Question 3
1 pts
Consider a linear time-invariant system in which $H(j\omega)$ equals 2
in frequency band A, 3 in frequency band B, and 2 in frequency
band C. Further suppose the input to this system is
$x(t) = ax_1(t) + bx_2(t) + cx_3(t)$, where $a = 4$, $b = 3$, and $c = 5$, and where $x_1(t)$ only has frequency content in frequency band
A, $x_2(t)$ only has frequency content in frequency band B, and
$x_3(t)$ only has frequency content in frequency band C. The output
can be written as $y(t) = dx_1(t) + ex_2(t) + fx_3(t)$. What is
$d + e + f$?