Threshold decoding of hospitals self-original conventional codes
The efficiency of threshold decoding of non-binary self-orthogonal convolutional codes in the communication channel with additive white Gaussian noise with the correction of t (t ≥ 1) symbolic errors is considered. The characters or elements of the code sequence (CS) used by the self-triggered convo...
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| Format: | Article |
| Language: | Russian |
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Educational institution «Belarusian State University of Informatics and Radioelectronics»
2019-06-01
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| Series: | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
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| Online Access: | https://doklady.bsuir.by/jour/article/view/1139 |
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| author | E. G. Makeichik A. I. Korolev V. K. Kanapelka |
| author_facet | E. G. Makeichik A. I. Korolev V. K. Kanapelka |
| author_sort | E. G. Makeichik |
| collection | DOAJ |
| description | The efficiency of threshold decoding of non-binary self-orthogonal convolutional codes in the communication channel with additive white Gaussian noise with the correction of t (t ≥ 1) symbolic errors is considered. The characters or elements of the code sequence (CS) used by the self-triggered convolutional code with the code transmission rate equaled R = k0/n0 = 1/2 are the elements of the final field GF(ai), i ≥ 2. The number of erroneous code symbols and their positions in the received CS on the length of the code constraint equaled na = (m + 1)∙n0 binary symbols is determined by the decoder based on the structure of the generated syndrome sequence (SS) S(x) = {S0, S1, …, SN}, depending on the structure of errors in the communication channel and the structure of the generating polynomials: m is maximum degree of the generating polynomials. It has been established that while preserving the merits of the threshold decoding algorithm, an increase in i (i ≥ 2) times the multiplicity of corrected errors is ensured by binary self-orthogonal codes with an equal transfer rate of codes. |
| format | Article |
| id | doaj-art-0998cf67fdad4a2e849c8513200eadca |
| institution | Kabale University |
| issn | 1729-7648 |
| language | Russian |
| publishDate | 2019-06-01 |
| publisher | Educational institution «Belarusian State University of Informatics and Radioelectronics» |
| record_format | Article |
| series | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
| spelling | doaj-art-0998cf67fdad4a2e849c8513200eadca2025-08-20T04:00:41ZrusEducational institution «Belarusian State University of Informatics and Radioelectronics»Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki1729-76482019-06-01081011071138Threshold decoding of hospitals self-original conventional codesE. G. Makeichik0A. I. Korolev1V. K. Kanapelka2Belarusian state university of informatics and radioelectronicsBelarusian state university of informatics and radioelectronicsBelarusian state university of informatics and radioelectronicsThe efficiency of threshold decoding of non-binary self-orthogonal convolutional codes in the communication channel with additive white Gaussian noise with the correction of t (t ≥ 1) symbolic errors is considered. The characters or elements of the code sequence (CS) used by the self-triggered convolutional code with the code transmission rate equaled R = k0/n0 = 1/2 are the elements of the final field GF(ai), i ≥ 2. The number of erroneous code symbols and their positions in the received CS on the length of the code constraint equaled na = (m + 1)∙n0 binary symbols is determined by the decoder based on the structure of the generated syndrome sequence (SS) S(x) = {S0, S1, …, SN}, depending on the structure of errors in the communication channel and the structure of the generating polynomials: m is maximum degree of the generating polynomials. It has been established that while preserving the merits of the threshold decoding algorithm, an increase in i (i ≥ 2) times the multiplicity of corrected errors is ensured by binary self-orthogonal codes with an equal transfer rate of codes.https://doklady.bsuir.by/jour/article/view/1139self-orthogonal convolutional codecode sequencescode speedthreshold decodinggenerator polynomial |
| spellingShingle | E. G. Makeichik A. I. Korolev V. K. Kanapelka Threshold decoding of hospitals self-original conventional codes Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki self-orthogonal convolutional code code sequences code speed threshold decoding generator polynomial |
| title | Threshold decoding of hospitals self-original conventional codes |
| title_full | Threshold decoding of hospitals self-original conventional codes |
| title_fullStr | Threshold decoding of hospitals self-original conventional codes |
| title_full_unstemmed | Threshold decoding of hospitals self-original conventional codes |
| title_short | Threshold decoding of hospitals self-original conventional codes |
| title_sort | threshold decoding of hospitals self original conventional codes |
| topic | self-orthogonal convolutional code code sequences code speed threshold decoding generator polynomial |
| url | https://doklady.bsuir.by/jour/article/view/1139 |
| work_keys_str_mv | AT egmakeichik thresholddecodingofhospitalsselforiginalconventionalcodes AT aikorolev thresholddecodingofhospitalsselforiginalconventionalcodes AT vkkanapelka thresholddecodingofhospitalsselforiginalconventionalcodes |