An Energy Efficient QAM Modulation with Multidimensional Signal Constellation
Abstract
Packing constellations points in higher dimensions, the concept of multidimensional modulation exploits the idea drawn from geometry for searching dense sphere packings in a given dimension, utilising it to minimise the average energy of the underlying constellations. The following work analyses the impactof spherical shaping of the constellations bound instead of the traditional, hyper-cubical bound. Balanced constellation schemes are obtained with the N -dimensional simplex merging algorithm. The performance of constellations of dimensions 2, 4 and 6 is compared to the performance of QAM modulations of equivalent throughputs in the sense of bits transmitted per complex (two- dimensional) symbols. The considered constellations give an approximately 0.7 dB to 1 dB gain in terms of BER over a standard QAM modulation.
References
Technical Radio Group 3GPP. 3GPP TS 36.211, Physical Channels and
Modulations. Technical Report Release 8, 3rd Generation Partnership
Project (3GPP), 2009.
E. Ben Slimane, S. Jarboui, and A. Bouallegue. Concatenated Or-
thogonal Space-Time Block Coding with Four Dimensional 8-PSK
Trellis Coded Modulation over Fading Channels in Absence of Channel
State Information. In Computing, Communications and Applications
Conference (ComComAp), 2012, pages 162–166. Ieee, jan 2012.
E. Biglieri and M. Elia. Multidimensional Modulation and Coding
for Band-Limited Digital Channels. IEEE Transactions on Information
Theory, 34(4):803–809, 1988.
J. Boutros, E. Viterbo, C. Rastello, and J. C. Belfiore. Good Lattice
Constellations for Both Rayleigh Fading and Gaussian Channels. IEEE
Transactions on Information Theory, 42(2):502–518, 1996.
J. H. Conway and N. J. A. Sloane. Sphere packings, lattices and groups.
Springer Science, New York, 2nd edition, 1993.
A. Dochhan, B. Teipen, and M. Eiselt. A 3-Dimensional Simplex Mod-
ulation Format with Improved OSNR Performance Compared to DP-
BPSK. In Photonic Networks, 14. 2013 ITG Symposium. Proceedings,
pages 1–5, 2013.
ETSI EN 302 755 Digital Video Broadcasting (DVB). Frame structure
channel coding and modulation for a second generation digital terrestrial
television broadcasting system (DVB-T2), 2012.
J. K. Fischer, S. Alreesh, R. Elschner, F. Frey, N. Markus, C. Schmidt-
Langhorst, and C. Schubert. Bandwidth-Variable Transceivers based
on Four-Dimensional Modulation Formats. Journal of Lightwave
Technology, 32(16):2886–2895, 2014.
J. K. Fischer, S. Alreesh, T. Tanimura, R. Elschner, F. Frey, C. Meuer,
and L. Molle. Four-Dimensional Coded Modulation : 6PolSK-QPSK.
In Photonic Networks, 14. 2013 ITG Symposium. Proceedings, pages
–10, 2013.
A. Gersho and V. B. Lawrence. Multidimensional Signalling Constel-
lations for Voiceband Data Transmission. IEEE Journal on selected
areas in communication, SAC-2(5):687–702, 1984.
J. S. Han and M. J. Kim. Offset Quadrature-Quadrature Phase Shift
Keying with Half-Sine Pulse Shaping. In 2013 International Conference
on ICT Convergence (ICTC), pages 931–935. Ieee, oct 2013.
IEEE Task P754. IEEE 754-2008, Standard for Floating-Point Arith-
metic, 2008.
M. Karlsson and E. Agrell. Spectrally efficient four-dimensional
modulation. In Optical Fiber Communication Conference, pages 1–3,
Washington, D.C., 2012. Osa.
J. Karout, X. Liu, C. Sethumadhavan, E. Agrell, M. Karlsson, and
R. J. Essiambre. Experimental Demonstration of an Optimized 16-ary
Four-Dimensional Modulation Format Using Optical OFDM. In Opti-
cal Fiber Communication Conference/National Fiber Optic Engineers
Conference 2013, pages 1–3, Washington, D.C., 2013. Osa.
NEWCOM. libitpp, 2007.
J. Porath and T. Aulin. Design of multidimensional signal constellations.
Communications, IEE Proceedings-, 150(5):317–323, 2003.
K. H. Priya and M. Tamilarasi. A Trellis-Coded Modulation Scheme
with 32-Dimensional Constant Envelope Q2 PSK Constellation. In
International Conference on Communication and Signal Processing,
pages 821–825, 2013.
J. G. Proakis and M. Salehi. Digital Communications. McGraw-Hill
Education, New York, 5 edition, 2008.
D. Saha and T. Birdsal. Quadrature-Quadrature Phase-Shift Keying.
IEEE Transactions on Communications, 37(5):473–448, 1989.
H. Sari. A generalization of rnultidimensional modulation. In IEEE
International Conference on Communications, pages 683–687, Seattle,
M. Visintin, E. Biglieri, and V. Casteuani. Four-Dimensional Signaling
for Bandlimited Channels. IEEE Transactions on Communications,
(2):403–409, 1994.
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