Zero-Order Hold Transfer Function

Correct Answer

D — (1 − e^(−sT))/s

Concept and Reasoning

A zero-order hold keeps each sampled value constant for one sampling period T. Its impulse response is a rectangular pulse of width T, whose Laplace transform is (1−e⁻ˢᵀ)/s.

Calculation / Key Relation

GZOH(s)=(1−e⁻ˢᵀ)/s

Exam Takeaway

Rectangular hold pulse → integrate e⁻ˢᵗ from 0 to T.

Common Mistake

Do not omit the division by s.