Bit error rate analysis model of M-APSK based on total probability formula
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 constella-tion 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.Tak-ing 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.Com-pared with the complex two-dimensional probability integral method which relies on a large number of numerical calcu-lations,the proposed model can give the bit error rate performance of M-APSK more conveniently.
M-APSKtheoretical bit error ratecalculation formulaclosed-form solution
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