EE3317
Assignment #8
Spring 2010
Kai Yeung
Due Date: No need to turn in
1. The Fourier transform of the triangular pulse f(t) in Fig is expressed as
F( ) =
1
2
(e j j e j 1) , use this information, and the time-shifting and time-scaling
properties, find t
Lab 5
Nested functions & Local functions
Nested functions are functions defined within functions. They are helpful when:
- We wish to write small or temporary functions which do not merit creation of a new m-file
- When we wish to share some information b
LAB 3
Matrix (and array/vector) operations
We will treat a vector (mathematical name for array) of some length N as a matrix of size Nx1 (or 1xN
if necessary). So any Matrix operations we describe below apply to vectors too.
A = (2x3)
1 2 3
4 5 6
B = (3x2
LAB 2
This lab will seem like a repetition of lab 1, but considering that most of the class is new to MATLAB,
this is necessary.
There will be a class roll at the beginning of the class, and a submission of the exercises from the class
both of which will
Lab 4
Representing Polynomials
A polynomial of nth degree looks like:
n
a n s +a n1 a
n1
2
+.+a 2 s +a 1 s+ a0
The coefficients an, an-1, , a2, a1, a0 are the coefficients of decreasing powers of s. MATLAB has
some powerful built-in functions to work with
ZERO '- WM? 715st TEENS snare 0 3+, A mg C
TERM ° (Rims/sth +5 5+?
"T élwn- a l
M 0"
3 Y6).- ZQV +3. m) + FLxsf-Eh 3"; y//i-ng
2' Oo
6+z+)r//:'§e*z"39 fcv
* 5; CW/?
'1) We if 1405!! - 91h (UIIO/ 2 7
ZERO -$7ATE KESFa/vss
CW9 army/H r: Np) 74+)
M
5 1?
(JJ/
MM? 3
y 69
$15 WNW!
L " TI L 2w
53mm, kart? (a; 4M.J._J_ WW . WW.
J. F
5 x 7 St 1- rr r t: >-
\ . 92%, hr . .
, . i Q, , A W 7 , 77 .,
~ "xéh {£33, 37-" ) I 5 /
OF- AN R6: cmcmr
. I _.
r' 9h , V, if
CAM 55 amtAR? FMcEssEp Ta
m
EE3317
Assignment # 1
Spring 2010 Kai Yeung Due date: January 28, 2010
1. Consider the following functions and evaluate their partial fraction expansions.
H(s) = 4 s2 + 13 s 1 s (s + 1)(s + 2)
(a)
(b)
H(s) =
2 s2 + s + 1 (s + 1)(s + 2)(s + 3)2
(c) Verify
EE3317
Assignment #3
Spring 2010
Kai Yeung
Due Date: February 23, 2010
1. Consider the following electrical circuit:
R=1/3
f(t)
L=1/2
C=1
y(t)
(a) Show that the differential equation governing the above circuit is given by
&
&( t ) + 3y( t ) + 2 y( t ) =
EE3317
Assignment #4
Spring 2010
Kai Yeung
Due Date: March 2, 2010
1. Consider the following differential equation description of a system:
&
&( t ) + 3y( t ) + 2 y( t ) = &( t ) f ( t )
&
y
f
(a) Give the transfer function of the system. Is the transfer
EE3317
Assignment #5
Spring 2010
Kai Yeung
Due Date: April 8, 2010
1. Consider a system with the following transfer function:
H(S) =
K(s + 1)
3
2Ts + (T + 2)s 2 + (K + 1)s + K
where K > 0 and T > 0 are two design parameters. Find a condition (in terms of
EE3317
Assignment #6
Fall 2010
Kai Yeung
Due Date: 4/20/2010
1. Consider the following periodic signal f(t):
f(t)
1
-2
-4
-1
2
-3
0
1
3
6
4
7
5
t
-1
(a) Find the period of f(t).
(b) Is f(t) (i) even, (ii) odd, and (iii) half-wave symmetric? What coefficie
EE3317
Assignment #7
Spring 2010
Kai Yeung
Due date: April 27, 2010
1. A signal f(t) can be expressed as the sum of even and odd components.
f(t) = f e (t) + f o (t )
(a) If f(t) F(w) . Show that for real f(t), f e (t) Re[F(w)] and f o (t) j Im[F(w)]
(b)