A novel support vector machine robust model based electrical equaliser for coherent optical orthogonal frequency division multiplexing systems

Classifiers, such as artificial neural networks non-linear equaliser (ANN-NLE), Wiener–Hammerstein non-linear equaliser, Volterra non-linear equaliser (Volterra-NLE) and support vector machine non-linear equaliser (SVM-NLE), can play a significant role in compensating non-linear imperfections in the optical communications context. Using classifiers to mitigate the non-linear effects in coherent optical orthogonal frequency division multiplexing (CO-OFDM) systems is an interesting idea to be investigated. In this study, a novel support vector machine robust version, specifically adapted to a 100 Gb/s CO-OFDM data structure for long haul distance, is proposed. Firstly, the authors demonstrate that SVM-NLE upgrades the system performance by about 10−1 in terms of bit-error rate compared to Volterra-NLE at optical signal-to-noise ratio equal to 14 dB. Then, they show that it can double the transmission distance up to 1600 km over single mode fibre channel. Furthermore, a performance comparison is performed using 16 quadrature amplitude modulation and 40 Gb/s bit rate for SVM-NLE, ANN-NLE and inverse Volterra series transfer function non-linear equaliser, respectively.

[1]  Jie Pan,et al.  Nonlinear Electrical Compensation for the Coherent Optical OFDM System , 2011, Journal of Lightwave Technology.

[2]  Y Tang,et al.  Coherent optical OFDM: theory and design. , 2008, Optics express.

[3]  Paolo Campolucci,et al.  Complex-valued neural networks with adaptive spline activation function for digital-radio-links nonlinear equalization , 1999, IEEE Trans. Signal Process..

[4]  Robert D. Nowak,et al.  Tensor product basis approximations for Volterra filters , 1996, IEEE Trans. Signal Process..

[5]  Zabih Ghassemlooy,et al.  Fibre impairment compensation using artificial neural network equalizer for high-capacity coherent optical OFDM signals , 2014, 2014 9th International Symposium on Communication Systems, Networks & Digital Sign (CSNDSP).

[6]  Zabih Ghassemlooy,et al.  Artificial Neural Network Nonlinear Equalizer for Coherent Optical OFDM , 2015, IEEE Photonics Technology Letters.

[7]  Moshe Nazarathy,et al.  Nonlinear Digital Back Propagation compensator for coherent optical OFDM based on factorizing the Volterra Series Transfer Function. , 2013, Optics express.

[8]  Marie-Laure Boucheret,et al.  Neural networks-based turbo equalization of a satellite communication channel , 2014, 2014 IEEE 15th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[9]  Changyuan Yu,et al.  Channel Equalization in Optical OFDM Systems Using Independent Component Analysis , 2014, Journal of Lightwave Technology.

[10]  Juhao Li,et al.  Experimental demonstration of 1.08 Tb/s PDM CO-SCFDM transmission over 3170 km SSMF. , 2012, Optics express.

[11]  Sofien Mhatli,et al.  Analysis of wiener Hammerstein equalizer for optical OFDM modem , 2015, Other Conferences.

[12]  William Shieh,et al.  OFDM for Optical Communications , 2009 .

[13]  Marc Wuilpart,et al.  Fiber Nonlinearity Equalizer Based on Support Vector Classification for Coherent Optical OFDM , 2016, IEEE Photonics Journal.

[14]  M. E. Mousa-Pasandi,et al.  Zero-overhead phase noise compensation via decision-directed phase equalizer for coherent optical OFDM. , 2010, Optics express.

[15]  Umesh Pinjarkar,et al.  An Optical OFDM Modem with Adaptive Volterra Equalizer , 2015 .

[16]  Arthur James Lowery,et al.  Improved single channel backpropagation for intra-channel fiber nonlinearity compensation in long-haul optical communication systems. , 2010, Optics express.

[17]  Sofien Mhatli,et al.  Nonlinear blind equalization for 16-QAM coherent optical OFDM using support vector machines , 2016 .

[18]  Jie Pan,et al.  Wiener–Hammerstein Model Based Electrical Equalizer for Optical Communication Systems , 2011, Journal of Lightwave Technology.

[19]  James A. Bucklew,et al.  Support vector machine techniques for nonlinear equalization , 2000, IEEE Trans. Signal Process..

[20]  Sofien Mhatli,et al.  Long-reach OFDM WDM-PON delivering 100 Gb/s of data downstream and 2 Gb/s of data upstream using a continuous-wave laser and a reflective semiconductor optical amplifier. , 2014, Optics letters.

[21]  Alan E. Willner,et al.  Optical Fiber Telecommunications Volume VIB, Sixth Edition: Systems and Networks , 2013 .

[22]  Eric Pierre Simon,et al.  On classifiers for blind feature-based automatic modulation classification over multiple-input-multiple-output channels , 2016, IET Commun..

[23]  Elias Giacoumidis,et al.  Volterra-Based Reconfigurable Nonlinear Equalizer for Coherent OFDM , 2014, IEEE Photonics Technology Letters.

[24]  C.F.N. Cowan,et al.  Adaptive equalization of finite nonlinear channels using multilayer perceptron , 1990 .