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Wave Table prime and Band Limiting

DSP related issues, mathematics, processing and techniques

Wave Table prime and Band Limiting

Postby Father » Sat Dec 16, 2017 11:39 pm

Hi
I was curious how does the wave table prime band limit and calculate all the harmonics for a given wave form?
Is it one of those band limiting algorithms out there like Bleps or Nyquist–Shannon? Creating those harmonic steps from any waveform is really nice.
Can any of the experts create an example on the green or ruby so we can study and learn the method?
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Bandlimiting.fsm
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Last edited by Father on Tue Dec 19, 2017 7:48 pm, edited 1 time in total.
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Re: Wave Table prime and Band Limiting

Postby BobF » Sun Dec 17, 2017 1:44 am

How father, I second your request.

Thanks, BobF.....
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Re: Wave Table prime and Band Limiting

Postby Spogg » Sun Dec 17, 2017 9:31 am

I really like that demo example.
Plus, I never gave this much thought before...

Cheers

Spogg
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Re: Wave Table prime and Band Limiting

Postby martinvicanek » Sun Dec 17, 2017 12:48 pm

You take the Fourier transform of your waveform. Then you chop off the harmonics that would alias at a given playback rate and transform back. Do the last step 256 or so times, removing one more harmonic each time until there is only the fundamental tone left. You end up with 256 wave tables, the rest is organizing them in a way so you can easily pick the right one for a given note.

Nigel Redmon has a nice writeup on that topic here:
http://www.earlevel.com/main/2012/05/03 ... oscillator—introduction/
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Re: Wave Table prime and Band Limiting

Postby rocknrollkat » Sun Dec 17, 2017 1:20 pm

martinvicanek wrote:You take the Fourier transform of your waveform. Then you chop off the harmonics that would alias at a given playback rate and transform back. Do the last step 256 or so times, removing one more harmonic each time until there is only the fundamental tone left. You end up with 256 wave tables, the rest is organizing them in a way so you can easily pick the right one for a given note.

Nigel Redmon has a nice writeup on that topic here:
http://www.earlevel.com/main/2012/05/03 ... oscillator—introduction/


Hi Martin,
What a great article, I coped and pasted it for myself, I'll finish reading it later today.
Thanks for the post !

ROXY :D
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Re: Wave Table prime and Band Limiting

Postby martinvicanek » Sun Dec 17, 2017 4:32 pm

@Father
I added a demo to your schematic that illustrates what I was trying to describe above.
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Re: Wave Table prime and Band Limiting

Postby Father » Tue Dec 19, 2017 8:04 pm

martinvicanek wrote:@Father
I added a demo to your schematic that illustrates what I was trying to describe above.

Awesome. I get it now.
That was very nice of you. Thanks.
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