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Calculadora de Tasa de Error de Bit (BER)

Calcula la tasa de error de bit (BER) a partir de Eb/N0 para modulaciones BPSK, QPSK, 8PSK y 16QAM.

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Fórmula

BER=12erfc(Eb/N0)BER = \frac{1}{2} \text{erfc}\left(\sqrt{E_b/N_0}\right)
BERBit error rate
Eb/N0Energy per bit to noise density (dB)
erfcComplementary error function

Cómo Funciona

Bit Error Rate (BER) is a fundamental metric in digital communication systems that quantifies the rate of transmission errors in data transmission. It represents the number of erroneous bits divided by the total number of transmitted bits under specific signal-to-noise ratio conditions. Different modulation techniques like BPSK, QPSK, 8PSK, and 16QAM have unique mathematical models for calculating their theoretical bit error performance.

Ejemplo Resuelto

Problem: Calculate the Bit Error Rate for a QPSK system with Eb/N0 = 10 dB Solution: 1. Convert Eb/N0 from dB to linear: 10 dB = 10 log10(x), so x ≈ 10 2. Use BPSK/QPSK formula: BER = ½·erfc(√(10)) 3. Compute erfc: BER ≈ 0.0046 or 0.46%

Consejos Prácticos

  • Always convert Eb/N0 to appropriate linear scale before calculation
  • Use precise mathematical tables or computational tools for erfc
  • Verify calculation matches the specific modulation scheme used

Errores Comunes

  • Confusing Eb/N0 linear value with decibel representation
  • Not accounting for specific modulation technique's unique BER formula
  • Neglecting to use complementary error function (erfc) in calculations

Preguntas Frecuentes

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