TIFR ECE 2010 | Question: 13

Question

Output of a linear system with input $x(t)$ is given by
\[
y(t)=\int_{-\infty}^{\infty} h(t, \tau) x(\tau) .
\]
The system is time invariant if

• A. $h(t, \tau)=h(t-\tau)$
• B. $h(t, \tau)=h(\tau)$
• C. $h(t, \tau)=h(t)$
• D. $h(t, \tau)=$ constant
• E. $h(t, \tau)$ is a continuous function of $t$