# Determine the Fourier transform of each of the following signals:1. x(t) =2. 1(t - 3) + 1(t + 3)3. 41 (4) cos(27 fot)4. t sinct

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(2.)rectangular function definition

the rectangular function is given by the expression as shown below:

the Fourier transform for the given expression is given as :

Here in the given problem, the shifting property is used. the variable t shifts to (t-3).

shifting property for rectangular function.

the Fourier transform of the rectangular function is given by:

F(rect(t))=

applying the shifting property for the given function,

calculation

the given problem can be broken into two parts by using Fourier distributive property. as shown below.

calculation for the

The overall Fourier transform is given as

...

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