I have a question with this kind, when the problem gives the waveform like the picture below, how to determine x(t) form or y(t) form?

 

The integrand has the same form in either case, but the diagrams allow you to change the limits of integration.

 

The integrand has the same form in either case, but the diagrams allow you to change the limits of integration.

I dont know what you mean.

 

I dont know what you mean.

Well, this is Homework Help. You're supposed to show us your best attempt to solve the problem. I've given you a hint, in a language you appear to understand, and I don't know what else you expect for absolutely no effort except asking a question. The answer to this question requires three things:

1. Write the integral form of the Fourier Transform by combining the function x(t) or y(t) with the appropriate complex exponential
2. Determine the appropriate limits of integration
3. Do the integration and evaluate the result at the appropriate limits

 

I have a question with this kind, when the problem gives the waveform like the picture below, how to determine x(t) form or y(t) form?
View attachment 342829

It hard to tell exactly what you are asking about, but I think you are asking about how to express the waveform shown in the graph as an equation.

Plot the following function and you should be able to figure out everything you need.

y(t) = (t + 10) * [u(t+1) - u(t-2)] + (10 - t) * [u(t-2) - u(t-5)]

 

It hard to tell exactly what you are asking about, but I think you are asking about how to express the waveform shown in the graph as an equation.

Plot the following function and you should be able to figure out everything you need.

y(t) = (t + 10) * [u(t+1) - u(t-2)] + (10 - t) * [u(t-2) - u(t-5)]

Can you tell me where you have that y(t) function?

 

Can you tell me where you have that y(t) function?

It doesn't matter where that function came from. Plot it and look at how the various pieces of the plot match up to the pieces of the function.

 

It doesn't matter where that function came from. Plot it and look at how the various pieces of the plot match up to the pieces of the function.

not sure waht you mean, really?

 

The first step is to plot the given function. Say from -10 to +10.

If you can't do that, then we can work on that, but it also means you aren't yet ready to be working with Fourier transforms as you don't have the necessary basic concepts down.