Дослідження ефективності адаптивного методу декодування алгебраїчних згорткових кодів перемежування

Abstract

It is shown that algebraic interleaved convolutional codes are widely used in the construction of telecommunication systems. The mathematical model of telecommunication system has been developed to evaluate the performance of adaptive and algebraic decoding of these codes in the communication channel with faction of errors. The scheme and purpose of the basic elements of this mathematical model are presented. The developed model takes into account the features of the transmission of information using algebraic interleaved convolutional codes depending on the parameters of the selected code, characteristics of interference in the communication channel and other factors. The process of information processing in each element of the presented mathematical model of telecommunication system is considered. The settings for the software implementation of the developed model are given: code type, code parameters, signal/noise ratio, number of information messages, parameters of the adaptive decoding method. As a result of the conducted researches it is determined that for given values of error coefficient and selected algebraic interleaved convolutional codes the energy gain from encoding when applying adaptive decoding method in comparison with algebraic decoding method is from 4.1 dB to 6.5 dB. However, reducing the encoding speed and increasing the depth of interleaving leads to a decrease in the energy efficiency of the encoding using the adaptive decoding method. It also follows from the obtained results that in the specified signal/noise ratio for the communication channel with Rayleigh scattering the adaptive decoding method compared to the algebraic method provides an average energy gain from encoding of about 5.5 dB.