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

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。

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.