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Bounding the minimal Euclidean distance for any PSK block codes of alphabet size 8
Responsible organisation
2009 (English)Conference paper, (Refereed) PublishedAlternative title
Gränser för det minimala euklidiska avståndet för PSK blockkoder me alfabetstorlek 8 (Swedish)
Abstract [en]

We consider a bound for the minimal Euclidean distance of any PSK block code with eight symbols. The main result was established in [6] - here we prove that the bound is in fact stronger than was proven there. The bound is deduced by generalizing Elias' method of a critical sphere. It is not asympthotic, as previous Elias' sphere bounds, but valid for any specific word length and code size. Many known codes fulfil the bound with equality, proving the sharpness of the bound for these parameter values as well as the optimality of these codes.

Abstract [sv]

Vi visar att en tidigare gräns för det minimala euklidiska avståndet för en block kod är starkare. Gränsen uppfylls med likhet av många kända koder, vilket visar att både koderna och gränsen är optimala för dessa parametervärden.

Place, publisher, year, edition, pages
Taormina, Italy, 2009.
Keyword [en]
block code, Elias sphere, Euclidean distance, phase shift keying
National Category
Mathematics Telecommunications
Identifiers
URN: urn:nbn:se:bth-7814Local ID: oai:bth.se:forskinfo3C2E2E9A3B3EB8F9C125773D0037ED1FOAI: oai:DiVA.org:bth-7814DiVA: diva2:835476
Conference
Information Theory Workshop
Available from: 2012-09-18 Created: 2010-06-09 Last updated: 2015-06-30Bibliographically approved

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf