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Engineering · Electrical Engineering
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(d) x(t) is a sum of 3 sinusoids whereby each takes the form an sin (2Tfn + 0n) where n-1,2, and 3. The parameters of the three sinusoids have values: f1- 14 Hz, f2- 9 Hz and f3-25 Hz; The resulting waveform evaluated from t = 0 to t = 200 ms is plotted and shown in Fig. Q1(d). Let x(t) be input to an analogue-digital convertor (ADC) Amplitude versus Time 0 -1 -2 -3 0.1 Time (s) 0.02 0.04 0.06 0.08 0.12 0.14 0.16 0.18 0.2 Fig. Q1(d) i Design a 3-bit uniform quantiser for x(t), whereby the ADC has knowledge of the amplitudes an of the waveform. State clearly the maximum and minimum voltages, the decision regions, the output voltage of the quantiser and the boundaries of the quantiser.i) Using Table Q1(d) below, reproduce and complete the table in your answer booklet. Table Q1(d) t(ms)x(t) Quantizer Output CodewordSquared Error Voltage (V) (V2) 0 20 40 60 80 100 Further calculate the mean square-error of the quantiser in dB from t-0 ms to t100 ms.

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