A signal carries amplitude of 2 Vpp. Quantization error is observed at 0.2Vpp af

Question

A signal carries amplitude of 2 Vpp. Quantization error is observed at 0.2Vpp after sampling and quantization of this signal. What will be SQNR (dB)

in this case?

a) 6.02 dB b) 10 dB c) 20 dB

Consider a typical 8-bit ADC chip allow input in a range of +/- 2.4Vp. You have applied sine wave input of +/- 1Vp to representation into a digital signal. Applied sine wave frequency and sampling rates are 10Hz and 100 Hz, respectively. Which one is the prominent error in this case?

a) high approximation due to low input amplitude

b) high approximation due to high sampling rate

c) high approximation due to only 8 bit representation

Consider a typical 8-bit ADC chip allow input in a range of +/- 2.4Vp. You have applied sine wave input of +/- 1Vp to representation into a digital signal. You have sampling frequency is ten times to the input frequency. Roughly, how much maximum SQNR can you get from this analog to digital conversion?

a) 48.16 dB b) 43.9 dB c) 10 dB

How to avoid granular distortion in the quantizer. Select all that apply.

a) increase sampling frequency

b) increase signal amplitude to better fit in allowable range od ADC

c) increase number of bits in output digital representation

d) increase overall allowable amplitude range in ADC process

Please help me with these questions and thank you very much in advance.

Explanation / Answer

1. SQNR=20log(2Vpp/0.2Vpp)=20dB

2. More the number of bits lesser will be the approximation error as there will be more number of selectable output values to choose from.

3. Maximum SQNR= 20log(2^N)......(where N represents number of bits)

= 20log(2^8)

= 20log(256)

= 48.16dB

4. Within the extreme limits of the supported range, the amount of spacing between the selectable output values of a quantizer is referred to as its granularity, and the error introduced by this spacing is referred to as granular distortion. Increase in number of bits reduces spacing between the selectable output values and hence the error.

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