Duals of linear binary space-time codes

S Hirst, A Burr

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

For the quasi-static Rayleigh fading multiple-input/multiple-output (MIMO) channel, we consider BPSK space-time (ST) codes with rates greater than or equal to 1 and diversity less than or equal to L derived from linear binary codes where L is the number of transmit antennas. For L = 2, 3 and 4, we derive conditions on both the generator matrix G and the parity-check matrix H for a code to achieve diversities 2, ..., L. We then introduce the concept of duals of linear binary-based ST codes, since a particular relationship between the conditions on G and on H shows that rate 1, diversity L and rate L - 1, diversity 2 codes are duals. Thus, a matrix G (or a matrix H) of a rate 1. diversity L BPSK ST code may also be used as the matrix H (or matrix G) of a rate L - 1, diversity 2 code. Example codes for 3 and 4 antennas are given along with decoding results from simulations.

Original languageEnglish
Title of host publicationPIMRC 2003: 14TH IEEE 2003 INTERNATIONAL SYMPOSIUM ON PERSONAL, INDOOR AND MOBILE RADIO COMMUNICATIONS PROCEEDINGS, VOLS 1-3 2003
EditorsK Gong, ZH Niu
Place of PublicationBEIJING
PublisherPUBLISHING HOUSE ELECTRONICS INDUSTRY
Pages1978-1982
Number of pages5
ISBN (Print)7-5053-5066-8
Publication statusPublished - 2003
Event14th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications - BEIJING
Duration: 7 Sept 200310 Sept 2003

Conference

Conference14th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications
CityBEIJING
Period7/09/0310/09/03

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