AD/DA conversion
Which is the approximate formula for the signal-to-noise ratio (SNR) of an ideal N-bit AD converter, set by quantization noise? (For a full-scale sine-wave input)
- A6.02N + 1.76 dB
- B3N dB
- C20N dB
Show answer and explanation
Answer: A. 6.02N + 1.76 dB
For an ideal ADC, SNR ≈ 6.02N + 1.76 dB, improving by about 6 dB for each additional bit. For example, 12 bits give about 74 dB. Real ADCs fall short of this because of thermal noise, distortion and other factors.