Integer-forcing linear receivers: A design criterion for full-diversity STBCs

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In multiple-input multiple-output (MIMO) fading channels, the design criterion for full-diversity space-time block codes (STBCs) is primarily determined by the decoding method at the receiver. Although constructions of STBCs have predominantly matched the maximum-likelihood (ML) decoder, design criteria and constructions of full- diversity STBCs have also been reported for low- complexity linear receivers. A new receiver architecture called Integer-Forcing (IF) linear receiver has been proposed to MIMO channels by Zhan et al. which showed promising results for the high-rate V-BLAST encoding scheme. In this work we address the design of full-diversity STBCs for IF linear receivers. We derive an upper bound on the probability of decoding error, and show that STBCs that satisfy the non-vanishing singular value (NVS) property provide full-diversity for the IF receiver. We also present simulation results to demonstrate that linear designs with NVS property provide full diversity for IF receiver. As a special case of our analysis on STBCs, we present an upper bound on the error probability for the V- BLAST architecture presented by Zhan et al., and demonstrate that the IF linear receivers provide full receive diversity. Our results supplement the existing outage probability based results for the IF receiver.

Original languageEnglish
Title of host publication2017 IEEE Wireless Communications and Networking Conference (WCNC) Proceedings
Subtitle of host publication19–22 March 2017, San Francisco, CA, USA
EditorsShuguang Cui, Elza Erkip, Angel Lozano
Place of PublicationPiscataway, NJ
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781509041831
ISBN (Print)9781509041848
Publication statusPublished - 10 May 2017
EventIEEE Wireless Communications and Networking Conference 2017 - Hyatt Regency, San Francisco, United States of America
Duration: 19 Mar 201722 Mar 2017

Publication series

NameIEEE Wireless Communications and Networking Conference. Proceedings
PublisherI E E E Communications Society
ISSN (Print)1525-3511
ISSN (Electronic)1558-2612


SeminarIEEE Wireless Communications and Networking Conference 2017
Abbreviated titleWCNC 2017
CountryUnited States of America
CitySan Francisco
Internet address


  • Integer-forcing
  • Linear receivers
  • MIMO
  • Non-vanishing determinant property
  • STBCs

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