Error probability computing technique for symbol-by-symbol receiving of discrete messages in the presence of interference

Аuthors

Zvonarev V. V.^*, Popov A. S.^**, Khudik M. Y.^***

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

*e-mail: zvonarevvitalii@yandex.ru
**e-mail: arahar@mail.ru
***e-mail: mihail.hudik@yandex.ru

Abstract

The purpose of the article consists in obtaining analytical expression for of error probability computing of symbol-by-symbol receiving of discrete messages in the presence of interference.

The article presents the analysis of optimum symbol-by-symbol coherent correlation reception without noise, the principles of modems' circuit and constructive implementation, methods of achieving high noise immunity by transmission and reception of the phase-shifted keyed signals in satellite radio channels, in the TV transmission channels, computer simulation of the correlation receiver.

Mathematical formalization of the device in the form of equations is the solution of statistical problem of finding addition to the probability determination of the correct exceedance of one Gaussian random variable over another in the presence of negligible algorithm of optimum reception deliberate, harmonious and coherent with signal, noises.

The article presents the technique and results of error probability calculation of the of symbol-by-symbol reception of binary phase-shifted keyed opposite signals in the presence of the harmonious co-phased noise, not considered by the correlator. Optimum symbol-by-symbol reception of discrete messages is performed by the correlation receiver, or the matched filter configured on the signal in the noise absence, in the presence of receiver noises only.

The approach considered in article is necessary for calculation of error probability of character recognition the presence of the additive noises of various structures, which are not considered by the reception algorithm of the manipulated radio signals.

The developed technique application is prospective for potential noise stability calculation of the symbol-by-symbol reception in conditions of presence of the deliberate noises of various structures at a radio channel.

Keywords:

error probability, binary phase-shifted keyed signals (BPSK), correlation receiver, discrete messages, noise, coherent signals reception

References

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