Thread: Gibb's Effect
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Old 02-26-2009, 10:09 PM
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Default Re: Gibb's Effect

On Feb 26, 3:26*pm, "tkremund98" <tkremun...@hotmail.com> wrote:
> >On Feb 26, 2:54=A0pm, "tkremund98" <tkremun...@hotmail.com> wrote:
> >> This is just a question about Gibb's effect. Is Gibb's Effect is

> present =
> >in
> >> stationary data?

>
> >yes

>
> Do you believe that the Gibb's is significant in comparison with the
> general spread of the data?


I'm not trying to be glib, but if you try to make a very narrow
bandpass filter using a brickwall approach ( for example), the ringing
is very apparent. Will the ringing be a problem - maybe - depends on
the app.

Which aspect of Gibb's is a concern for you? Are you interested in the
Wilbrahem constant? Are you concerned with trying to approximate a
piecewise continuous function with a sum of uniformly continuous
ones? The far field distribution of E-M radiation is the Fourier
transform of the near field illumination current - are the side lobes
an issue?

If you can add some more detail to the question, I feel that I and
others can better answer your question. In optics you can see Gibb's
phenomina quite well. Look up Fresnel Integrals and their use in
Cornu's spiral to figure the strength of the diffracted (spread)
signal. This holds for radio waves as well.

Clay
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