Efficient Discrete Rate Assignment and Power Optimization in Optical Communication Systems Following the Gaussian Noise Model

Computationally efficient heuristics for solving the discrete-rate capacity optimization problem for optical fiber communication systems are investigated. In the Gaussian noise nonlinearity model regime, this class of problem is an NP-hard mixed integer convex problem. The proposed heuristic minimizes the number of calls required to solve the computationally intensive problem of determining the feasibility of proposed discrete rate allocations. In a live system, optimization using this algorithm minimizes the number of potential discrete rate allocations tested for feasibility while additional discrete system capacity is extracted. In exemplary point-to-point links at 50 Gbaud with 50 Gb/s rate steps, the mean lost capacity per modem is reduced from 24.5 Gb/s with truncation to 7.95 Gb/s with discrete-rate optimization. With 25 Gb/s rate steps, the mean lost capacity is reduced from 12.3 Gb/s to 2.07 Gb/s. An unbiased metric is proposed to extend the capacity optimization objective from point-to-point links to mesh networks. A gain of 13% in distance-times-capacity metric is obtained from discrete-rate optimization with 50 Gb/s rate steps, and a 7.5% gain is obtained with 25 Gb/s rate steps.

[1]  John M. Cioffi,et al.  MMSE decision-feedback equalizers and coding. II. Coding results , 1995, IEEE Trans. Commun..

[2]  David J. Ives,et al.  Throughput Gains From Adaptive Transceivers in Nonlinear Elastic Optical Networks , 2017, Journal of Lightwave Technology.

[3]  Gabriella Bosco,et al.  EGN model of non-linear fiber propagation. , 2014, Optics express.

[4]  David J. Ives,et al.  Routing, modulation, spectrum and launch power assignment to maximize the traffic throughput of a nonlinear optical mesh network , 2015, Photonic Network Communications.

[5]  Panos M. Pardalos,et al.  Nonlinear Assignment Problems , 2000 .

[6]  Inder Monga,et al.  Beyond 100 Gb/s: capacity, flexibility, and network optimization [Invited] , 2017, IEEE/OSA Journal of Optical Communications and Networking.

[7]  Fred W. Glover,et al.  The feasibility pump , 2005, Math. Program..

[8]  Yuichi Akiyama,et al.  Launch power optimization co-operated with digital nonlinear compensator for elastic optical network , 2015, 2015 Opto-Electronics and Communications Conference (OECC).

[9]  J. Campello Practical bit loading for DMT , 1999, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311).

[10]  Pierre Bonami,et al.  Heuristics for convex mixed integer nonlinear programs , 2012, Comput. Optim. Appl..

[11]  Joseph M. Kahn,et al.  Convex Channel Power Optimization in Nonlinear WDM Systems Using Gaussian Noise Model , 2016, Journal of Lightwave Technology.

[12]  Salvatore Spadaro,et al.  Optimal route, spectrum, and modulation level assignment in split-spectrum-enabled dynamic elastic optical networks , 2014, IEEE/OSA Journal of Optical Communications and Networking.

[13]  David J. Ives,et al.  Adapting Transmitter Power and Modulation Format to Improve Optical Network Performance Utilizing the Gaussian Noise Model of Nonlinear Impairments , 2014, Journal of Lightwave Technology.

[14]  J. Kahn,et al.  Rate-Adaptive Coding for Optical Fiber Transmission Systems , 2011, Journal of Lightwave Technology.

[15]  Darli A. A. Mello,et al.  Optical Networking With Variable-Code-Rate Transceivers , 2014, Journal of Lightwave Technology.

[16]  Raymond Hemmecke,et al.  Nonlinear Integer Programming , 2009, 50 Years of Integer Programming.

[17]  P. Poggiolini,et al.  The GN-Model of Fiber Non-Linear Propagation and its Applications , 2014, Journal of Lightwave Technology.

[18]  Henk Wymeersch,et al.  Resource allocation for flexible-grid optical networks with nonlinear channel model [invited] , 2015, IEEE/OSA Journal of Optical Communications and Networking.

[19]  Seb J. Savory Congestion Aware Routing in Nonlinear Elastic Optical Networks , 2014, IEEE Photonics Technology Letters.

[20]  P. Poggiolini The GN Model of Non-Linear Propagation in Uncompensated Coherent Optical Systems , 2012, Journal of Lightwave Technology.

[21]  Erik Agrell,et al.  Multidimensional Modulation and Coding in Optical Transport , 2017, Journal of Lightwave Technology.

[22]  John M. Cioffi,et al.  MMSE decision-feedback equalizers and coding. I. Equalization results , 1995, IEEE Trans. Commun..