.6
1. For a discrete-time system with state vector ( ), input ( ), and output ( ), write the
general expression for the state-space form (state and output equations usin

ESE 351 Section 01 Spring 2012
Quiz 19
Name: _
4/5/2012
Chapter 11, sections 11.3.1, 11.4.1
1. Consider an asymptotically stable continuous-time system with transfer function
input ( ) = cos( + ), what is the system output ( )?
( ). Given sinusoidal
(
2.

ESE 351 Section 01 Spring 2012
Quiz 18
Name: _
4/3/2012
Chapter 11, sections 1-2
1. Consider a discrete-time system with the following representation:
1
( + 1) = 3
0
0
3
4
( )+ 5
3
( ),
( ) = [20 15] ( ) + [10] ( )
Is it possible to find its steady-state

ESE 351 Section 01 Spring 2012
Quiz 2
Name: _
1/24/2012
Sections 1.10.1-1.10.3; 1.4-1.6
1. Assume you are given a circuit with nodes. At most, how many independent equations can
be generated using Kirchoffs current law?
2. Consider an inertial element wit

In-Class Practice Quiz (MACRO) - Chapters 1 - 3
NAME_
Chapter 1
1. The economy will not work well if it has the current level of unemployment.
A. This is a positive statement
B. This is a normative statement
2. Identify the macroeconomic topic:
A.
B.
C.
D

ESE 351 Section 01 Spring 2012
Quiz 13
Name: _
3/8/2012
Chapter 8, sections 1-7
1. Given a continuous-time system with transfer function,
response obtained?
( ), how is the system impulse
2. The input-output equation for a discrete-time system is given by

ESE 351 Section 01 Spring 2012
Quiz 20
Name: _
4/10/2012
Chapter 11, sections 11.5, 11.6
( )
1. Recall that the Fourier series expansion
of a periodic function ( )decomposes the
function ( ) into different harmonics, or phasors. When this function ( ) is

ESE 351 Section 01 Spring 2012
Quiz 24
Name: _
4/24/2012
Chapter 13, sections 5-8
1.
A continuous-time signal ( ), which is frequency-limited at frequency
(its transform ( ) is 0 for
| |
), is sampled at frequency . The original signal can be recovered fr

ESE 351 Section 01 Spring 2012
Quiz 23
Name: _
4/19/2012
Chapter 13, sections 1-4
1. For continuous-time function ( ) with Fourier transform ( ), what is the Fourier transform ( ) of
( ) = ( ) cos(
), (where
> 0)?
2. Recall that distortionless transmissio

ESE 351 Section 01 Spring 2012
Quiz 5
Name: _
Sections 3.2-3.5
1. What is the general solution ( ) for (
+ 6 + 9) ( ) = 0?
2. Find an annihilator for ( ) = 50.
3. Find an annihilator for ( ) =
.
4. Find an annihilator for ( ) = 25.
5. Find an annihilator

ESE 351 Section 01 Spring 2012
Quiz 22
Name: _
4/17/2012
Chapter 12, sections 9-12
1. For continuous-time function ( ) with Fourier transform ( ), what is the Fourier transform ( ) of
( ) = ( ) cos(
), (where
> 0)?
2. For continuous-time functions, ( ) an

ESE 351 Section 01 Spring 2012
Quiz 4
Name: _
1/31/12
Sections D.1-D.6 and 3.1
1. Given
=
2. Given
= 1 + , find and , and express
3. Given
2, find the angle,
=3
4 , and
=1
(in radians).
in the polar representation,
=
.
, find | | |.
4. What is the general

ESE 351 Section 01 Spring 2012
Quiz 7
Name: _
2/9/2012
Sections 4.6-4.8
1. What initial conditions does the impulse response assume?
2. In solving a differential equation with an impulse on the right-hand side, you need to
translate the initial conditions

ESE 351 Section 01 Spring 2012
Quiz 9
Name: _
2/16/2012
Chapter 6, sections 1-2
1. Given a polynomial ( ) of degree 25, what is the maximum degree of the remainder
polynomial ( ) when ( ) is divided by another polynomial ( ) of degree 5?
2. Suppose
=
3. S

ESE 351 Section 01 Spring 2012
Quiz 1
Name: _
1/19/2012
Sections 1.1-1.3
1. Let denote the velocity of a mass with its reference direction pointing to the right, i.e.,
when the mass is moving to the right, ( ) > 0, and when it is moving to the left,
( ) <

ESE 351 Section 01 Spring 2012
Quiz 10
Name: _
2/21/2012
Chapter 6, sections 3-7
Let
be an
1.
Consider
x
square matrix and let
( )=
2. Consider ( + 1) =
( ),
( ),
be an -dimensional vector.
0, with (0) =
. What is the solution ( ) for
0, with (0) =
. What

ESE 351 Section 01 Spring 2012
Quiz 8
Name: _
2/14/2012
Chapter 5
1. Suppose that a given linear time-invariant system has impulse response ( ) or ( ), input
( )or ( ) and output ( )or ( ). What is the convolution expression relating the three
terms? You

ESE 351 Section 01 Spring 2012
Quiz 21
Name: _
4/12/2012
Chapter 12, sections 1-8
( )
1. For a continuous-time function, ( ), recall the Fourier transform is given by ( ) =
.
Find the Fourier transform of ( ) = ( ), the continuous-time impulse function, a

Macro Practice Quiz 2 (chapters 7-10)
Chapter 7
1. Adding up all wages, rent, interest, and profits is called the _ approach,
while adding up all the sources of spending is called the _ approach to
national economic accounting.
A.
B.
C.
D.
output; income