A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size Δ 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
\(\frac{1}{{2{\rm{\pi }}}}\)
2
\(\frac{1}{{\rm{\pi }}}\)
3
\(\frac{2}{{\rm{\pi }}}\)
4
\({\rm{\pi }}\)