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Electronics and Communication Engineering - Exam Questions Papers - Discussion

Discussion Forum : Exam Questions Papers - Exam Paper 2 (Q.No. 33)
Exam Questions Papers
33.
The impulse response h(t) of a linear time-invariant continuous time system is described by h(t) = exp (at) u(t) + exp (βt) u (- t), where u(t) denotes the unit step function, and a and β are constants. This system is stable if
a is positive and β is positive
a is negative and β is negative
a is positive and β is negative
a is negative and β is positive
Answer: Option
Explanation:

h(t) = e+atu(t) + eβtu(- t)

For h(t) to be stableh(t) dt < ∞

It will happen when a is negative and β is positive.

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