Multiple choice

A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size $\triangle$ of the delta modulator are 20,000 samples per second and 0.1V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is

  1. $\frac{1}{2\pi}$
  2. $\frac{1}{\pi}$
  3. $\frac{2}{\pi}$
  4. $\pi$
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