Algebraic number theory and code design for Rayleigh fading channels
Communications and Information Theory
Applications of representation theory to wireless communications
Designs, Codes and Cryptography
High Data Rate Alamouti Code From Field Extension
Wireless Personal Communications: An International Journal
Distributed Algebraic Space-Time Codes for Ultra-Wideband Communications
Wireless Personal Communications: An International Journal
A diversity guarantee and SNR performance for unitary limited feedback MIMO systems
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Cyclic Division Algebras: A Tool for Space-Time Coding
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Color Image Segmentation in a Quaternion Framework
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Quaternion-Based Color Image Smoothing Using a Spatially Varying Kernel
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Very fast detection for rate-2 quasi-orthogonal STBCs
IEEE Transactions on Wireless Communications
IEEE Transactions on Wireless Communications
Code rate-diversity-multiplexing tradeoff
IEEE Transactions on Information Theory
Asymptotic-information-lossless designs and the diversity-multiplexing tradeoff
IEEE Transactions on Information Theory
On full diversity space-time block codes with partial interference cancellation group decoding
IEEE Transactions on Information Theory
Recursive space-time trellis codes using differential encoding
IEEE Transactions on Information Theory
Space-time codes from structured lattices
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Golden space-time block-coded modulation
IEEE Transactions on Information Theory
Space-time codes achieving the DMD tradeoff of the MIMO-ARQ channel
IEEE Transactions on Information Theory
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On the densest MIMO lattices from cyclic division algebras
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IEEE Transactions on Information Theory
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AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
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AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
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AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
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GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
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ICC'09 Proceedings of the 2009 IEEE international conference on Communications
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IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
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Wireless Personal Communications: An International Journal
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IEEE Transactions on Wireless Communications
Multigroup ML decodable collocated and distributed space-time block codes
IEEE Transactions on Information Theory
The coding gain of real matrix lattices: bounds and existence results
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Signal space diversity techniques with fast decoding based on MDS codes
IEEE Transactions on Communications
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MILCOM'06 Proceedings of the 2006 IEEE conference on Military communications
A Quaternion Framework for Color Image Smoothing and Segmentation
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Decoding the golden code: a VLSI design
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Wireless Personal Communications: An International Journal
Hi-index | 755.92 |
We present some general techniques for constructing full-rank, minimal-delay, rate at least one space-time block codes (STBCs) over a variety of signal sets for arbitrary number of transmit antennas using commutative division algebras (field extensions) as well as using noncommutative division algebras of the rational field Q embedded in matrix rings. The first half of the paper deals with constructions using field extensions of Q. Working with cyclotomic field extensions, we construct several families of STBCs over a wide range of signal sets that are of full rank, minimal delay, and rate at least one appropriate for any number of transmit antennas. We study the coding gain and capacity of these codes. Using transcendental extensions we construct arbitrary rate codes that are full rank for arbitrary number of antennas. We also present a method of constructing STBCs using noncyclotomic field extensions. In the later half of the paper, we discuss two ways of embedding noncommutative division algebras into matrices: left regular representation, and representation over maximal cyclic subfields. The 4×4 real orthogonal design is obtained by the left regular representation of quaternions. Alamouti's (1998) code is just a special case of the construction using representation over maximal cyclic subfields and we observe certain algebraic uniqueness characteristics of it. Also, we discuss a general principle for constructing cyclic division algebras using the nth root of a transcendental element and study the capacity of the STBCs obtained from this construction. Another family of cyclic division algebras discovered by Brauer (1933) is discussed and several examples of STBCs derived from each of these constructions are presented.