Multidimensional Modulation Formats for Coherent Single- and Multi-Core Fiber-Optical Communication Systems
Doctoral thesis, 2015

This thesis covers multidimensional modulation formats for coherent optical communication systems including spatial division multiplexed systems using multicore fibers. The single-mode optical signal has four dimensions which are spanned by the two orthogonal polarizations and the in-phase and quadrature components. By optimizing modulation formats in the four-dimensional (4D) signal space, formats with increased asymptotic power efficiency and/or spectral efficiency can be found. In this thesis, a range of 4D modulation formats are studied and several experimental realizations of different 4D formats are presented. This thesis also includes modulation formats with higher dimensionality. Two different experimental realizations of biorthogonal modulation in eight dimensions are presented where either two consecutive timeslots or two wavelength channels are used to span the eight dimensions. In the experiments, the multidimensional formats are compared to conventional two-dimensional formats in terms of achievable transmission reach. Multicore fibers systems are also investigated in this thesis and the impact of inter-core crosstalk on quadrature phase shift keying signals is studied. Further, multidimensional modulation formats over spatial superchannels consisting of signals in several cores are explored. Experimental demonstrations of low-complexity formats capable of increased transmission reach at a small reduction in spectral efficiency are presented. This thesis also studies the impact on the achievable information rate using mutual information for different assumptions of the channel distribution in fiber-optical transmission experiments. It is shown that decoders operating in four-dimensions can achieve significant higher achievable information rates for highly nonlinear fiber channels.

four-dimensional (4D) estimates of mutual information (MI)

multidimensional modulation formats

lattice based modulation

biorthogonal modulation in eight dimensions

power efficiency

16-ary quadrature amplitude modulation (16QAM)

quadrature phase shift keying (QPSK)

polarization-switched QPSK (PS-QPSK)

128-ary set-partitioning 16QAM (128-SP-16QAM)

spectral efficiency

single parity check-coded modulation

multidimensional position modulation

achievable information rate.

iber-optical communication

multicore fiber transmission

binary pulse position modulation QPSK (2PPM-QPSK)


A423 (Kollektorn)
Opponent: Prof. Klaus Petermann


Tobias Eriksson

Chalmers, Microtechnology and Nanoscience (MC2), Photonics

Experimental Investigation of a Four-Dimensional 256-ary Lattice-based Modulation Format

2015 Optical Fiber Communications Conference and Exhibition, OFC 2015, Los Angeles, United States, 22-26 March 2015,; (2015)

Paper in proceeding

Single parity check-coded 16QAM over spatial superchannels in multicore fiber transmission

Optics Express,; Vol. 23(2015)p. 14569-14582

Journal article

Biorthogonal modulation in 8 dimensions experimentally implemented as 2PPM-PS-QPSK

Optical Fiber Communication Conference, OFC 2014,; (2014)p. Art. no. 6886984-

Paper in proceeding

K-Over-L Multidimensional Position Modulation

Journal of Lightwave Technology,; Vol. 32(2014)p. 2254-2262

Journal article

Modulation formats for multi-core fiber transmission

Optics Express,; Vol. 22(2014)p. 32457-32469

Journal article

Long-Haul Transmission of PM-2PPM-QPSK at 42.8 Gbit/s

Optical Fiber Communications Conference (OFC) 2013, Anaheim,; (2013)

Paper in proceeding

Four-Dimensional Estimates of Mutual Information in Coherent Optical Communication Experiments

European Conference on Optical Communications (ECOC), Valencia, Spain, 27 September - 1 October 2015,; (2015)

Paper in proceeding

Frequency and polarization switched QPSK

39th European Conference and Exhibition on Optical Communication, ECOC 2013; London; United Kingdom; 22 September 2013 through 26 September 2013,; (2013)p. 816-818

Paper in proceeding

Comparison of 128-SP-QAM and PM-16QAM in long-haul WDM transmission

Optics Express,; Vol. 21(2013)p. 19269-19279

Journal article

Areas of Advance

Information and Communication Technology

Subject Categories


Communication Systems



Technical report MC2 - Department of Microtechnology and Nanoscience, Chalmers University of Technology

A423 (Kollektorn)

Opponent: Prof. Klaus Petermann

More information