From theory to practice - page 636

 
Alexander_K2:

:)) Lana. I'm just teasing. I don't mean it badly.

By the way, the FFT applies to a periodic function

But the FFT for a non-periodic function is very different and is described differently in different books

 
Renat Akhtyamov:

By the way, the FFT applies to a periodic function

But the FFT of a non-periodic function is very different and is described differently in different books

That's an obscene use of words.

 
Алексей Тарабанов:

You're using obscene words.

PF - Fourier transform

FFT - fast Fourier transform

So far we're only talking about the direct FFT.

 
Sinusoids. Repeat what you have learned.
 
Алексей Тарабанов:
Sine waves. A repetition of what has been passed.

went wrong.

I read the forum during the week and your comments were also found in those threads ( 2007-2009)

We applied an FFT and the signal is non-periodic.

After reverse PF we got edge effects, because we forgot about the phase, i.e. we had to shift the sine/cosine oscillators relative to each other a bit. We applied a PF using the formulas imposed on the periodic signal

 
Renat Akhtyamov:

have gone wrong.

I've read the forum and I've seen your comments in those threads too

I realise I'm a retrograde, but why would you need to interpolate by a Fourier polynomial to extrapolate something outside the process period? You get the same thing that was inside the period.

 
Алексей Тарабанов:

I realise I'm a retrograde, but why would you need to interpolate by a Fourier polynomial to extrapolate something outside the process period? You get the same thing that was inside the period.

T period is infinity for a non-periodic function, that's the main point

i.e. there is no observation window (or rather the whole history), and the spectrum is quite different

and since 1/T tends to zero, we have just one significant harmonic in essence.

 
Renat Akhtyamov:

period infinity for a non-periodic function, that's the main point

i.e. there is no observation window and the spectrum is completely different

It's not good at all.

 
Алексей Тарабанов:

This is not good at all.

Alexei, you are exaggerating

It is just the opposite and by the way, the PF formulas are different in this case

 
Renat Akhtyamov:

Alexei, you are exaggerating.

It is just the other way round.

Extrapolation cannot be implemented by interpolation.

Reason: