A simple RC filter has an impulse response of exp(-t/T), t > 0. Is there a circuit with impulse response exp(-exp(t)) ?
Bob
A simple RC filter has an impulse response of exp(-t/T), t > 0. Is there a circuit with impulse response exp(-exp(t)) ?
Bob
Sounds like a simple analogue computing problem
NT
The latter function doesn't have an antiderivative expressable in terms of elementary functions, so the Laplace transform of it isn't likely to be anything nice, hence the circuit is certainly not going to be anything nice...
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And it isn't the solution of any linear ODE with constant coefficients, either. You can do it with a dual op amp and a BJT matched quad, at least until the intermediate node saturates, which will be within a few seconds.
Cheers
Phil Hobbs
-- Dr Philip C D Hobbs Principal Consultant ElectroOptical Innovations LLC Optics, Electro-optics, Photonics, Analog Electronics 160 North State Road #203 Briarcliff Manor NY 10510 hobbs at electrooptical dot net http://electrooptical.net
Thanks, yes I don't think it can be done easily with R's and C's. It popped up as a solution to a math problem I'm working on and I wondered if there was a corresponding circuit. Of course I could always digitize the impulse response at a high sample rate and run it as an FIR.
Bob
You'd run out of bits pretty fast, though.
Cheers
Phil Hobbs
-- Dr Philip C D Hobbs Principal Consultant ElectroOptical Innovations LLC Optics, Electro-optics, Photonics, Analog Electronics 160 North State Road #203 Briarcliff Manor NY 10510 hobbs at electrooptical dot net http://electrooptical.net
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