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

fYear

2005

fDate

4-9 Sept. 2005

Firstpage

1952

Lastpage

1956

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on

Conference_Location

Adelaide, SA

Print_ISBN

0-7803-9151-9

Type

conf

DOI

10.1109/ISIT.2005.1523686

Filename

1523686