Nonassociative division algebras used in fast-decodable space-time code constructions
Speaker: Dr Susanne Pumpluen (University of Nottingham, England)
Time: 2.00 PM
Date: Tuesday 27th August 2013
Location: Casl Seminar Room Block 8 (Belfield Office Park)
Abstract:
Space-time block codes are used for reliable high rate transmission over wireless digital channels with multiple antennas at both the transmitter and receiver ends. In particular, the case of 4 transmit and 2 receive antennas has potential applications to digital video broadcasting used for example for portable TV devices, or for transmitting data to mobile phones.
We present nonassociative unital algebras obtained from doubling a cyclic central simple algebra whose left multiplication is used in the, so far ad-hoc looking, construction of fast-decodable iterated space-time block codes by Markin and Oggier. We give new conditions when these iterated algebras are division which in turn can be used to
construct fully diverse iterated codes. We then introduce nonassociative algebras which can be viewed as a nonassociative generalization of cyclic algebras. These are of
interest in their own right. Moreover, their left multiplication can be used to to build fully diverse rate-2 space-time block codes for a multiple input-double output system which are ML-decodable, imitating an idea by Srinath and Rajan.
Social Media Links