Fourier Transform of this segnal: x(t)= t*rect[(t-T/2)/T]

[DALEX317]

Hello people!

Can you please show me how to solve and the result of the Fourier Transform of this segnal: x(t)= t*rect[(t-T/2)/T]
I tried to solve it with integral but it's not easy.
I'm waiting for your help because I need it for my exam.


PS: * is multiplication

 

[Deleted member 4993]

Hello people!

Can you please show me how to solve and the result of the Fourier Transform of this segnal: x(t)= t*rect[(t-T/2)/T]
I tried to solve it with integral but it's not easy.
I'm waiting for your help because I need it for my exam.


PS: * is multiplication

What does

f(t) = rect[(t-T/2)/T]

look like graphically?

 

[DALEX317]

What does

f(t) = rect[(t-T/2)/T]

look like graphically?

It's a rectangular function on 0<t<T range.

 

[Deleted member 4993]

It's a rectangular function whose range is 0<t<T. So?

So?

Do you know the Fourier transform of unit step function?

 

[DALEX317]

So?

Do you know the Fourier transform of unit step function?

Of course. It's 1/(j2πf) + δ(f)

 

[Deleted member 4993]

Of course. It's 1/(j2πf) + δ(f)

Now think about using that knowledge for your problem!

 

[DALEX317]

Now think about using that knowledge for your problem!

Hmmm, sorry, I don't follow you, I have started studying Fourier transform just a few weeks ago. :-(
Could you, please, explain me step by step?