Friday, June 01, 2007
Low Pass Filter Visualization
YouTube via stretta.
"A graphical illustration of how a square and saw wave collapse into a sine wave by filtering out the upper harmonics."
5 comments:
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© Matrixsynth - All posts are presented here for informative, historical and educative purposes as applicable within fair use.
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MATRIXSYNTH - EVERYTHING SYNTH
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It looks like the square wave and saw wave in this animation has been created using additive synthesis. There is that little squiggle that you normally get when you create an almost square wave or almost saw wave from sine waves.
ReplyDeleteummm....actually that squiggle is called Resonance.....ever heard of it?
ReplyDeleteNeat fact, that you can't actually broadcast a perfect square wave through 'real wires', as it is discontinuous (goes from -x to +y), and has infinite harmonics, so when you see those little warbles around the edges of a square wave, it's often a result to bandwidth limitations of the physical medium / circuitry.
ReplyDeleteSo, in analog synthesis, filters change the bandwidth, and certain types of filters have that resonance peak (you can make filters that don't have that resonance peak, but you may get more phase shift, or group delay).
A fourier or finite power series only approximate the square wave -- the more terms, the more 'square' it looks, but it's never really square.
the good doktor didn't mention the gibbs phenomena! come on dok, give us the whole story...
ReplyDeleteanon #1 could be right, although..
ReplyDeleteif that monitoring device is digital and the source used is an analog signal, the "limitation of the physical medium" (df) is of course the low pass filter in the A/D.
Otherwise, if the osc used was digital, band-limited digital signals look [something] like this
http://music.calarts.edu/~asomers/images/geek/Blit_Saw.png
And additive synthesis has nothing do with it.