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Official PYQ · 2006

GATE EC 2006 Set 1 Q60 — Continuous-time Signals

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The minimum step-size required for a Delta-Modulator operating at 32 K32 \mathrm{~K} samples/ sec\mathrm{sec} to track the signal (here u(t)u(t) is the unit-step function)
x(t)=125t(u(t)−u(t−1))+(250−125t)(u(t−1)−u(t−2))\begin{array}{l}x(t)=125 t(u(t)-u(t-1))+(250-125 t)(u(t-1) -u(t-2)) \end{array}
so that slope-overload is avoided, would be

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Answer: B

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