Abstract

This paper introduces the structure of a Q-ary pulse position modulation (PPM) signal and presents a noncoherent suboptimal receiver and a noncoherent optimal receiver. Aiming at addressing the lack of an accurate theoretical formula of the bit error rate (BER) of a Q-ary PPM receiver in the additive white Gaussian noise (AWGN) channel in the existing literature, the theoretical formulas of the BER of a noncoherent suboptimal receiver and noncoherent optimal receiver are derived, respectively. The simulation results verify the correctness of the theoretical formulas. The theoretical formulas can be applied to a Q-ary PPM system including binary PPM. In addition, the analysis shows that the larger the Q, the better the error performance of the receiver and that the error performance of the optimal receiver is about 2 dB better than that of the suboptimal receiver. The relationship between the threshold coefficient of the suboptimal receiver and the error performance is also given.

Highlights

  • Pulse position modulation (PPM) technology is a discrete pulse communication technology that is different from continuous wave communication technology

  • As the noncoherent PPM system has the advantages of simple implementation, we mainly study the noncoherent PPM system and introduce the suboptimal receiver and the optimal receiver of the noncoherent Q-ary PPM system, respectively

  • This paper introduces the PPM signal structure and introduces the decision method of a noncoherent PPM suboptimal receiver and optimal receiver

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Summary

Introduction

Pulse position modulation (PPM) technology is a discrete pulse communication technology that is different from continuous wave communication technology. There are many studies on the bit error performance of the Q-ary PPM system in the field of optical communication, but most of them are based on the Poisson channel. These results are not applicable to the scenario of the AWGN channel [3,21,22].

Structure of PPM Signal
Suboptimal Noncoherent PPM Receiver
Optimal Noncoherent PPM Receiver
Performance Analysis
Performance of Suboptimal Receiver
Performance of Optimal Receiver
BER Performance of Suboptimal Receiver
BER Performance of Optimal Receiver
Comparison Between the Numerical and Theoretical Results
BER Performance in Rayleigh Fading Channel
Conclusions

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