GATE 2014 EC (EC1) – Question 29
A continuous LTI filter has $h(t)=3$ for $0\le t\le3$, and zero otherwise. A constant input of value 5 is applied. Find steady-state output.
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Correct answer: 44 to 46
Explanation
For an LTI system the steady response to a constant input is the input multiplied by the DC gain ∫h(t)dt. The rectangular impulse response has area3×3=9. Thus the output is5×9=**45**. The finite support of h makes the convolution integral well-defined.