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Slope overload distortion in delta modulation can be reduced by :

  • A.Decreasing sample rate
  • B.Decreasing the step size
  • C.Increasing the differential gain
  • D.Increasing the step size

Answer: D

Slope overload is reduced by increasing the step size.

A delta modulator can change its staircase approximation by only one step \(\Delta\) per sample, so the steepest slope it can follow is \(\Delta f_{s}\). Slope overload occurs when the signal changes faster than that:

\[ \left| \frac{dm(t)}{dt} \right|_{max} \gt \Delta f_{s} \]

Raising \(\Delta\) (or the sampling rate) lets the staircase keep up. Decreasing the sample rate or the step size makes the overload worse; a smaller step reduces granular noise instead, which is why adaptive delta modulation varies the step. 'Differential gain' is not the controlling quantity.

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