/sci/ - Science & Math » Thread #12373845

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Matlab Fourier Transform

Anonymous Sun 22 Nov 15:58:43 2020 No.12373845 View Reply Original Report

Quoted By: >>12373850

Hello guys, We have this equation for MATLAB. We've been struggling with this math problem for a long time, could you please show us how to turn those signals into fouriers series? complex and amplitude.

Anonymous

Anonymous Sun 22 Nov 2020 16:01:24 No.12373850 Report

Quoted By: >>12373856

>>12373845
The fuck's that notation?

Anonymous

Anonymous Sun 22 Nov 2020 16:03:04 No.12373856 Report

Quoted By: >>12373879

>>12373850
I think it's a piecewise function

Anonymous

Anonymous Sun 22 Nov 2020 16:06:21 No.12373859 Report

Quoted By:

I have no idea either, we don't know what to do with this

Anonymous

Anonymous Sun 22 Nov 2020 16:15:35 No.12373879 Report

Quoted By: >>12373891

>>12373856
Oh that makes sense
$\mathscr{F}\{f\}(\omega) = \frac{1}{\sqrt{2\pi}}\int_0^2 2.5t \,e^{i\omega t}\text{d}t+\frac{1}{\sqrt{2\pi}}\int_2^3(-5t-15)e^{i\omega t} \text{d}t$
Use integration by parts and you should get the solution.
Was that the question?

Anonymous

Anonymous Sun 22 Nov 2020 16:19:56 No.12373891 Report

Quoted By:

>>12373879
>series
I'm an idiot
replace the exponential with sin(nft/T) and 2pi with the interval length T

Anonymous

Anonymous Sun 22 Nov 2020 16:20:07 No.12373892 Report

Quoted By: >>12374043

And how do I get ??

Anonymous

Anonymous Sun 22 Nov 2020 17:25:18 No.12374043 Report

Quoted By:

>>12373892
It's a series dummy, solve that integral, you get a series of sines and cosines as functions of w

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