1 1 vote The impulse response $h(t)$ of a linear time-invariant continuous time system is given by $h(t)=\exp (-2 t) u(t)$, where $u(t)$ denotes the unit step function. The output of this system, to the sinusoidal input $x(t)=2 \cos (2 t)$ for all time $t,$ is $0$ $2^{-0.25} \cos (2 t-0.125 \pi)$ $2^{-0.5} \cos (2 t-0.125 \pi)$ $2^{-0.5} \cos (2 t-0.25 \pi)$ Continuous-time Signals gate2008-ec continuous-time-signals linear-time-invariant-systems impulse-response signals-and-systems + – admin 192 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.