Space–time code: Difference between revisions

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*[[Space–time line code]]s (STLCs)<ref name="STLC">{{cite journal|author=Jingon Joung |title=Space&ndash;Time Line Code |journal=[[IEEE Access]] |pages=1023&ndash;1041 | volume=6 |date=November 2017 |doi=10.1109/ACCESS.2017.2777528|doi-access=free }}</ref> and STBCs are symmetric with respect to the transmit-and-receive processes, like a [[Maximal-ratio combining|maximum-ratio combining]] (MRC) and maximum-ratio transmission (MRT). The STLC scheme provides full [[diversity reception|diversity gain]] even when there is no full channel state information (CSI) at the receiver.
 
STC may be further subdivided according to whether the receiver knows the [[channel (communications)|channel]] impairments. In [[coherent space-time code|coherent STC]], the receiver knows the channel impairments through training or some other form of estimation. These codes have been studied more widely, and [[division algebrasalgebra]]s<ref name="divalg">{{cite journal|author1=B.A. Sethuraman |author2=B. Sundar Rajan |author3=V. Shashidhar |name-list-style=amp |title=Full-diversity, high-rate space-time block codes from division algebras|journal=IEEE Transactions on Information Theory|pages=2596&ndash;2616|volume=49|issue=10|date=October 2003|doi=10.1109/tit.2003.817831}}</ref> over number fields have now become the standard tool for constructing such codes.
 
In [[noncoherent STC]] the receiver does not know the channel impairments but knows the statistics of the channel.<ref name="hm">{{cite journal|author1=Marzetta, T.L. |author2=Hochwald, B.M. |name-list-style=amp |title=Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading|journal=IEEE Transactions on Information Theory|date=January 1999|volume=45|issue=1|pages=139–157|doi=10.1109/18.746779|citeseerx=10.1.1.134.4611 }}</ref> In [[differential space–time code]]s neither the channel nor the statistics of the channel are available.<ref name="jsac">{{cite journal|author=V. Tarokh and [[Hamid Jafarkhani|H. Jafarkhani]]|title=A Differential Detection Scheme for Transmit Diversity|journal=IEEE Journal on Selected Areas in Communications|date=July 2000|volume=18|issue=7|doi=10.1109/49.857917|pages=1169&ndash;1174|citeseerx=10.1.1.421.8007|s2cid=1507749 }}</ref>