Third Semester
(B.Tech)
Question Bank
Topic –
Fourier Series, Fourier Transform and Harmonic Analysis
Q1 Find the Fourier series to represent the function 
, given by
, given by
Deduce
that
Q2 Find the Fourier transforms of
Hence evaluate
Q3 Obtain a Fourier expansion for 
in the interval 
.
in the interval .
Q4 Obtain the Fourier expansion
and hence deduce that
1
Q5 Find the first three harmonics for the function by the
following table:-
 |
0
|
60
|
120
|
180
|
240
|
300
|
360
|
 |
0.8
|
0.6
|
0.4
|
0.7
|
0.9
|
1.1
|
0.8
|
Q6 Use the integral 
, to prove that the Fourier transform of 
is
, to prove that the Fourier transform of is 
.
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