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ECE · Q333

Signal Processing

Engineering and GATE · ECE · question 333

Q333

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

Answer: Option B

Solution

Answer: Option B
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