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Let's suppose we have an emitter and a receiver in fixed positions the emitter sends a signal $s_1(t)$ and after a period $T$ it sends $s_2(t)$, the receiver receives $r_1(t)$ and $r_2(t)$. My question is if $s_1(t)=s_2(t)$, is it true that $r_1(t) = r_2(t)$?

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    $\begingroup$ If the channel doesn't change, yes, if it does, no, that simple. Could you reformulate your question to make it easier to give non-trivial answers? I mean it's probably obvious that every channel changes over time, but if that change is slow compared to $T$ you can probably ignore it, otherwise you can't. $\endgroup$ – Matt L. Jul 12 at 18:45

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