Calculadora de Ruido de Cuantización — Fórmula

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.

Ejemplo Resuelto

A 12-bit ADC with 3.3 V full-scale range.

  1. Ideal SNR: 6.02 x 12 + 1.76 = 74.0 dB
  2. LSB: 3.3 / 4096 = 0.000806 V = 0.806 mV
  3. Quantization noise RMS: 0.806 / sqrt(12) = 0.233 mV
  4. Quantization levels: 2^12 = 4096