N.V. Savischenko1, A. Issa2, A.S. Ishimov3, E.A. Popov4

1-3 Military Academy of Communications n.a. Marshal of the Soviet Union S.M. Budyonny (Saint-Petersburg, Russia)

4 Peter the Great St. Petersburg Polytechnic University (Saint-Petersburg, Russia)

Formulation of the problem. With the improvement of wireless communication means, the need for modeling communication channels has increased, since the fading models traditionally used for this purpose based on the Rayleigh, Rice, Nakagami-m and one-sided normal distribution do not always adequately correspond to empirical data. To solve this problem, a fading model is needed, which includes both classical fading models and new ones, for example, a mathematical model of κ-µ fading, which provides good agreement with experimental data due to its versatility and flexibility. The tasks of communication theory include the issues of determining such characteristics of an information transmission system as noise immunity (error probability) and transmission speed. Quantitative characteristics allows you to determine both the quality and quantity of the transmitted information. Calculation of the error probability in a communication channel with frequency-nonselective fading makes it possible to numerically evaluate the loss or gain in noise immunity when using signal structures in modern modems.

Target. Development of a methodology for calculating the probability of a symbolic (bit) error in the case of coherent reception of signal structures in a communication channel with common (frequency-non-selective) fading described by generalized kappa-mu distribution (respectively, we call generalized kappa-mu fading for short) and additive white Gaussian noise .

Results. A mathematical formulation of the problem of calculating the probability of erroneous reception of multi-position signals in a communication channel with common fading, described by κ-µ-distributions and additive white Gaussian noise (AWGN), is formulated. A method for calculating the probabilities of symbolic and bit errors in a communication system with multiposition signals is proposed. The relationship between the solution of the problem and the theory of special functions is shown.

Practical significance. Based on the developed methodology for calculating the probability of a symbolic (bit) error in the reception of multi-position signal structures used in promising (under development) telecommunication standards, it is possible to obtain an estimate of their potential noise immunity, which will make it possible to objectively compare signal structures with each other and correctly choose the optimal modem for the developer of the developed modem, or rational option.

Savischenko N.V., Issa A., Ishimov A.S., Popov E.A. Calculation of error probability in a channel with generalized κ-μ fading and additive white gaussian noise. Radiotekhnika. 2023. V. 87. № 3. P. 109−121. DOI: https://doi.org/10.18127/j00338486-202303-11 (In Russian)

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