Title
Linear threaded algebraic space-time constellations
Abstract
Space-time (ST) constellations that are linear over the field of complex numbers are considered. Relevant design criteria for these constellations are summarized and some fundamental limits to their achievable performances are established. The fundamental tradeoff between rate and diversity is investigated under different constraints on the peak power, receiver complexity, and rate scaling with the signal-to-noise ratio (SNR). A new family of constellations that achieve optimal or near-optimal performance with respect to the different criteria is presented. The proposed constellations belong to the threaded algebraic ST (TAST) signaling framework, and achieve the optimal minimum squared Euclidean distance and the optimal delay. For systems with one receive antenna, these constellations also achieve the optimal peak-to-average power ratio for quadrature amplitude modulation (QAM) and phase-shift keying (PSK) input constellations, as well as optimal coding gains in certain scenarios. The framework is general for any number of transmit and receive antennas and allows for realizing the optimal tradeoff between rate and diversity under different constraints. Simulation results demonstrate the performance gains offered by the proposed designs in average power and peak power limited systems.
Year
DOI
Venue
2003
10.1109/TIT.2003.817423
IEEE Transactions on Information Theory
Keywords
Field
DocType
linear threaded algebraic space-time,average power,optimal tradeoff,optimal minimum,optimal delay,optimal coding gain,peak power limited system,different criterion,peak power,optimal peak-to-average power ratio,different constraint,phase shift keying,quadrature amplitude modulation,rate,snr,psk,qam,complex numbers,space time,rating scale,signal to noise ratio
Discrete mathematics,Topology,Complex number,Algebraic number,Quadrature amplitude modulation,Computer science,Control theory,Keying,Signal-to-noise ratio,QAM,Constellation,Phase-shift keying
Journal
Volume
Issue
ISSN
49
10
0018-9448
Citations 
PageRank 
References 
38
3.43
20
Authors
3
Name
Order
Citations
PageRank
M. O. Damen11755113.46
Hesham El Gamal23049220.37
Norman C. Beaulieu31463163.86