Discussion
A delta modulator's step is halved while its clock is doubled. Its maximum followable slope
Answer: B
The slope limit is the product of step and clock rate:
\[ \begin{aligned} \text{before} &: \delta f_{s} \\ \text{after} &: \tfrac{\delta}{2} \times 2f_{s} = \delta f_{s} \end{aligned} \]
so it is unchanged, while the granular noise improves because the steps are smaller. That is precisely the trade a faster clock buys: the same tracking ability with finer resolution, at the cost of bit rate. Recognising which combination of parameters a limit depends on shows immediately which changes cancel.
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