On 2015-06-11, Vadim Zavalishin wrote:
So they can be considered "kind of" bandlimited, although as I noted in my other post, it seems to result in DC offsets in their restored versions, if sinc is windowed.
Not really, if the windowing is done right. The DC offsets have more to do with the following integration step.
You also mentioned (or I understood you so) that the exp(at) (a - real, t - from -infty to +infty) is not bandlimited (whereas my conjecture, based on the derivative rolloff speed, was that it's bandlimited if a is below the Nyquist). Could you tell us how does its spectrum look like?
It doesn't. Exponentials grow too fast for the transform to be well defined. Or at least in the context of tempered distributions, which call for (very roughly) at most polynomial growth.
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