Control SystemsMiddleuncommon

Shannon Sampling Theorem: fs > 2·fBW for Signal Recovery

Updated 18 May 2026

Contents & prerequisites

Prerequisites

Choice of Sampling Period T: Rule T < τ/10 to τ/20

Unlocks

Zero-Order Hold (ZOH): Equivalent Continuous-Time Model

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Shannon Sampling Theorem: fs > 2·fBW for Signal Recovery

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Learning

PreviousSeparation Principle: Observer and Controller Design Independent NextSolution to State Equation: x(t) = Φ(t)x(0) + ∫Φ(t-τ)Bu dτ

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