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In this experiment the bit error rate (BER) vs ${E}_{b}/{N}_{0}$ of QPSK over an AWGN channel is analyzed.

## Start

The simulation starts with a setting of ${E}_{b}/{N}_{0}=0dB$. This yields to this bit error probability:

${p}_{b}=\frac{1}{2}erfc\left(\sqrt{\frac{{E}_{b}}{{N}_{0}}}\right)=\frac{1}{2}erfc\left(1\right)=\mathrm{7,865}E-02$ |

$\frac{{E}_{b}}{{N}_{0}}$
[dB] |
Bit error probability ${p}_{b}$ |
---|---|

-2 | 1,306E-01 |

0 | 7,865E-02 |

2 | 3,751E-02 |

4 | 1,250E-02 |

6 | 2,388E-03 |

8 | 1,909E-04 |

10 | 3,872E-06 |

## Experiment

**Now adjust
${E}_{b}/{N}_{0}$
. Measure the corresponding BER and compare it to the analytical bit error probability.**