Context. Factorial coding with data recovery by permutation provides complex information protection from unauthorized reading and<br />errors in communication channel and has the property of self-synchronization. At the same time, such coding does not allow to detect all low-weight errors that leads to a relatively small increase of reliability. The purpose of this work is to develop and study the method of factorial coding with a given number of inversions aimed at increasing<br />the reliability of information transmission, by introducing additional redundancy by choosing a class of permutations that satisfy the given<br />criterion.<br />Method. The main idea of the proposed method is to introduce artificial redundancy by reducing the cardinality of used permutations.<br />Such an approach makes it possible to select from a whole set of permutations a class that possesses the necessary, pre-assigned properties. It was suggested to use the correspondence of the number of permutation inversions to a given class of residues as a sign of belonging to the permutation class in use. A theoretical evaluation of code parameters was performed.<br />Results. Signal-code constructions for the factorial code with a given number of inversions under the order of permutations M = 8 are<br />constructed. For each of the possible classes, the cardinality, code rate, estimates of the probability of undetected error and the relative<br />transmission rate for systems with decision feedback and independent bit errors were investigated. It is shown that the code parameters are<br />not invariant with respect to the selected class of residues for a given modulus. The structural schemes of encoding and decoding devices are<br />developed.<br />Conclusions. The method of factorial coding with data recovery by permutation has been developed. The use of permutations with<br />a number of inversions that belongs to the selected class of residues allowed increasing the reliability of transmission in exchange for the loss<br />of code rate.
Науковий журнал «Радіоелектроніка, інформатика, управління»
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Faure, E. V.; Cherkasy State Technological University, Cherkasy,
Ukraine Shcherba, A. I.; Cherkasy State Technological University, Cherkasy, Ukraine Kharin, A. A.; Cherkasy State Technological University, Cherkasy, Ukraine |
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Context. Factorial coding with data recovery by permutation provides complex information protection from unauthorized reading and<br />errors in communication channel and has the property of self-synchronization. At the same time, such coding does not allow to detect all low-weight errors that leads to a relatively small increase of reliability. The purpose of this work is to develop and study the method of factorial coding with a given number of inversions aimed at increasing<br />the reliability of information transmission, by introducing additional redundancy by choosing a class of permutations that satisfy the given<br />criterion.<br />Method. The main idea of the proposed method is to introduce artificial redundancy by reducing the cardinality of used permutations.<br />Such an approach makes it possible to select from a whole set of permutations a class that possesses the necessary, pre-assigned properties. It was suggested to use the correspondence of the number of permutation inversions to a given class of residues as a sign of belonging to the permutation class in use. A theoretical evaluation of code parameters was performed.<br />Results. Signal-code constructions for the factorial code with a given number of inversions under the order of permutations M = 8 are<br />constructed. For each of the possible classes, the cardinality, code rate, estimates of the probability of undetected error and the relative<br />transmission rate for systems with decision feedback and independent bit errors were investigated. It is shown that the code parameters are<br />not invariant with respect to the selected class of residues for a given modulus. The structural schemes of encoding and decoding devices are<br />developed.<br />Conclusions. The method of factorial coding with data recovery by permutation has been developed. The use of permutations with<br />a number of inversions that belongs to the selected class of residues allowed increasing the reliability of transmission in exchange for the loss<br />of code rate. |
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Zaporizhzhya National Technical University 2018-10-04 12:10:39 |
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application/pdf http://ric.zntu.edu.ua/article/view/143549 |
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Radio Electronics, Computer Science, Control; No 2 (2018): Radio Electronics, Computer Science, Control |
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Copyright (c) 2018 E. V. Faure, A. I. Shcherba, A. A. Kharin |
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