From the original SynthMaker forum (2004–2014), with its members’ names and dates.
subrock ·
So, according to the convolution theorem , convolution in time domain, is multiplication in frequecy domain. This has been kind of buggin me all day, and I haven't had the time to work this out mathematically, but what happens when you convolve two pure sine waves of different frequencies? In the frequency domain, it should turn out to be zero for all frequencies right?? For some reason, that doesn't seem to make any sense to me.
stefan ·
Actually, without doing the maths myself, I'd think that convolving two sines in time domain also will end up as silence.
sambean ·
A quick thing to remember: Multiplication in freq domain is exactly equivalent to circular convolution in time domain. So when you convolve the two signals you have to wrap round.
Sines of different frequencies are orthogonal, so their circular convolution will turn out to zero, it may not seem obvious but most positive and negative values will cancel each other out. Have a google or wiki for Fourier Theory.
Sam
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