>On Feb 26, 3:26=A0pm, "tkremund98" <tkremun...@hotmail.com> wrote:
>> >On Feb 26, 2:54=3DA0pm, "tkremund98" <tkremun...@hotmail.com> wrote:
>> >> This is just a question about Gibb's effect. Is Gibb's Effect is
>> present =3D
>> >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
>

I'm actually somewhat crosstraining into DSP methods after receiving
degree in statistics. In other words, I'm somewhat wet behind the ear
still. I notice that after having filtering data with a windowed-sin
filter I have the usual ring in the neighborhood of a step function but i
dies out. Seeing this prodded some investigation. I tried som
simulations using a signal simulated using user specified amplitudes fo
sine and cosine waves and combining using a synthesis equation. Then
superimposed this on a hard step function. When I vary the magnitude o
the step function from large to small the ring disappears into the data an
is seemingly indistiguishable from the data after having filtered it.

I really appreciate the help, thanks!