Skip to main content
4 votes

Does the impulse response of every stable system have finite energy?

In general, BIBO-stability doesn't imply finite energy of the impulse response. Neither does finite energy of the impulse response imply BIBO-stability. Example 1: BIBO-stable but infinite energy $$h(...
Matt L.'s user avatar
  • 90k
3 votes

Deconvolution with unknown impulse response

What methods are there for such deconvolution problems, None for the general case (without additional information). We can easily see this by looking at the frequency domain $$y(t) = h(t)*x(t) \...
Hilmar's user avatar
  • 44.8k
2 votes

Filter secondary bounces of a pulse signal

No, probably not. If your convolutional model was based on the system being excited by your input being a linear one, it is almost certain you'd see negative amplitudes on the output. Your graph doesn'...
Marcus Müller's user avatar
2 votes
Accepted

Finding the impulse response of an c.t LTI system through the step response

Since the system is LTI, the input-output relationship is given by the convolution integral. Hence, for any signal $x(t)$, the output is given by $$ y(t) = (x*h)(t) = \int_{-\infty}^{+\infty}x(t-\tau)...
AHT's user avatar
  • 66
2 votes
Accepted

USE Impulse response to get Original sound

using a microphone, speaker, and gunpowder. Gunpowder sounds like a terrible idea. Both spatial and temporal properties of a gun shot are poorly defined and not particularly reproducible. Also the ...
Hilmar's user avatar
  • 44.8k
1 vote

Filter secondary bounces of a pulse signal

With the uncertainties involved, no, deconvolution is not something you could apply here. two factors: mismatch of physics and model uncertainty larger than information to the first factor: your ...
Marcus Müller's user avatar

Only top scored, non community-wiki answers of a minimum length are eligible