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Multiple Choice Questions & Answers (MCQs) on “Z Transform”.

1. The Z-Transform X(z) of a discrete time signal x(n) is defined as ____________ a) ∑∞n=−∞x(n)zn b) ∑∞n=−∞x(n)z−n c) ∑∞n=0x(n)zn d) None of the mentioned Answer: b Explanation: The z-transform of a real discrete time sequence x(n) is defined as a power of ‘z’ which is equal to X(z)=∑∞n=−∞x(n)z−n, where ‘z’ is a complex variable.

2. What is the set of all values of z for which X(z) attains a finite value? a) Radius of convergence b) Radius of divergence c) Feasible solution d) None of the mentioned Answer: a Explanation: Since X(z) is a infinite power series, it is defined only at few values of z. The set of all values of z where X(z) converges to a finite value is called as Radius of Convergence(ROC).

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