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Probabilistic characteristics of radiocommunication systems that use time-frequency matrix signals

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N.P. Khmyrova – Ph.D. (Eng.), Leading Research Scientist, PJSC «ONIIP». E–mail: info@oniip.ru


The algorithm of receipt of time-frequency matrix system signals within the process of bit-by-bit operational frequency-hopping is presented in the article. The method of calculation of symbol-error probability according to generalized criterion of probability maximum and examples of noise immunity curves calculated for the Rayleigh fading channel are provided. Incoherence of the processing algorithm determines availability of optimal number of transmitted elements in the form of time-frequency matrix symbols depending on signal/noise ratio. The methods of the best configuration of signal-code sequence parameters that take into account the time-frequency matrix systems volume, number of the symbol elements transmitted, splitting of excessiveness and adjustment of coding stage fields dimension. For the variant of time-frequency matrix-16 signal usage within radiating of nine elements the energy gain of messages single-stage coding with Reed-Solomon code (2,5 dB) and the additional gain within concatenated two-stage coding (1 dB) is estimated. The article describes the algorithm of synchronization of radio line QSY with bit-by-bit operational frequency-hopping based on the usage of variable time-frequency matrices sequence. The algorithm includes operations of multialternative encountering, i.e. encountering and recognition of the synchronization signals and measuring of their incoming time. Optimal criterion of the algorithm functioning is minimization of missing probability volume and invalid recognition of signals within specified probability of false synchronization. The methos and examples of synchronization system probabilistic characteristics calculation within analysis of time-frequency matrix convolution on level. Modeling determines the energy gain due to introduction of additional analysis of their duration (1 dB).
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