A time series sound wave x(t) has a fundamental frequency component at 2 kHz with an

amplitude of 2 Volts. It is picked up and then gone through a non-linear amplifier that

resulted in the second and third order harmonics at 1 Volt and 0.5 Volt respectively. The

output of the amplifier is input to anti-aliasing filter of a linear PCM system. The output

of the filter is then eventually fed to an 8-bit 2's complement ADC of the PCM system.

(b) Execute the Nyquist sampling rate of the anti-aliasing filter. (3 marks)

(c) Determine the ADC's quantization step that will cover the voltage swing of 3

Volts peak-to-peak of the input signal. Hence, obtain the ADC's quantization

error range if truncation rule is used. (6 marks)

(d) Obtain the binary representation for a given sound signal input having an

instantaneous input of -1.3 Volts with the obtained quantization step in part (c). (8 marks)