Space-time constellation-rotating codes maximizing diversity and coding gains

Yan Xin, Zhengdao Wang, Georgios B. Giannakis

Research output: Contribution to conferencePaperpeer-review

38 Scopus citations


We apply algebraic number theoretic tools to design linear space-time constellation-rotating (ST-CR) block codes. With an arbitrary number of M transmit- and N receive-antennas, our ST-CR designs achieve 1 symbol/second rate and enjoy maximum diversity gains MN over quasi-static fading channels. When M is an Euler number φ(P) for P ≢ 0 (mod 4), or, when M = 2m for some positive integer m, the designed ST-CR precoders also maximize coding gains over QAM constellations. When M takes other integer values, we construct a method to design precoders with large coding gains that can be computed explicitly. Simulations corroborate our theoretical findings.

Original languageEnglish (US)
Number of pages5
StatePublished - 2001
EventIEEE Global Telecommunicatins Conference GLOBECOM'01 - San Antonio, TX, United States
Duration: Nov 25 2001Nov 29 2001


OtherIEEE Global Telecommunicatins Conference GLOBECOM'01
Country/TerritoryUnited States
CitySan Antonio, TX


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