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Space-time reed-muller codes for noncoherent MIMO transmission

Publication ,  Journal Article
Ashikhmin, A; Calderbank, AR
Published in: IEEE International Symposium on Information Theory - Proceedings
December 1, 2005

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.

Duke Scholars

Published In

IEEE International Symposium on Information Theory - Proceedings

DOI

Publication Date

December 1, 2005

Volume

2005

Start / End Page

1952 / 1956
 

Citation

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Ashikhmin, A., & Calderbank, A. R. (2005). Space-time reed-muller codes for noncoherent MIMO transmission. IEEE International Symposium on Information Theory - Proceedings, 2005, 1952–1956. https://doi.org/10.1109/ISIT.2005.1523686
Ashikhmin, A., and A. R. Calderbank. “Space-time reed-muller codes for noncoherent MIMO transmission.” IEEE International Symposium on Information Theory - Proceedings 2005 (December 1, 2005): 1952–56. https://doi.org/10.1109/ISIT.2005.1523686.
Ashikhmin A, Calderbank AR. Space-time reed-muller codes for noncoherent MIMO transmission. IEEE International Symposium on Information Theory - Proceedings. 2005 Dec 1;2005:1952–6.
Ashikhmin, A., and A. R. Calderbank. “Space-time reed-muller codes for noncoherent MIMO transmission.” IEEE International Symposium on Information Theory - Proceedings, vol. 2005, Dec. 2005, pp. 1952–56. Scopus, doi:10.1109/ISIT.2005.1523686.
Ashikhmin A, Calderbank AR. Space-time reed-muller codes for noncoherent MIMO transmission. IEEE International Symposium on Information Theory - Proceedings. 2005 Dec 1;2005:1952–1956.

Published In

IEEE International Symposium on Information Theory - Proceedings

DOI

Publication Date

December 1, 2005

Volume

2005

Start / End Page

1952 / 1956