Question

Assertion (A): Z-transform is used to analyze discrete time systems and it is also called pulsed transfer function approach.

Reason (R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.

(a) Both A and R are true and R is correct explanation of A

(b) Both A and R are true and R is not correct Explanation of A

(c) A is True and R is false

(d) A is False and R is true

This question was posed to me during an online exam.

This is a very interesting question from The inverse z-transform and Response of Linear Discrete Systrems in section Digital Control Systems of Control Systems

Answer 1

Correct answer is (a) Both A and R are true and R is correct explanation of A

The best explanation: Z-transform is used to convert the discrete time systems into the z domain and it is also called pulsed transfer function approach that is justified only at the sampling instants.