Timeline for Does Function to Function Multiplication and Convolution, Follow Laws of Convolution
Current License: CC BY-SA 3.0
6 events
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| Feb 20, 2018 at 16:57 | comment | added | Code_X | Hi Dilip, thanks. I have modelled different signals and all have different responses to the boxcar. So, empirically confirmed, and theoretically not possible for the boxcar to be the cause of the ringing since it is never applied to the filter input. The boxcar only "synthesises" the truncated sine. If i could up-vote you i would. Thanks and regards, Code_X. | |
| Feb 20, 2018 at 16:45 | comment | added | Dilip Sarwate | @Code_X (continued) ... the ringing died away before we got to any finite time instant, leaving only the steady-state answer of the sine being passed through the filter and producing the same sine, possibly with different amplitude and phase, at the output | |
| Feb 20, 2018 at 16:43 | comment | added | Dilip Sarwate | @Code_X The truncated sine incorporates the boxcar function, the sine does not. So, your pal's assertion is incorrect in that the ringing is due to the truncated sine: it is meaningless to separate the two notions of the boxcar and the truncated sine as two different entities. The filter has no way of knowing whether the input, once it has begun, is going to end some time soon. What it does know is that input suddenly began instead of having been present since $-\infty$ and it starts ringing right away. Well, the filter did "begin" ringing at $-\infty$ but ... (continued) | |
| Feb 20, 2018 at 15:46 | comment | added | Code_X | Thank you for the response - and answer. Can you further confirm that the statement i refer to at the end of my post, where the person states that it is the boxcar function that causes the filter ringing, and not the truncated sine, to be incorrect ?. (since this statement implies that the truncated sine somehow 'incorporates' the boxcar function). Thanks and regards, Code_X. | |
| Feb 20, 2018 at 15:42 | vote | accept | Code_X | ||
| Feb 20, 2018 at 15:12 | history | answered | Tendero | CC BY-SA 3.0 |