Title :
Space-time Reed-Muller codes for noncoherent MIMO transmission
Author :
Ashikhmin, Alexei ; Calderbank, A. Robert
Author_Institution :
Dept. of Math. of Commun. Res., Lucent Technol. Bell Labs., Princeton, NJ
Abstract :
We present a family of space-time codes for the noncoherent MIMO channel. The codes are constructed via functions that can be considered as a generalization of boolean functions to commuting projection operators which arise in the theory of quantum stabilizer codes. These space-time codes are strongly related to standard binary Reed-Muller codes. In particular, they can be decoded by adapting a decoding algorithm for Reed-Muller codes. We show that the first subclass of codes from this family, which we view as the first order space-time Reed-Muller codes, allow transmission with rates close to the MIMO noncoherent channel capacity in the low signal to noise ratio (SNR) regime
Keywords :
Boolean functions; Reed-Muller codes; binary codes; channel capacity; decoding; radio networks; space-time codes; boolean functions; channel capacity; noncoherent MIMO transmission; quantum stabilizer codes; signal to noise ratio; space-time Reed-Muller codes; Channel capacity; Code standards; Decoding; MIMO; Mathematics; Parity check codes; Signal to noise ratio; Space time codes; Transmitters; Transmitting antennas;
Conference_Titel :
Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-9151-9
DOI :
10.1109/ISIT.2005.1523686
