Sphere-packings, lattices, and groups
Sphere-packings, lattices, and groups
Multi-Antenna Transceiver Techniques for 3g and Beyond
Multi-Antenna Transceiver Techniques for 3g and Beyond
On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Fundamentals of wireless communication
Fundamentals of wireless communication
Algebraic number theory and code design for Rayleigh fading channels
Communications and Information Theory
On the sphere-decoding algorithm I. Expected complexity
IEEE Transactions on Signal Processing - Part I
An Algebraic Coding Scheme for Wireless Relay Networks With Multiple-Antenna Nodes
IEEE Transactions on Signal Processing - Part I
Distributed Space-Time Coding in Wireless Relay Networks
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
Fading channels: information-theoretic and communications aspects
IEEE Transactions on Information Theory
Space-time block codes from orthogonal designs
IEEE Transactions on Information Theory
A universal lattice code decoder for fading channels
IEEE Transactions on Information Theory
On the theory of space-time codes for PSK modulation
IEEE Transactions on Information Theory
Unitary space-time modulation for multiple-antenna communications in Rayleigh flat fading
IEEE Transactions on Information Theory
Diagonal algebraic space-time block codes
IEEE Transactions on Information Theory
A construction of a space-time code based on number theory
IEEE Transactions on Information Theory
High-rate codes that are linear in space and time
IEEE Transactions on Information Theory
Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Distributed space-time-coded protocols for exploiting cooperative diversity in wireless networks
IEEE Transactions on Information Theory
Orthogonal designs with maximal rates
IEEE Transactions on Information Theory
Full-diversity, high-rate space-time block codes from division algebras
IEEE Transactions on Information Theory
New algebraic constructions of rotated Zn-lattice constellations for the Rayleigh fading channel
IEEE Transactions on Information Theory
Lattice coding and decoding achieve the optimal diversity-multiplexing tradeoff of MIMO channels
IEEE Transactions on Information Theory
The golden code: a 2×2 full-rate space-time code with nonvanishing determinants
IEEE Transactions on Information Theory
A unified construction of space-time codes with optimal rate-diversity tradeoff
IEEE Transactions on Information Theory
STBC-schemes with nonvanishing determinant for certain number of transmit antennas
IEEE Transactions on Information Theory
On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels
IEEE Transactions on Information Theory
Approximately universal codes over slow-fading channels
IEEE Transactions on Information Theory
Explicit Space–Time Codes Achieving the Diversity–Multiplexing Gain Tradeoff
IEEE Transactions on Information Theory
Perfect Space–Time Block Codes
IEEE Transactions on Information Theory
Information-Lossless Space–Time Block Codes From Crossed-Product Algebras
IEEE Transactions on Information Theory
Optimal Space–Time Codes for the MIMO Amplify-and-Forward Cooperative Channel
IEEE Transactions on Information Theory
Golden Space–Time Trellis Coded Modulation
IEEE Transactions on Information Theory
Some Designs of Full Rate Space–Time Codes With Nonvanishing Determinant
IEEE Transactions on Information Theory
Distributed QAM-Based Space-Time Block Codes for Efficient Cooperative Multiple-Access Communication
IEEE Transactions on Information Theory
Maximal Orders in the Design of Dense Space-Time Lattice Codes
IEEE Transactions on Information Theory
A simple transmit diversity technique for wireless communications
IEEE Journal on Selected Areas in Communications
Asymptotically optimal cooperative wireless networks with reduced signaling complexity
IEEE Journal on Selected Areas in Communications
Low-complexity near-ML decoding of large non-orthogonal STBCs using reactive tabu search
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
Belief propagation based decoding of large non-orthogonal STBCs
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
An algebraic tool for obtaining conditional non-vanishing determinants
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Transmit diversity vs. spatial multiplexing in modern MIMO systems
IEEE Transactions on Wireless Communications
Full-diversity space-time error correcting codes with low-complexity receivers
EURASIP Journal on Wireless Communications and Networking
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Multiple antennas at both the transmitter and receiver ends of a wireless digital transmission channel may increase both data rate and reliability. Reliable high rate transmission over such channels can only be achieved through Space-Time coding. Rank and determinant code design criteria have been proposed to enhance diversity and coding gain. The special case of full-diversity criterion requires that the difference of any two distinct codewords has full rank. Extensive work has been done on Space–Time coding, aiming at finding fully diverse codes with high rate. Division algebras have been proposed as a new tool for constructing Space–Time codes, since they are non-commutative algebras that naturally yield linear fully diverse codes. Their algebraic properties can thus be further exploited to improve the design of good codes. The aim of this work is to provide a tutorial introduction to the algebraic tools involved in the design of codes based on cyclic division algebras. The different design criteria involved will be illustrated, including the constellation shaping, the information lossless property, the non-vanishing determinant property, and the diversity multiplexing trade-off. The final target is to give the complete mathematical background underlying the construction of the Golden code and the other Perfect Space–Time block codes.