Trace-orthonormal full diversity cyclotomic linear dispersion codes

In this paper we propose a trace-orthonormal linear dispersion code that is an extension of the generalized complex orthogonal space-time block codes and present a method to systematically design such code family. We prove that our proposed codes can minimize the average bit error probability for th...

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Bibliographic Details
Main Authors: Zhang, J.-K., Liu, J., Wong, K.M.
Format: Conference Proceeding
Language:English
Subjects:
Applied sciences
Block codes
Computer science
control theory
systems
Design methodology
Detectors
Error probability
Exact sciences and technology
Information theory
Information, signal and communications theory
Mean square error methods
Modulation coding
Quadrature phase shift keying
Receiving antennas
Telecommunications and information theory
Transmitters
Vectors
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Description
Summary:In this paper we propose a trace-orthonormal linear dispersion code that is an extension of the generalized complex orthogonal space-time block codes and present a method to systematically design such code family. We prove that our proposed codes can minimize the average bit error probability for the QPSK modulation when the minimum mean square error (MMSE) detector is employed. Furthermore, we establish a unified framework to systematically and efficiently construct trace-orthonormal full diversity cyclotomic linear dispersion codes with any integer symbol transmission rate which is less than or equals to the number of transmitter antennas. This result generalizes the currently available linear space-time block code designs into a full diversity linear dispersion code design
DOI:10.1109/ISIT.2004.1365378