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 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.