EE 207(082)
Project #1
For each of the following periodical functions with its Fourier
Coefficients both in terms of the an and bn and in terms of the complex
exponential Xn.
Write a matlab program that will generate the periodical function using
(1) The cosine and sine expansion
(2) The complex exponential expansion.
Generate a plot for the periodical wave for each expansion .
Use a time sample from t=0 to 4 insteps of 0.01
Use t=[0:0.01:4] ;
x1(t)
1
-3
-2
t (sec)
-1
0
a0  1
2
an  0
1
2
3
Xn
-1
jn 2
bn 
-1
n
x2(t)
1
-2
-1
0
1
2
3
t (sec)
-1
an  0
a0  0
 2
 jn
X n  

 0
n odd
n even
 4
 n
bn  

 0
n odd
n even
x3(t)
2
1
-2
-1
0
1
2
3
-1
an  0
a0  1
2
 2
 jn

X n  
 1

 n
n odd
n even
 4
 n

bn  
 -2

 n
n odd
n even