0 0 votes Let an input $x\left ( t \right ) = 2 \sin \left ( 10 \pi t \right ) + 5 \cos \left ( 15 \pi t \right ) + 7 \sin \left ( 42 \pi t \right ) + 4 \cos \left ( 45 \pi t \right )$ is passed through an $\text{LTI}$ system having an impulse response, $$h\left ( t \right ) = 2\left ( \frac{\sin \left ( 10 \pi t \right )}{\pi t} \right ) \cos \left ( 40 \pi t \right )$$ The output of the system is $2 \sin \left ( 10 \pi t \right ) + 5 \cos \left ( 15 \pi t \right )$ $5 \cos \left ( 15 \pi t \right ) + 7 \sin \left ( 42 \pi t \right )$ $7 \sin \left ( 42 \pi t \right ) + 4 \cos \left ( 45 \pi t \right )$ $2 \sin \left ( 10 \pi t \right ) + 4 \cos \left ( 45 \pi t \right )$ Signals and Systems gate2022-ee signals-and-systems analog-and-digital-electronics + – Arjun 209 views answer comment Share Follow 0 reply Please log in or register to add a comment.
