Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
Generalized upper bounds on the minimum distance of PSK block codes
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
2015 (English)In: IMA Journal of Mathematical Control and Information, ISSN 0265-0754, E-ISSN 1471-6887, Vol. 32, no 2, p. 305-327Article, review/survey (Refereed) Published
Abstract [en]

This paper generalizes previous optimal upper bounds on the minimum Euclidean distance for phase shift keying (PSK) block codes, that are explicit in three parameters: alphabet size, block length and code size. The bounds are primarily generalized from codes over symmetric PSK to codes over asymmetric PSK and also to general alphabet size. Furthermore, block codes are optimized in the presence of other types of noise than Gaussian, which induces also non-Euclidean distance measures. In some instances, codes over asymmetric PSK prove to give higher Euclidean distance than any code over symmetric PSK with the same parameters. We also provide certain classes of codes that are optimal among codes over symmetric PSK.

Abstract [sv]

Detta papper generaliserar tidigare optimala övre gränser för minimala Euklidiska avståndet för fasskift block koder, s.k. phase shift keying (PSK). De är explicita i tre parametrar: alfabetstorlek, blocklängd och kodstorlek. Gränserna är framförallt generaliserade från koder över symmetrisk PSK till koder över asymmetrisk PSK men även till generell alfabetsstorlek. Block koder är även generaliserade i närvaro av annat brus än gaussiskt, vilket leder till icke-Euklidiska avståndsmått. I vissa fall ger asymmetrisk PSK högre Euklidiskt avstånd än symmetriskt med samma parametrar. Vi visar också att vissa kodklasser är optimala i gruppen av symmetrisk PSK.

Place, publisher, year, edition, pages
Oxford Journals , 2015. Vol. 32, no 2, p. 305-327
Keywords [en]
Assymetric PSK, symmetric PSK, Elias' bound.
National Category
Mathematical Analysis Telecommunications
Identifiers
URN: urn:nbn:se:bth-6608DOI: 10.1093/imamci/dnt047ISI: 000358779200006Local ID: oai:bth.se:forskinfo7520A9E3949B10C1C1257D630059B28AOAI: oai:DiVA.org:bth-6608DiVA, id: diva2:834126
Note

Open access article

Available from: 2014-10-03 Created: 2014-09-30 Last updated: 2017-12-04Bibliographically approved

Open Access in DiVA

fulltext(292 kB)856 downloads
File information
File name FULLTEXT01.pdfFile size 292 kBChecksum SHA-512
4852a6fd4358a57f716c2271ad2462ccb095cf17eb41c0a4603fe9d6491538b5de6e030be52efb36b845ca86f35b3a5c707d84c85150dfd8d059fcbc776514ef
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records

Laksman, EfraimLennerstad, Håkan

Search in DiVA

By author/editor
Laksman, EfraimLennerstad, Håkan
By organisation
Department of Mathematics and Natural Sciences
In the same journal
IMA Journal of Mathematical Control and Information
Mathematical AnalysisTelecommunications

Search outside of DiVA

GoogleGoogle Scholar
Total: 856 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 579 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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