Cyclic Algebras for Noncoherent Differential Space–Time Coding
- Creators
- Oggier, Frédérique
Abstract
We investigate cyclic algebras for coding over the differential noncoherent channel. Cyclic algebras are an algebraic object that became popular for coherent space–time coding, since it naturally yields linear families of matrices with full diversity. Coding for the differential noncoherent channel has a similar flavor in the sense that it asks for matrices that achieve full diversity, except that these matrices furthermore have to be unitary. In this work, we give a systematic way to find infinitely many unitary matrices inside cyclic algebras, which holds for all dimensions. We show how cyclic algebras generalize previous families of unitary matrices obtained using the representation of fixed-point-free groups. As an application of our technique, we present families of codes for three and four antennas that achieve high coding gain.
Additional Information
© Copyright 2007 IEEE. Reprinted with permission. Manuscript received June 3, 2006; revised March 22, 2007. [Posted online: 2007-08-27] This work was supported by the Swiss National Science Foundation under Grant PBEL2-110209, and was started while the author was still with Laboratoire de Mathématiques Algorithmiques, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland. The author would like to thank Dr. E. Lequeu for his collaboration and useful discussions at the beginning of this work.Attached Files
Published - OGGieeetit07b.pdf
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Additional details
- Eprint ID
- 8920
- Resolver ID
- CaltechAUTHORS:OGGieeetit07b
- PBEL2-110209
- Swiss National Science Foundation (SNSF)
- Created
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2007-10-01Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field