4.a. Test the stability of LTI systems,whose impulse responses are gi…

Question

4.a. Test the stability of LTI systems,whose impulse responses are given below:

i. $h(t) = e^{-3tu}(t)$

ii. $h(t) = e^{-t} \sin t \; u(t)$

b. Determine complete response of first order discrete time system described by difference equation,

$y(n) = -0.5y(n-1) + x(n)$

When input is unit step, and width initial condition

i. $y(-1) = 0$

ii. $y(-1) = 1/3$

Related pages

• Difference Equations — topic
• Signals and Systems syllabus