학술논문

Constellation Design for Trellis-Coded Unitary Space–Time Modulation Systems
Document Type
Periodical
Source
IEEE Transactions on Communications IEEE Trans. Commun. Communications, IEEE Transactions on. 54(11):1948-1959 Nov, 2006
Subject
Communication, Networking and Broadcast Technologies
Constellation diagram
Fading
Transmitters
Receiving antennas
Modulation coding
Signal design
Communications technology
Pairwise error probability
Communication systems
Design methodology
Constellation design
multiple antennas
noncoherent communications
trellis-coded modulation (TCM)
Language
ISSN
0090-6778
1558-0857
Abstract
We consider the problem of creating signal constellations for trellis-coded unitary space-time communication links, where neither the transmitter nor the receiver knows the fading gains of the channel. Our study includes constellation-design techniques for trellis-coded schemes with and without parallel paths, which allows us to find a tradeoff between low complexity and high performance. We present a new formulation of the constellation design problem for trellis-coded unitary space-time modulation (TCUSTM) schemes. The two key differences in our approach against those of other authors are that we not only combine the constellation design and mapping by set partitioning into one step, but we also use directly the Chernoff bound of the pairwise error probability as a design metric. By novelly employing a theorem for the Clarke subdifferential of the sum of the k largest singular values of the unitary matrix, we also present a numerical optimization procedure for finding signal constellations resulting in high-performance communications systems. To demonstrate the advantages of our new design method, we report the best constellations found for TCUSTM systems. Simulation results show that these constellations achieve a 1-dB coding gain at a bit-error rate of 10 -4 against usually used constellations.