AD/DA conversion
With simple oversampling and no noise shaping, how much does quantization noise improve when the sampling frequency is quadrupled?
- ANo improvement
- BAbout 6 dB (about 1 bit)
- CAbout 24 dB (about 4 bits)
Show answer and explanation
Answer: B. About 6 dB (about 1 bit)
The total quantization noise is fixed, so raising the sampling frequency spreads it thinly over a wider frequency range. In-band noise decreases by 10 log₁₀(4) ≈ 6 dB, an improvement of about 1 bit. Delta-sigma converters combine this with noise shaping to achieve much larger improvements.