Question

For an LTI system with impulse response \(h(t)=e^{-2t}u(t)\), the system is

• A. Unstable
• B. Non-causal
• C. Stable but non-causal
• D. Stable and causal

Hint:

For continuous-time LTI systems, \[ \boxed{ \begin{aligned} \text{Causal} &\iff h(t)=0,\; t \text{Stable} &\iff \int_{-\infty}^{\infty}|h(t)|dt<\infty. \end{aligned} } \]

Answer 1

The Correct Option is D