0
$\begingroup$

This question already has an answer here:

I have a signal $s(t)$ of duration $T$. This signal doesn't have a limited bandwidth. To solve this problem, I filter it with a pulse shaping filter (raised cosine filter).

My question: Does filtering change the duration of the signal?

$\endgroup$

marked as duplicate by Marcus Müller, MBaz, Peter K. May 30 at 15:56

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

1
$\begingroup$

A classical result states that a (non-trivial) time-limited signal does not have a limited bandwidth (in terms of support). The converse happens as well: a bandwidth-limited signal cannot be of finite length.

And there is a similar rule-of-thumb principle: when you try to reduce the support of a signal in one domain (time or frequency), you generally spread it in the other domain.

$\endgroup$

Not the answer you're looking for? Browse other questions tagged or ask your own question.