l. A 12-bit analog-to-digital converter is used to sample an analog voltage. How
ID: 2081600 • Letter: L
Question
l. A 12-bit analog-to-digital converter is used to sample an analog voltage. How many quantization levels will be used to encode the sampled waveform? 2. A 500Hz sine wave is sampled using an analog-to-digital converter. What must be the minimum sampling frequency to ensure that the digitalized signal is an accurate representation of the original waveform? In practice, what sampling frequency should you use to make sure the frequency content of the reconstructed signal is correct? In practice, what sampling frequency should you use to make sure the shape of the reconstructed signal is correct? 3. Consider the signal shown in Figure 3 below.Explanation / Answer
1. 212 = 4096 quantization levels (codes) required
2. given highest frequency component present in sine wave as fm=500Hz then the minimum sampling frequency should be equal to 2*fm i.e 2*500=1000Hz
the sampling frequency should be > 2*fm
3. given sampling frequency is set to fs=700Hz
the sampling frequency of given signal is f=(1/T)=1/(1*10^-3)=1000Hz
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