A method for calculating the probability of a bit error of optimal character-by-character coherent reception of multiple phase-manipulated signals in the presence of narrowband noise interference in the radio communication channe


Аuthors

Ageev F. I.*, Voznuk V. V., Kutsenko E. V.

Mlitary spaсe Aсademy named after A.F. Mozhaisky, Saint Petersburg, Russia

*e-mail: vka@mil.ru

Abstract

In this paper, we solve the problem of developing a methodology for estimating the probability of a symbolic error of optimal coherent reception of signals with MPSK modulation (multiple phase-shift keying – multiphase manipulation) in the presence of unintentional narrowband Gaussian noise interference with a uniform spectrum (USGP). It is assumed that this interference acts in the bandwidth of the optimal (relative to white Gaussian noise) receiver of MPSK signals of the correlation type. In the course of the research, analytical expressions were obtained to calculate the probability of a symbolic error of optimal coherent reception of MPSK signals under the conditions of the receiver's and UHF's operating intrinsic noise. This technique is a development of the well-known methodological approach used to assess the error probabilities of optimal character-by-character coherent reception of MPSK signals against a background of white Gaussian noise (BGSH) and expands its descriptive capabilities by taking into account such factors of the USGP as the aiming relative to the carrier frequency of the signal and the degree of overlap of the signal spectrum. As a result of the conducted research, new formula relations and results of estimating the probability of a symbolic error of optimal coherent reception of MPSK signals under the conditions of the receiver's and UHF's operating intrinsic noise were obtained. It is shown that the presence of a UHF operating within the signal band leads to influences varying in degree of influence on the noise immunity of the radio line, and at the same time, the degree of influence on noise immunity significantly depends on the energy and frequency characteristics of both the interference and the signal.

Keywords:

multiphase phase-manipulated signal, distribution law and probability density, correlation receiver, interference immunity of the radio line, internal receiver noise, narrowband Gaussian noise interference with a uniform spectrum, probability of symbolic error

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