Question

Consider the signal, $x_1\left(t\right)$ shown below,



Which of the following represents $x_2\left(t\right)=-x_1\left(t\right)rect\left(\frac{-t+1}{2}\right)?$

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$rect(\frac{-t}{2}+\frac{1}{2}),$

rect(t) =
rect $(t+\frac{1}{2})$ =
rect $(\frac{t}{2}+\frac{1}{2})$ =
rect $(-\frac{t}{2}+\frac{1}{2})$ =
$-x\left(t\right)=$
$x_2\left(t\right)=-x\left(t\right).rect(-\frac{t}{2}+\frac{1}{2})$ =