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The poles of the transfer function of a sinusoidal system can represent the frequency of the impulse response of the sinusoidal system.

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The poles of the transfer function of a sinusoidal system can represent the frequency of the impulse response of the sinusoidal system.

(a) True

(b) False

This question was posed to me in an online interview.

Query is from Impulse Response in portion Control System Applications of MATLAB

1 Answer

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The correct answer is (a) True

For explanation I would say: The lapalce transform of the sinusoid represents the frequency of the signal as a pole. Since the response is sinusoidal, the transfer function is the laplace transform of the impulse response which contains the frequency as the pole of the sinusoidal system.

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