MIMO equalization with adaptive step size for few-mode fiber transmission systems.

Optical multiple-input multiple-output (MIMO) transmission systems generally employ minimum mean squared error time or frequency domain equalizers. Using an experimental 3-mode dual polarization coherent transmission setup, we show that the convergence time of the MMSE time domain equalizer (TDE) and frequency domain equalizer (FDE) can be reduced by approximately 50% and 30%, respectively. The criterion used to estimate the system convergence time is the time it takes for the MIMO equalizer to reach an average output error which is within a margin of 5% of the average output error after 50,000 symbols. The convergence reduction difference between the TDE and FDE is attributed to the limited maximum step size for stable convergence of the frequency domain equalizer. The adaptive step size requires a small overhead in the form of a lookup table. It is highlighted that the convergence time reduction is achieved without sacrificing optical signal-to-noise ratio performance.

[1]  Maxim Kuschnerov,et al.  73.7 Tb/s (96X3x256-Gb/s) mode-division-multiplexed DP-16QAM transmission with inline MM-EDFA , 2012 .

[2]  F. Poletti,et al.  Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80-km few-mode fiber with inline MM-EDFA and blind DSP , 2012, 2012 38th European Conference and Exhibition on Optical Communications.

[3]  A. Gnauck,et al.  32-bit/s/Hz spectral efficiency WDM transmission over 177-km few-mode fiber , 2013, 2013 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference (OFC/NFOEC).

[4]  F. Hauske,et al.  DSP for Coherent Single-Carrier Receivers , 2009, Journal of Lightwave Technology.

[5]  최병구,et al.  다중 사용자 신호 검출을 위한 여러 개의 적응 상수를 사용한 적응 최소 평균 자승 알고리즘에 관한 연구 ( The Adaptive Least Mean Square Algorithm Using Several Step Size for Multiuser Detection ) , 2000 .

[7]  Maxim Kuschnerov,et al.  Single DPLL Joint Carrier Phase Compensation for Few-Mode Fiber Transmission , 2013, IEEE Photonics Technology Letters.

[8]  L. Gruner-Nielsen,et al.  Measuring distributed mode scattering in few mode fibers with high and low differential group delay , 2012, 2012 IEEE Photonics Society Summer Topical Meeting Series.

[9]  A.M.J. Koonen,et al.  Adaptive step size MIMO equalization for few-mode fiber transmission systems , 2013 .

[10]  Maxim Kuschnerov,et al.  Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80-km few-mode fiber with inline MM-EDFA and blind DSP , 2014 .

[11]  S. Savory Digital Coherent Optical Receivers: Algorithms and Subsystems , 2010, IEEE Journal of Selected Topics in Quantum Electronics.

[12]  A D Ellis,et al.  73.7 Tb/s (96 x 3 x 256-Gb/s) mode-division-multiplexed DP-16QAM transmission with inline MM-EDFA. , 2012, Optics express.

[13]  D. Gloge Weakly guiding fibers. , 1971, Applied optics.

[14]  Man Zhihong,et al.  A Fast Variable Step-Size LMS Algorithm with System Identification , 2007, 2007 2nd IEEE Conference on Industrial Electronics and Applications.

[15]  Kazuro Kikuchi,et al.  Adaptive frequency-domain equalization in digital coherent optical receivers. , 2011, Optics express.

[16]  Zhuhong Zhang,et al.  Chromatic Dispersion Estimation in Digital Coherent Receivers , 2011, Journal of Lightwave Technology.

[17]  L Grüner-Nielsen,et al.  First demonstration and detailed characterization of a multimode amplifier for Space Division Multiplexed transmission systems. , 2011, Optics express.

[18]  Junqiang Hu,et al.  146λ×6×19-Gbaud wavelength- and mode-division multiplexed transmission over 10×50-km spans of few-mode fiber with a gain-equalized few-mode EDFA , 2013, 2013 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference (OFC/NFOEC).