占空比计算器 — 公式
## Quantization Noise in ADCs
When an analog signal is digitized, the rounding to discrete levels introduces quantization noise uniformly distributed over one LSB.
### Formulas
**Ideal SNR = 6.02 x N + 1.76 dB** (for a full-scale sine wave)
**LSB = V_full_scale / 2^N**
**Quantization Noise RMS = LSB / sqrt(12)**
Each additional bit of resolution adds approximately 6 dB of SNR. Real ADCs achieve slightly less due to thermal noise, linearity errors, and timing jitter.
When an analog signal is digitized, the rounding to discrete levels introduces quantization noise uniformly distributed over one LSB.
### Formulas
**Ideal SNR = 6.02 x N + 1.76 dB** (for a full-scale sine wave)
**LSB = V_full_scale / 2^N**
**Quantization Noise RMS = LSB / sqrt(12)**
Each additional bit of resolution adds approximately 6 dB of SNR. Real ADCs achieve slightly less due to thermal noise, linearity errors, and timing jitter.
计算示例
A 12-bit ADC with 3.3 V full-scale range.
- Ideal SNR: 6.02 x 12 + 1.76 = 74.0 dB
- LSB: 3.3 / 4096 = 0.000806 V = 0.806 mV
- Quantization noise RMS: 0.806 / sqrt(12) = 0.233 mV
- Quantization levels: 2^12 = 4096