Representation theory for high-rate multiple-antenna code design

By Amin Shokrollahi, Babak Hassibi, Bertrand M. Hochwald, Wim Sweldens. IEEE Transactions on Information Theory, 2001

376 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/934132ace4e241a21914f1f8e2d1994b13a67a90

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In Computer Networks and Communications

In Electrical and Electronic Engineering

Citations in the corpus

Great expectations: the value of spatial diversity in wireless networks (2004, background): “An extensive characterization and classification of group differential space–time codes has been given in [229].”
An Introduction to Frames (2008, background): “The redundant counterpart of a basis is called a frame.1 It is generally acknowledged2 that frames were born in 1952 in the work of Duffin and Schaeffer [78].”
Density, overcompleteness, and localization of frames (2006, background): “Frames were rst introduced by Dun and Schaeer [DS52] in the context of nonharmonic Fourier series, and today frames play important roles in many applications in mathematics, science, and engineering, including time-frequency analysis [Gr o01], internet coding [GKK01], speech and music processing [W”
Equal-Norm Tight Frames with Erasures (2003, methodology): “Another recent important application of equal-norm Parseval tight frames is in multiple-antenna code design [ 21 ].”
Orthogonal designs with maximal rates (2003, background): “817426 codes from orthogonal designs [42], and unitary space–time codes [20], [40], among many others.”
Duality Principles in Frame Theory (2004, methodology): “For example, frames are now used to mitigate the effect of losses in packet-based communication systems and hence to improve the robustness of data transmission [10, 4], and to design high-rate constellations with full diversity in multiple-antenna code design [12].”
Frames of subspaces (2003, background): “For example, besides traditional applications as signal processing, image processing, data compression, and sampling theory, frames are now used to mitigate the effect of losses in packet-based communication systems and hence to improve the robustness of data transmission [7, 15], and to design high”
Secure space-time communication (2003, background): “For any strictly positive prior probabilities P (H0) and P (H1) = 1 P (H0) of these hypotheses, the minimum attainable probability of decision error Pe of the eavesdropper has the following large sample limiting behavior [6]: lim inf L!”
Full-diversity, high-rate space-time block codes from division algebras (2003, methodology): “of STBCs using groups and representation theory of groups have been reported in [13]–[16] and using unitary matrices STBCs have been studied in [17]–[20].”