Abstract
The choice of basis for linear matrix modulation (linear space-time code with rotated and linearly combined constellation) is considered. Unitarily invariant polynomials of square matrices are discussed, the full spectrum of invariants interpolating between the well-known trace and determinant. These give the full spectrum of space-time code design criteria. The diagonal dominance (expansion around the trace) of these invariants is considered. Using this, it is shown that minimizing the self-interference, or equivalently, maximizing the second order expansion coefficient of the mutual information around SNR=0, is required when maximizing the mutual information and/or optimizing performance at any SNR. As an example, symbol rate 3 schemes for 4 transmit antennas are considered.
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Tirkkonen, O., Kokkonen, M. (2005). Interference, Information and Performance in Linear Matrix Modulation. In: Ganesh, R., Kota, S.L., Pahlavan, K., Agustí, R. (eds) Emerging Location Aware Broadband Wireless Ad Hoc Networks. Springer, Boston, MA. https://doi.org/10.1007/0-387-23072-6_19
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DOI: https://doi.org/10.1007/0-387-23072-6_19
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