Transforms and its Applications: UNIT 4: Fourier Transform
Fourier Transform: Exercise Problems
Transforms and its Applications: UNIT 4: Fourier Transform : Exercise Problems based on Fourier Transform.
Fourier Transform Exercise Problems
EXERCISE [Fourier integral theorem]
1.
Using Fourier integral representation, show that
2.
Solve the integral equation 0ʃ ∞
f(x) cos sx dx = e‒s. 
. Hence deduce that
3.
Solve for f(x) from the integral
equation
[Ans. f(x)
= 2/πx[1+cosx‒2cos 2x] ]
4.
Solve the integral equation 0ʃ ∞
f(x) cos λx dx= 
Hence
deduce that 
EXERCISE [Fourier Transform]
I. Find the Fourier
transform of the function.
II. If the Fourier
transform of f (x) is √(2/π) (sinas/s)
Find 
EXERCISE [FCT and FST]
I.
1. Find the Fourier cosine transform of e‒4x Deduce that
2.
Find the Fourier sine transform of xe‒x2/2
[Ans.
se‒s2/2 ]
3.
Find f(x) if its cosine transform is
II. Find the Fourier
Cosine Transform of
III. Find the Fourier
Sine transform of
IV. Find the Fourier cosine and sine transforms of
Transforms and its Applications: UNIT 4: Fourier Transform : Tag: Engineering mathematics, Maths : - Fourier Transform: Exercise Problems
Transforms and its Applications: UNIT 4: Fourier Transform
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Transforms and its Applications
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