"Tim Wescott" <[email protected]> wrote in message
news[email protected]..
>
> Nyquist holds, but it can be difficult to go from a real-world (i.e.
> inherently infinite bandwidth) signal to a bandlimited one without
> ringing -- I'm discussing this, in the context of how you need to be aware
> of the issue when establishing your sampling rate.

Tim,

There are classes of windows or filters that have no ringing in one domain
and have minimum transition width in the other. That's as good as it gets!
See:
Temes, Barcilon and Marshall "The Optimization of Bandlimited Sytems" Proc
IEEE Vol 61 No. 2 Feb 1973 pp 196-234

I believe one can find approximations to the optimum that are close
enough....

Fred