Hey. This might be a stupid question, but here goes.

A dynamic microphone's output, in voltage, is proportional to dx/dt (where x
is diaphragm displacement), right? And a condenser's output is proportional
to x, right?

So in theory (disregarding, for the moment, differences in capsules,
components, sensitivity, etc), if you differentiated the signal from a
condenser in terms of t, you'd get a dynamic-like signal, and if you
integrated the signal from a dynamic mic in terms of t, you'd get a
condenser-like signal, right?

In some applications, a condenser might sound better but a dynamic might be
more practical due to high SPL or the risk of damaging an expensive
condenser etc. Has anyone ever tried to design a plugin that could integrate
or differentiate a sound file's signal (numerically, obviously, not
analytically)? Maybe even in realtime?

Or am I just being stupid... and is this how mic/speaker simulators work?

I'd be interested to hear any thoughts.

--
tj hertz