RESEARCH AND ANALYSIS MATHEMATICAL MODEL FOR EVALUATING NOISE IMMUNITY IN TELECOMMUNICATION SYSTEM

Bayram G. Ibrahimov, Azerbaijan Technical University, Baku, Azerbaijan, i.bayram@mail.ru
Faxri I. Huseynov, Institute of Control Systems of the National Academy of Sciences of Azerbaijan Baku, Azerbaijan, g.faxri@mail.ru

DOI: 10.36724/2664-066X-2020-6-1-2-6

SYNCHROINFO JOURNAL. Volume 6, Number 1 (2020). P. 2-6.

Abstract

The universal widespread use of computers and the digital processing caused a kind of mental shift among some of specialist users. Charmed with unlimited might of Computer in its digital Virtual World, they overlooked the every non-digital means out of the computer. The channel of connection with external Real World also was ignored. Meanwh.
The methods increasing the noise immunity of the paths systems for transmitting and receiving discrete packet messages in a telecommunication system that operates under the influence unintended interference sources are analyzed. In order to improve the potential noise immunity of the incoherent method receiving discrete messages, effective modulation schemes and noise-resistant coding are investigated.
The aim of the article is to study methods for increasing the reliability transmission and to develop a mathematical model (MM) for evaluating noise immunity in a telecommunication system under the influence various sources of interference.
As a result of the study, a new approach to constructing a mathematical model for evaluating the noise immunity characteristics in telecommunication system is proposed. The proposed mathematical model takes into account indicators communication quality, spectral efficiency, effective modulation and coding methods when providing multimedia services to users.
Based on the proposed mathematical model, complex noise immunity indicators have been studied as the probability bit errors for a given signal to noise ratio and bit rate, as well as energy efficiency indicators message transmission and reception systems for incoherent reception. Important expressions have been obtained for calculating the basic characteristics of reliability when receiving messages using a modulation and coding scheme.
An analysis is made of the advantage using an M-PSK (M-ary Phase Shift Keying) type modulation scheme and a Reed-Solomon code based on the energy gain coding, which minimizes the reception bit error rate and improves the energy transfer coefficient for incoherent reception. For paths systems for transmitting, processing and receiving discrete signals that align the signal in the frequency and time domain, structural schemes and principles of the optimal receiver using a matched filter and threshold devices are presented.
On the basis of the Communications Toolbox extension package and the standard Matlab environment, telecommunication systems with a noise-resistant receiver for incoherent reception were calculated and simulated. Using a graphical environment, BERTool calculates and builds BER plots for a given range signal-to-noise ratios.
Based on the BERTool model, a graphical dependence of the probability bit errors on the signal-to-noise ratio is constructed for a given bit rate and code rate. The dependency graphs clearly demonstrate the improvement in the level of the coefficient bit errors with an increase in the sets modulation signals of the M-PSK type and coding coefficient.It was found that an increase in the signal-to-noise ratio leads to a decrease in the probability bit errors that meet the requirements quality of communication and the level noise immunity reception. Based on the research and analysis, urgent tasks are identified, recommendations are developed to improve noise immunity using a modulation and coding scheme with an incoherent reception method.

The methods increasing the noise immunity of the paths systems for transmitting and receiving discrete packet messages in a telecommunication system that operates under the influence unintended interference sources are analyzed. In order to improve the potential noise immunity of the incoherent method receiving discrete messages, effective modulation schemes and noise-resistant coding are investigated.
The aim of the article is to study methods for increasing the reliability transmission and to develop a mathematical model (MM) for evaluating noise immunity in a telecommunication system under the influence various sources of interference.
As a result of the study, a new approach to constructing a mathematical model for evaluating the noise immunity characteristics in telecommunication system is proposed. The proposed mathematical model takes into account indicators communication quality, spectral efficiency, effective modulation and coding methods when providing multimedia services to users.
Based on the proposed mathematical model, complex noise immunity indicators have been studied as the probability bit errors for a given signal to noise ratio and bit rate, as well as energy efficiency indicators message transmission and reception systems for incoherent reception. Important expressions have been obtained for calculating the basic characteristics of reliability when receiving messages using a modulation and coding scheme.
An analysis is made of the advantage using an M-PSK (M-ary Phase Shift Keying) type modulation scheme and a Reed-Solomon code based on the energy gain coding, which minimizes the reception bit error rate and improves the energy transfer coefficient for incoherent reception. For paths systems for transmitting, processing and receiving discrete signals that align the signal in the frequency and time domain, structural schemes and principles of the optimal receiver using a matched filter and threshold devices are presented.
On the basis of the Communications Toolbox extension package and the standard Matlab environment, telecommunication systems with a noise-resistant receiver for incoherent reception were calculated and simulated. Using a graphical environment, BERTool calculates and builds BER plots for a given range signal-to-noise ratios.
Based on the BERTool model, a graphical dependence of the probability bit errors on the signal-to-noise ratio is constructed for a given bit rate and code rate. The dependency graphs clearly demonstrate the improvement in the level of the coefficient bit errors with an increase in the sets modulation signals of the M-PSK type and coding coefficient.It was found that an increase in the signal-to-noise ratio leads to a decrease in the probability bit errors that meet the requirements quality of communication and the level noise immunity reception. Based on the research and analysis, urgent tasks are identified, recommendations are developed to improve noise immunity using a modulation and coding scheme with an incoherent reception method.

Keywords: matched filter, Reed-Solomon code, incoherent reception, demodulator, bit error probability, unintentional interference, code speed, signal-to-noise ratio, channel transfer coefficient, code energy gain.

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