New sum code for effective detection of double errors in data bits

Ефанов, Д.В.; Sapozhnikov, Vladimir; Дмитриев, В. В.

doi:10.1109/ewdts.2015.7493123

2015 IEEE East-West Design &Amp; Test Symposium (EWDTS) 2015

DOI: 10.1109/ewdts.2015.7493123

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New sum code for effective detection of double errors in data bits

Д.В. Ефанов

Vladimir Sapozhnikov

В. В. Дмитриев

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2018

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Weighted Codes with Permutations – a New Class of Codes with Summation for Technical Diagnostics of Discrete Systems

Sapozhnikov¹,

Ефанов²

2018

Èlek. model.

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Âçâåøåííûå êîäû ñ ïåðåñòàíîâêàìèíîâûé êëàññ êîäîâ ñ ñóììèðîâàíèåì äëÿ òåõíè÷åñêîé äèàãíîñòèêè äèñêðåòíûõ ñèñòåì Îïèñàí ñïîñîá ïîñòðîåíèÿ êîäà ñ ñóììèðîâàíèåì, ýôôåêòèâíî îáíàðóaeèâàþùåãî îøèáêè â îáëàñòè ìàëîé êðàòíîñòè. Ñïîñîá îñíîâàí íà âçâåøèâàíèè ïåðåõîäîâ ìåaeäó ðàçðÿäàìè, çàíèìàþùèìè ñîñåäíèå ïîçèöèè â èíôîðìàöèîííûõ âåêòîðàõ, âåñîâûìè êîýôôèöèåíòàìè èç íàòóðàëüíîãî ðÿäà ÷èñåë, ïîñëåäóþùåì âû÷èñëåíèè ìîäèôèöèðîâàííîãî âåñà èíôîðìàöèîííîãî âåêòîðà, à òàêaeå íà ïðèìåíåíèè ñåðèè ñïåöèàëüíûõ ïåðåñòàíîâîê èòîãîâûõ âåñîâ ìåaeäó èíôîðìàöèîííûìè âåêòîðàìè. Êîíòðîëüíûå ôóíêöèè ïîëó÷àåìîãî «ïåðåñòàíîâî÷íîãî» êîäà ÿâëÿþòñÿ ëèíåéíûìè è îïèñûâàþòñÿ òîëüêî ñ èñïîëüçîâàíèåì îïåðàöèè ñëîaeåíèÿ ïî ìîäóëþ äâà. Ïðîàíàëèçèðîâàíû ñâîéñòâà îáíàðóaeåíèÿ îøèáîê ðàçëè÷íûõ âèäîâ è êðàòíîñòåé íîâûìè êîäàìè, à òàêaeå ïðîâåäåíî ñðàâíåíèå ñ èçâåñòíûìè êîäàìè, îáíàðóaeèâàþùèìè äâóêðàòíûå îøèáêè. Óñòàíîâëåíî, ÷òî íîâûé êîä îáíàðóaeèâàåò ëþáûå äâóêðàòíûå îøèáêè â èíôîðìàöèîííûõ âåêòîðàõ ïðè äëèíàõ èíôîðìàöèîííûõ âåêòîðîâ m < 10. Ïîêàçàíî, ÷òî ïåðåñòàíîâî÷íûé êîä èìååò ïðåèìóùåñòâî ïåðåä ëþáûìè èçâåñòíûìè êîäàìè, îáíàðóaeèâàþùèìè äâóêðàòíûå îøèáêè, ïðè äëèíàõ èíôîðìàöèîííûõ âåêòîðîâ m = 8 è m = 9. Ýêñïåðèìåíòû ñ êîíòðîëüíûìè êîìáèíàöèîííûìè ñõåìàìè ïîçâîëèëè ïîäòâåðäèòü òåîðåòè÷åñêèå ðåçóëüòàòû, à òàêaeå îöåíèòü ýôôåêòèâíîñòü ïðèìåíåíèÿ íîâîãî êîäà â ñèñòåìàõ ôóíêöèîíàëüíîãî êîíòðîëÿ ïî ïîêàçàòåëÿì ñòðóêòóðíîé èçáûòî÷íîñòè. Ê ë þ ÷ å â û å ñ ë î â à: òåõíè÷åñêàÿ äèàãíîñòèêà äèñêðåòíûõ ñèñòåì, êîä ñ ñóììèðîâàíèåì, êîä Áåðãåðà, êîä Õýììèíãà, ìîäèôèöèðîâàííûé âçâåøåííûé êîä, îáíàðóaeåíèå äâóêðàòíûõ îøèáîê, ñòðóêòóðíàÿ èçáûòî÷íîñòü.

show abstract

Weighted Codes with Permutations – a New Class of Codes with Summation for Technical Diagnostics of Discrete Systems

Sapozhnikov¹,

Ефанов²

2018

Èlek. model.

View full text Add to dashboard Cite

show abstract

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New sum code for effective detection of double errors in data bits

Cited by 1 publication

References 12 publications

Weighted Codes with Permutations – a New Class of Codes with Summation for Technical Diagnostics of Discrete Systems

Weighted Codes with Permutations – a New Class of Codes with Summation for Technical Diagnostics of Discrete Systems

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