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 Yesterday, 05:12 PM #251 Markw4 diyAudio Member   Join Date: Jul 2016 It's a mathematical abstraction that doesn't exist in physical reality. It can be useful for making calculations used to model reality, however. But, if you are not going to do mathematical modeling of reality, its probably not going to be of any use to you. On the other hand, if you do want to learn some math including about doublets, then you should probably pick up with math wherever you left off in school and eventually you will get to using doublets.
 Yesterday, 07:59 PM #252 gedlee   diyAudio Member     Join Date: Dec 2004 Location: Novi, Michigan A doublet is a positive impulse followed immediately by a negative impulse. OOPs, I think that I did get that wrong. The spherical case, 3D, does have an impulse Volume Velocity, but a doublet Volume Acceleration. This stuff gets confusing, even to me. __________________ Earl Geddes Gedlee Website
Dave Zan
diyAudio Member

Join Date: Nov 2010
Quote:
 Originally Posted by turk 182 doublet?...
It is instantaneous but the total amount (mathematicians call this the "integral") adds up to one unit of whatever it happens to be a pulse of, acoustic volume say.
There is a mathematical issue there, because "instantaneous" means happens in 0 time and so we end up with divide-by-zero type problems.
Physicists don't care much, and EEs even less, and in any case it is possible to do it mathematically strictly if we consider it as a limit of a series of narrower and narrower but taller and taller pulses.
Now a 'doublet' is the slope (mathematicians call this the 'derivative') of that infinitely narrow, infinitely tall pulse.
Similar problem here, to define a slope of a function that happens in zero time and is infinitely steep.
"Werewolf" says he does this all the time! and he is correct for practical purposes, it can even be done mathematically strictly as a limit of steeper and steeper slopes, one up and then one down, a 'Doublet'.
The strict version is called a distribution or a hyperfunction, which sounds much cooler, but I don't want to even try to be formally correct, as I commented earlier

Best wishes
David

Last edited by Dave Zan; Yesterday at 11:31 PM.

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