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Multi-Way Conventional loudspeakers with crossovers

Infinite Line Source: analysis
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Old Yesterday, 05:12 PM   #251
Markw4 is offline Markw4
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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.
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Old Yesterday, 07:59 PM   #252
gedlee is offline gedlee  United States
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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.
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Old Yesterday, 11:22 PM   #253
Dave Zan is offline Dave Zan  Australia
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Originally Posted by turk 182 View Post
Start with a pulse, what the physicists call a Dirac Delta.
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

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