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ECE · Q187

Signal Processing

Engineering and GATE · ECE · question 187

Q187

The impulse response h(t) of a linear time-invariant continuous time system is described by h(t) = exp(αt)u(t) + exp(βt)u(-t), where u(t) denotes the unit step function, and α and β are real constants. This system is stable if

A.
α is positive and β is positive
B.
α is negative and β is negative
C.
α is positive and β is negative
D.
α is negative and β is positive
Answer

Answer: Option D

Solution

Answer: Option D
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