Q335
A signal x(t) = sinc(αt), where α is a real constant, is the input to a linear time invariant system whose impulse response is h(t) = sinc(βt), where β is a real constant. If min(α, β) denotes the minimum of α and β and similarly, max(α, β) denotes the maximum of α and β, and K is a constant, which one of the following statements is true about the ( here, c ( x ) = ( x ) x ) output of the system?
A signal x(t) = sinc(αt), where α is a real constant, is the input to a linear time invariant system whose impulse response is h(t) = sinc(βt), where β is a real constant. If min(α, β) denotes the minimum of α and β and similarly, max(α, β) denotes the maximum of α and β, and K is a constant, which one of the following statements is true about the output of the system?
A.
It will be of the form K sinc(γt) where γ = min(α, β)
AnswerB.
It will be of the form K sinc(γt) where γ = max(α, β)
C.
It will be of the form K sinc(αt)
D.
It cannot be a sinc type of signal
Answer: Option A
Solution
Answer: Option A
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