Do you know the convention for the Fourier Transform parameters (a and b just below) used ?
1/n^((1-a)/2)Underoverscript[[Sum], r=1, n]Subscript[u, r] e^(2[Pi] i b(r-1)(s-1)/n)
Spectral Analysis math
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This board is ONLY for general feedback and discussion about Audacity 2.X.
If you require help, or think you have found a "bug", please post on the forum board relevant to your operating system.
Windows
Mac OS X
GNU/Linux and Unix-like
Re: Spectral Analysis math
No news to answer to the question pf the FFT convbentions made by Audacity ?
Well I do not manage to match Mathematica 9 to the Audacity results but I guess this is a convention missmatch more than a bug.
Well I do not manage to match Mathematica 9 to the Audacity results but I guess this is a convention missmatch more than a bug.
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Robert J. H.
- Posts: 3633
- Joined: Thu May 31, 2012 8:33 am
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Re: Spectral Analysis math
Could you explain where this "convention" originates and what is actually meant by it?
We are no mathematicians.
We are no mathematicians.
Re: Spectral Analysis math
Well, at least I know this kind of things
the Fourier Transform is something involving coefficient of
Exp with i^2=-1
but
the argument of the exponentiel may be defined differently and this influence the normalization of the function too.
There is of course a set of definition that garantee the fact that InverseFourier[Fourier] = Identity
but from a set of parameter to another two Fourier Transform might give different numerical results.
the Fourier Transform is something involving coefficient of
Exp with i^2=-1
but
the argument of the exponentiel may be defined differently and this influence the normalization of the function too.
There is of course a set of definition that garantee the fact that InverseFourier[Fourier] = Identity
but from a set of parameter to another two Fourier Transform might give different numerical results.