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Article title MATHEMATICAL MODEL OF THE INFORMATION CHANNEL WITH IMPROVED NOISE IMMUNITY FOR DVB-T2 DIGITAL SYSTEMS
Authors M. S. Svetlov, A. A. L'vov, D. V. Klenov, P. A. L'vov, M. K. Svetlova
Section SECTION II. MODELING OF COMPLEX SYSTEMS AND PROCESSES
Month, Year 05, 2018 @en
Index UDC
DOI
Abstract The work considers a version of DVB-T2 standard for digital video broadcasting (DVB) systems. The cascade coding structure, which forms the standard base, is analyzed. The work focuses on the key cascades that influence noise immunity characteristics the most: coding with Bose-Chaudhuri-Hocquenghem (BCH) code, coding with Low-Density Parity-Check (LDPC) code, COFDM modulation, inter-symbol guard interval insertion. The paper suggests the mathematical model of an information channel (IC) with improved noise immunity for the DVB-T2-based digital information transmission systems (DITS). The main innovations are the presence of the protective cascade with code based on code signal feature (CSF) and replacement of the COFDM modulation with a variant of a light-weight pulse-position modulation. The paper shortly describes the code signal feature-based code and lists the key properties of its code words. The main goal of the research is the noise immunity investigation and power efficiency analysis of the IC, founded on the suggested mathematical model. To achieve the given goal the minimal value of the signal-to-noise ratio (SNR), which guarantees a certain level of bit error rate (BER), is calculated and compared to the known data for the typical DVB-T2-based DVB systems. To compute the needed SNR value, the proposed mathematical model is simplified by exclusion of several code cascades and additional assumptions imposition on incoming data structure. The simplified IC model structure contains three codecs: based on the BCH, LDPC codes and code with CSF. The noise in the communication channel (CC) is modeled by random additive pulses. The pulses distribution is defined by the Poisson law, whereas their amplitudes are distributed normally with zero expectation and positive variance, which corresponds to the white Gaussian noise. To calculate the power efficiency, direct and inverse problems are set. The direct problem is a computation of the required minimal SNR value by a given BER. Inverse problem — the BER calculation by known CC noise statistics and parameters of each code cascade. As the analytical solution for the direct problem is difficult to obtain, the inverse problem is solved first using the formulas for consecutive BER computation for each of the codecs. Then, having the BER monotonous dependency from the SNR, the solution of the direct problem is found by the binary search method. The paper provides calculated SNR for a number of code parameters, recommended by the standard. The carried calculations demonstrate higher power efficiency of the suggested IC model for DITS comparing to the typical DVB-T2-based DVB systems.

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Keywords Coding; decoding; mathematical modeling; code signal feature; DVB-T2; power efficiency.
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