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The impulse response of a discrete time system is the inverse Z-transform of the transfer function of the system in z-domain.

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The impulse response of a discrete time system is the inverse Z-transform of the transfer function of the system in z-domain.

(a) True

(b) False

The question was posed to me in my homework.

Asked question is from Z Transform topic in division Digital Signal Processing of MATLAB

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Right answer is (a) True

Explanation: The Z-transform of the impulse response of discrete time system gives the transfer function of the system in z-domain. This can also be achieved from the impulse invariance transformation. Hence, the converse should be true and the above statement is true.

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