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The impulse response of a sinusoid ________(a) will have 2 poles in the s-plane(b) will have 3 poles in the s-plane(c) will have 1 pole frequency in the s-plane(d) will have only 1 conjugate pole in the s-planeThis question was posed to me in unit test.My question is from Impulse Response in division Control System Applications of MATLAB

Answer»

The correct CHOICE is (a) will have 2 poles in the s-plane

Best explanation: The transfer function of the system, whose IMPULSE response is a sinusoid, will have 2 roots which SATISFY the CHARACTERISTIC EQUATION. Hence, there will be two poles which are complex conjugate to each other.



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