Timeline for Infinite extent of spectrum, but also in time in Oppenheim's Discrete Time Signal Processing?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 5, 2017 at 14:16 | vote | accept | Starhowl | ||
| Apr 29, 2017 at 13:08 | history | edited | Matt L. | CC BY-SA 3.0 |
added 416 characters in body
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| Apr 29, 2017 at 11:15 | comment | added | Fat32 | @Starhowl, your question wrongly implies that, if a signal's frequency spectrum has infinite support, than its time domain support must be finite according to uncertainty principle. As Matt L described, the principle does not say that. For signal processing applications it's interpreted in the way that a signal cannot be both time and frequency limited... So just like a Gaussian signal $x(t)=e^{-a|t|}$, it can have infinite support in both time and frequency domains. | |
| Apr 29, 2017 at 10:31 | comment | added | Matt L. | @Starhowl: The author clearly understands the principle. And my answer is very much related to your question. Your question comes from a misunderstanding of the uncertainty principle. In my answer I tried to point out that a signal with infinite time extension and infinite bandwidth clearly does NOT violate the uncertainty principle. | |
| Apr 29, 2017 at 8:49 | history | answered | Matt L. | CC BY-SA 3.0 |