State and prove the following properties of Fourier Transform with example

(i) Time Shifting.

(ii) Convolution in time domain.

Mumbai University > Information Technology > Sem 3 > Principles of analog and digital communication

Marks:- 5M

Year:- Dec 2015

Obtain the Fourier transform of the rectangular pulse as shown below:

Solution:

• A pulse which has an amplitude A and which extends from

t=-T/2 to t =+ T/2 is expressed as follows:

x(t) =A rect (t/T)………….(1)

• The rectangular pulse of fig is the delayed version of the standard rectangular pulse …