Space-time reed-muller codes for noncoherent MIMO transmission
Journal articles
Ashikhmin, A; Calderbank, AR
Published in: IEEE International Symposium on Information Theory Proceedings
January 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.
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Published In
IEEE International Symposium on Information Theory Proceedings
DOI
EISSN
2157-8117
ISSN
2157-8095
Publication Date
January 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 (January 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 Jan 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, Jan. 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 Jan 1;2005:1952–1956.
Published In
IEEE International Symposium on Information Theory Proceedings
DOI
EISSN
2157-8117
ISSN
2157-8095
Publication Date
January 1, 2005
Volume
2005
Start / End Page
1952 / 1956