Timeline for Is there a closed form expression for main-lobe width increase given a window?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 10, 2014 at 13:17 | vote | accept | TheGrapeBeyond | ||
| Mar 5, 2014 at 13:54 | comment | added | Matt L. | I'm afraid that's the way it seems to be. | |
| Mar 5, 2014 at 13:48 | comment | added | TheGrapeBeyond | MattL, I then suppose that for more complicated windows, we have to literally just 'compute and see'? That surprises me to some extent, but it would seem from all this that this is indeed the case. | |
| Mar 5, 2014 at 13:36 | comment | added | Matt L. | It depends on the window. For rectangular and triangular windows, you can easily compute their Fourier transform and determine their first zero-crossing exactly. For the raised-cosine family of windows (Hamming, Hann, Blackman, and a few others), it is also possible to find an analytic expression for their Fourier transforms. I do not know if it's possible to get an exact value for the first zero-crossing from these Fourier transforms. Probably not, because tables usually give "approximate main lobe widths". | |
| Mar 5, 2014 at 13:07 | comment | added | TheGrapeBeyond | I had never heard of this theorem before, thanks! Let me then re-phrase and make it simpler: Let us say you are given the classical hamming window. How then, did/do people determine the location of its first zero? Tables exist that give the location of the first zero, but how did they get it? Are you saying that they must have found it numerically? Thanks again! | |
| Mar 5, 2014 at 9:47 | history | answered | Matt L. | CC BY-SA 3.0 |