MIMO capacities and outage probabilities in spatially multiplexed optical transport systems.

With wavelength-division multiplexing (WDM) rapidly nearing its scalability limits, space-division multiplexing (SDM) seems the only option to further scale the capacity of optical transport networks. In order for SDM systems to continue the WDM trend of reducing energy and cost per bit with system capacity, integration will be key to SDM. Since integration is likely to introduce non-negligible crosstalk between multiple parallel transmission paths, multiple-input multiple output (MIMO) signal processing techniques will have to be used. In this paper, we discuss MIMO capacities in optical SDM systems, including related outage considerations which are an important part in the design of such systems. In order to achieve the low-outage standards required for optical transport networks, SDM transponders should be capable of individually addressing, and preferably MIMO processing all modes supported by the optical SDM waveguide. We then discuss the effect of distributed optical noise in MIMO SDM systems and focus on the impact of mode-dependent loss (MDL) on system capacity and system outage. Through extensive numerical simulations, we extract scaling rules for mode-average and mode-dependent loss and show that MIMO SDM systems composed of up to 128 segments and supporting up to 128 modes can tolerate up to 1 dB of per-segment MDL at 90% of the system's full capacity at an outage probability of 10(-4).

[1]  Peter J. Winzer,et al.  Beyond 100G Ethernet , 2010, IEEE Communications Magazine.

[2]  Stuart,et al.  Dispersive multiplexing in multimode optical fiber , 2000, Science.

[3]  A. Agmon,et al.  Coherent Transmission Direct Detection MIMO Over Short-Range Optical Interconnects and Passive Optical Networks , 2008, Journal of Lightwave Technology.

[4]  F. B. Shepherd,et al.  Selective randomized load balancing and mesh networks with changing demands , 2006 .

[5]  A. Mecozzi,et al.  The statistics of polarization-dependent loss in optical communication systems , 2002, IEEE Photonics Technology Letters.

[6]  Sascha Vorbeck,et al.  Polarization mode dispersion and polarization dependent loss in optical fiber systems , 2004, SPIE Optics East.

[7]  Helmut Bölcskei,et al.  On the capacity of OFDM-based spatial multiplexing systems , 2002, IEEE Trans. Commun..

[8]  P. Winzer,et al.  Capacity Limits of Optical Fiber Networks , 2010, Journal of Lightwave Technology.

[9]  B. Wedding,et al.  Enhanced PMD mitigation by polarization scrambling and forward error correction , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[10]  P. Winzer.  Energy-Efficient Optical Transport Capacity Scaling Through Spatial Multiplexing , 2011, IEEE Photonics Technology Letters.

[11]  Helmut Bölcskei,et al.  An overview of MIMO communications - a key to gigabit wireless , 2004, Proceedings of the IEEE.

[12]  M. Shtaif,et al.  Signal-to-noise-ratio degradation caused by polarization-dependent loss and the effect of dynamic gain equalization , 2004, Journal of Lightwave Technology.

[13]  S Berdagué,et al.  Mode division multiplexing in optical fibers. , 1982, Applied optics.

[14]  Masanori Koshiba,et al.  Novel multi-core fibers for mode division multiplexing: proposal and design principle , 2009, IEICE Electron. Express.

[15]  J. Lasserre.  A trace inequality for matrix product , 1995, IEEE Trans. Autom. Control..

[16]  Nicolas Gisin,et al.  Statistical prediction and experimental verification of concatenations of fiber optic components with polarization dependent loss , 1998 .

[17]  Robert W. Tkach.  Scaling optical communications for the next decade and beyond , 2010 .

[18]  Werner Rosenkranz,et al.  Experimental Realisation of 3 × 3 MIMO System with Mode Group Diversity Multiplexing Limited by Modal Noise , 2008, OFC/NFOEC 2008 - 2008 Conference on Optical Fiber Communication/National Fiber Optic Engineers Conference.

[19]  Barry G. Grossman,et al.  Spatial domain multiplexing: A new dimension in fiber optic multiplexing , 2008 .

[20]  T. Morioka.  New generation optical infrastructure technologies: “EXAT initiative” towards 2020 and beyond , 2009, 2009 14th OptoElectronics and Communications Conference.

[21]  Antonio Mecozzi,et al.  Statistics of polarization dependent loss in an installed long-haul WDM system. , 2011, Optics express.

[22]  M. Magarini,et al.  Spectrally Efficient Long-Haul Optical Networking Using 112-Gb/s Polarization-Multiplexed 16-QAM , 2010, Journal of Lightwave Technology.

[23]  Mark Shtaif,et al.  Capacity limitations in fiber-optic communication systems as a result of polarization-dependent loss. , 2009, Optics letters.

[24]  Y. Fukada,et al.  Probability density function of polarization dependent loss (PDL) in optical transmission system composed of passive devices and connecting fibers , 2002 .

[25]  Meir Feder,et al.  Use of space-time coding in coherent polarization-multiplexed systems suffering from polarization-dependent loss. , 2010, Optics letters.

[26]  S. Bigo,et al.  Nonlinear effects in long-haul transmission over bimodal optical fibre , 2010, 36th European Conference and Exhibition on Optical Communication.

[27]  Detlef Suikat,et al.  High speed OFDM data transmission over 5 km GI-multimode fiber using spatial multiplexing with 2×4 MIMO processing , 2010, 36th European Conference and Exhibition on Optical Communication.

[28]  A. Sizmann,et al.  Statistics of polarization-dependent loss, insertion loss, and signal power in optical communication systems , 2002, IEEE Photonics Technology Letters.

[29]  Peter J. Winzer,et al.  Outage calculations for spatially multiplexed fiber links , 2011, 2011 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference.

[30]  Mark Shtaif,et al.  Performance degradation in coherent polarization multiplexed systems as a result of polarization dependent loss. , 2008, Optics express.

[31]  L. Moller,et al.  Demonstration of broad-band PMD mitigation in the presence of PDL through distributed fast polarization scrambling and forward-error correction , 2005, IEEE Photonics Technology Letters.

[32]  Gerard J. Foschini,et al.  Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas , 1996, Bell Labs Technical Journal.

[33]  T F Taunay,et al.  Silicon Photonics Core-, Wavelength-, and Polarization-Diversity Receiver , 2011, IEEE Photonics Technology Letters.