EE 207 Winter 2012(112) Project 1 Q1

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EE 207 Winter 2012(112)
Project 1
Due Wednesday April 4
Q1
Let x(t) be a periodical function with complex Fourier
Coefficients given as
Cn 
1
sinc(n/2)
2
Using Matlab Construct and plot the approximate
periodical function x(t) using the partial sum , for N = 5 ,
15, 100

N
x(t ) 
Cn e jn0t
n  N
Use the time interval from t= 0 to t=8 increment of 0.01
Note : Matlab does not have zero or negative index for
matrix or vector
Q2
t
Let x (t )  e u (t ) , using Symbolic Matlab
(a) Plot x(t) ?
(b) Evalute
 x (t )dt
dx (t )
(c) Evalute
dt
(d) Find Fourier Transform ?
(e) Find the Inverse Fourier Transform , x(t) and plot it?
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