基于全概率公式的M-APSK误码率分析模型

郇浩; 任科学

doi:10.11959/j.issn.1000-436x.2024126

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基于全概率公式的M-APSK误码率分析模型

学术论文 | 更新时间：2024-08-09

- 基于全概率公式的M-APSK误码率分析模型
- Bit error rate analysis model of M-APSK based on total probability formula
- 通信学报 2024年45卷第7期页码：127-137
- 作者机构：
  
  北京理工大学信息与电子学院，北京 100081
- 作者简介：
  
  [ "郇浩（1983- ），男，河南郑州人，博士，北京理工大学副教授、博士生导师，主要研究方向为多维度信号与信息处理、空间电磁频谱感知、空天基特种通信等。" ]
  [ "任科学（1993- ），男，河南周口人，北京理工大学硕士生，主要研究方向为数字信号处理、信息安全与对抗等。" ]
- 基金信息：
  
  国家自然科学基金资助项目;The National Natural Science Foundation of China(62027801)
- DOI：10.11959/j.issn.1000-436x.2024126
  中图分类号： TN911.3
- 收稿日期：2024-03-18，
  
  修回日期：2024-07-02，
  
  纸质出版日期：2024-07-25
- 稿件说明：
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郇浩,任科学.基于全概率公式的M-APSK误码率分析模型[J].通信学报,2024,45(07):127-137.

HUAN Hao,REN Kexue.Bit error rate analysis model of M-APSK based on total probability formula[J].Journal on Communications,2024,45(07):127-137.
郇浩,任科学.基于全概率公式的M-APSK误码率分析模型[J].通信学报,2024,45(07):127-137. DOI： 10.11959/j.issn.1000-436x.2024126.

HUAN Hao,REN Kexue.Bit error rate analysis model of M-APSK based on total probability formula[J].Journal on Communications,2024,45(07):127-137. DOI： 10.11959/j.issn.1000-436x.2024126.

摘要

为有效评估加性白高斯噪声信道中M-APSK的性能，提出了一种基于全概率公式的理论误码率分析模型。首先根据星座点分布及其编码特点对星座平面进行区域划分，然后由接收符号落在相应区域的概率推导出各比特的判决错误概率表达式，最后得到理论误码率的精确闭式解。以16APSK和32APSK为例，推导出了其各类星座图的理论误码率计算公式，与Monte Carlo仿真结果非常吻合。模型具有通用性，PSK、QAM、PAM、APSK等调制方式均可利用该模型得到理论误码率的精确闭式解。相较于依赖大量数值计算的复杂二维概率积分方法，所提模型能够更方便地给出M-APSK的误码率性能。

Abstract

To efficiently evaluate the performance of M-APSK modulation scheme over an additive white Gaussian noise channel

a theoretical bit error rate analysis model was proposed based on total probability formula. Firstly

the constellation plane was divided into regions according to the distribution of constellation points and their encoding characteristics. Then

the probability expression of the decision error of each bit was derived from the probability of the received symbol falling in the corresponding region. Finally

the exact closed-form solution of theoretical bit error rate was obtained. Taking 16APSK and 32APSK as examples

the theoretical bit error rate formula of all kinds of constellations was derived

which was in excellent agreement with Monte Carlo simulation. This model is universal

PSK

QAM

PAM

APSK and other modulation methods can use this model to obtain the exact closed-form solution of theoretical bit error rate. Compared with the complex two-dimensional probability integral method which relies on a large number of numerical calculations

the proposed model can give the bit error rate performance of M-APSK more conveniently.

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references

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