# A Rectangular Pulse

Natalie89

## Homework Statement

I have a rectangular train wave pulse, w(t). I needed to find the fourier transform. My work can done can be seen in the attachment.

## Homework Equations

My question is, is there a further way to simplify my solution.

See attachment.

Natalie89

## Homework Statement

I know I posted a similar question elsewhere, but the real problem I am having comes from an example I don't quite understand. There is some little math trick in it that I just don't understand.

The example can be seen in the attachment.

## Homework Equations

I understand the first step, but some confusion arises during the second step.

## The Attempt at a Solution

I know that the "e's" in the numerator can simplify to "sin(wT/2)*2*j, and that sin (x)/x is equal to Sa(x), but in the second step, I do not understand how the coeficient "T" and the denominator came to be.

Mentor
You have not attached anything to neither post, so it is not possible to help you in any way. Feel free to contact me by PM if you need assistance.