Question
Asked Mar 16, 2019
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Please label answer clearly. Use the ~ symbol for the transformed function above the function label. For example:

         ~ f(w)

write the ~ symbol above the function f letter. Also label each section as a, b and c. Thank you.

 

 

Use the general definition and properties of Fourier transforms to show the
following
(a) If f(x) is periodic with period a then f(k)- 0, unless ka
(b) The Fourier transform of tf(t) is idf(co)/do.
(c) The Fourier transform of f(mt +c) is
2πη for integer n.
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Use the general definition and properties of Fourier transforms to show the following (a) If f(x) is periodic with period a then f(k)- 0, unless ka (b) The Fourier transform of tf(t) is idf(co)/do. (c) The Fourier transform of f(mt +c) is 2πη for integer n.

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Expert Answer

Step 1

To establish the required properties of the Fourier transform of a general function f(t)

Step 2

Start with the definition of the fourier transform of a function f(t)

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Step 3

(a) Assume the period is 2pi (a=2pi), for notational simplic...

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