Timeline for Why is the output of an LTI system the convolution of the input funtion and the impulse response?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 22, 2011 at 1:17 | comment | added | LSpice | @NW Patrick, as indicated in my comment above, any response described by a ‘system function’ yields an output $y$ for each input $x$ such that $y(t)$ depends only on $x(t)$. For example, the constant signal $x : t \mapsto 1$ will produce the same response at time $t = 1$ as the ‘ramp’ signal $y : t \mapsto t$. Unless you've got a very special system, this just won't happen. | |
| Jun 22, 2011 at 1:05 | comment | added | PFiver | This (together with khanacademy.org/video/… & a variety of other documents) helped me actually understand what convolution is. -- Thanks a lot! -- // Because an R-C-Circuit can only be described by dirac- or step-function response or an ODE in the time domain, my quest for a "system function" f(x) must be futile, it seems. Correct? | |
| Jun 22, 2011 at 1:02 | vote | accept | PFiver | ||
| Jun 22, 2011 at 0:15 | history | edited | Sridhar Ramesh | CC BY-SA 3.0 |
added 39 characters in body
|
| Jun 22, 2011 at 0:08 | history | answered | Sridhar Ramesh | CC BY-SA 3.0 |