Signals - question due to sampling
This is not an answer.  I am just trying to restate the question so that the equation is dimensionally homogeneous:



I don't have an idea how to start it. Help pls :)

$$m(t) = z(t) + \tfrac{1}{4}\operatorname{sinc}\left(\tfrac{t-T}{T}\right)$$ 

We have some signal $z(t)=\left(\operatorname{sinc}(\tfrac{t}{T})\right)^2$. How often should the $m(t)$ signal be sampled to insure correct signal reconstruction?



this question can be meaningfully answered.

let's define:

$$ \operatorname{sinc}(u) \triangleq \begin{cases} 
\frac{\sin(\pi u)}{\pi u} \qquad &amp; u \ne 0 \\
1 \qquad &amp; u = 0 \\
\end{cases} $$

$$ \Pi(u) \triangleq \begin{cases} 
1 \qquad &amp; |u| &lt; \tfrac12 \\
\tfrac12 \qquad &amp; |u| = \tfrac12 \\
0 \qquad &amp; |u| &gt; \tfrac12 \\
\end{cases} $$

$$ \Lambda(u) \triangleq \begin{cases} 
1 - |u| \qquad &amp; |u| \le 1 \\
0 \qquad &amp; |u| &gt; 1 \\
\end{cases} $$