Bandlimited parabola waveform using FFT ?

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Anybody knows the summation formula for a bandlimited parabola waveform ?

(x^2)-0.5

Just that this is not bandlimited.
Thanks!
:?:

Is it :
sum : (1/(n*n))*sin(twopi*n) where n:1,3,5,7,9

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tranceinstitute wrote:Anybody knows the summation formula for a bandlimited parabola waveform ?

(x^2)-0.5

Just that this is not bandlimited.
Thanks!
:?:

Is it :
sum : (1/(n*n))*sin(twopi*n) where n:1,3,5,7,9
Take a look at the Music DSP Source Code Archive. There is a concrete example published by Joe Wright (including pdf documentation) for doing exactly that.

...erm... this is not exactly FFT (Fast Fourier Transform) - not even inverse FFT, but a kinda specialized Fourier series synthesis...

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It's
sume(1-n) : cos (n*2*PI)* 1/(n*n)

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