Question

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-plane

This question was posed to me in unit test.

My question is from Impulse Response in division Control System Applications of MATLAB

Answer 1

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.