Capacity Analysis and Receiver Design in the Presence of Fiber Nonlinearity

The majority of today\u27s global Internet traffic is conveyed through optical fibers. The ever-increasing data demands have pushed the optical systems to evolve from using regenerators and direct-direction receivers to a coherent multi-wavelength network. Future services like cloud computing and virtual reality will demand more bandwidth, so much so that the so called capacity-crunch is anticipated to happen in near future. Therefore, studying the capacity of the optical system is needed to better understanding and utilizing the existing fiber network.The characterization of the capacity of the dispersive and nonlinear optical fiber described by the nonlinear Schr{\"o}dinger equation is an open problem. There are a number of lower bounds on the capacity which are mainly obtained based on the mismatched decoding principle or by analyzing simplified channels. These lower bounds either fall to zero at high powers or saturate. The question whether the fiber-optical capacity has the same behavior as the lower bounds at high power is still open. Indeed, the only known upper bound increases with the power unboundedly. In this thesis, we first study how the fiber nonlinear distortion is modeled in some simplified channels and what is the influence of the simplifying assumptions on the capacity. To do so, the capacity of three different memoryless simplified models of the fiber-optical channel are studied. The results show that in the high-power regime the capacities of these models grow with different pre-logs, which indicates the profound impact of the simplifying assumptions on the capacity of these channels. Next, we turn our attention to demodulation and detection processes in the presence of fiber nonlinearity. We study a two-user memoryless network. It is shown that by deploying a nonlinearity-tailored demodulator, the performance improves substantially compared with matched filtering and sampling. In the absence of dispersion, we show that with the new receiver, unlike with matched filtering and sampling, arbitrarily low bit error rates can be achieved. Furthermore, we show via simulations that performance improvements can be obtained also for a low-dispersion fiber.Then, we study the performance of three different dispersion compensation methods in the presence of inter-channel nonlinear interference. The best performance, in terms of achievable information rate, is obtained by a link with inline per-channel dispersion compensation combined with a receiver that compensates for inter-channel nonlinearities. Finally, the capacity analysis is performed for short-reach noncoherent channel, where the source of nonlinearity is not the fiber but a square-law receiver. Capacity bounds are established in the presence of optical and thermal noises. Using these bounds we show that optical amplification is beneficial at low signal-to-noise ratios (SNRs), and detrimental at high SNRs. We quantify the SNR regime for each case for a wide range of channel parameters

Shannon capacity of nonlinear communication channels

The exponentially increasing demand on operational data rate has been met with technological advances in telecommunication systems such as advanced multilevel and multidimensional modulation formats, fast signal processing, and research into new different media for signal transmission. Since the current communication channels are essentially nonlinear, estimation of the Shannon capacity for modern nonlinear communication channels is required. This PhD research project has targeted the study of the capacity limits of different nonlinear communication channels with a view to enable a significant enhancement in the data rate of the currently deployed fiber networks. In the current study, a theoretical framework for calculating the Shannon capacity of nonlinear regenerative channels has been developed and illustrated on the example of the proposed here regenerative Fourier transform (RFT). Moreover, the maximum gain in Shannon capacity due to regeneration (that is, the Shannon capacity of a system with ideal regenerators – the upper bound on capacity for all regenerative schemes) is calculated analytically. Thus, we derived a regenerative limit to which the capacity of any regenerative system can be compared, as analogue of the seminal linear Shannon limit. A general optimization scheme (regenerative mapping) has been introduced and demonstrated on systems with different regenerative elements: phase sensitive amplifiers and the proposed here multilevel regenerative schemes: the regenerative Fourier transform and the coupled nonlinear loop mirror

Implementation and investigation of a real-time optical 16-QAM transmission system with FPGA-based coherent receiver

Diese Dissertation stellt die erste Echtzeitübertragung von 16-QAM mit FPGA-basierter DSPU vor. 2.5 Gb/s wurden dabei über 20 und 100 km übertragen und kohärent (heterodyn) in Echtzeit empfangen. Die Bitfehlerquote (BER) lag dabei unterhalb der Schwelle moderner Fehlervorwärtskorrekturverfahren mit 7% Overhead. Mit BPS (Blind Phase Search) und QPSK partitioning (QPSKP) wurden zwei unterschiedliche Techniken zur Phasenrückgewinnung implementiert und durch Echtzeitmessung verglichen. Der Einfluss der Auflösung der erforderlichen Analog-Digital-Umsetzer (ADC) wurde ebenfalls untersucht, welche ebenfalls eine Herausforderung für kohärente Echtzeitübertragung darstellt. Der Einfluss von Phasenrauschen wird hier auch gezeigt, welches vorwiegend von den verwendeten Lasern, optischen Verstärkern und nichtlinearen Effekten in den optischen Fasern abhängt. Darüber hinaus wurden verschiedene Arbeitspunkte des 16-QAM-Modulators in Echtzeit getestet und die optimalen Bedingungen für eine minimale Bitfehlerquote gefunden.In this dissertation the first published real-time implementation of a 16-QAM transmission system with FPGA-based DSP is presented. 2.5 Gb/s coherent 16-QAM data has been optically transmitted over 20 and 100 km and synchronously received by heterodyning in a real-time I&Q receiver, with BER below the threshold of a state-of-the-art FEC (7% overhead). Two techniques of feed-forward carrier phase recovery (Blind Phase Search (BPS) and QPSK partitioning (QPSKP)) were tested in a real-time transmission experiment and compared with each other. The influence of the required resolution of the analog-to-digital converter (ADC) has been investigated, which is a challenge of real-time coherent transmission systems. The influence of phase noise in 16-QAM, which is mainly contributed from laser sources, optical amplifiers, and nonlinear effects in optical fibers is also shown. Moreover, different operation points of a 16-QAM modulator were tested in real-time and an optimal condition is found which minimizes the BER.Tag der Verteidigung: 10.09.2013Paderborn, Univ., Diss., 201

Optical Fibre Communication Systems in the Nonlinear Regime

This thesis studies solutions to increase the capacity of optical communication systems in the presence of nonlinear effects. Extending the optical bandwidth and mitigating nonlinear distortions were identified as promising ways to increase the throughput in transmission system. Raman amplification was investigated as a potential replacement of the conventional erbium-doped fibre amplifier (EDFA). In this context, the performance of discrete and distributed Raman amplifiers was studied in the linear and nonlinear regimes. Despite the bandwidth benefits, discrete Raman amplifiers were shown to exhibit an increased noise figure and nonlinear distortions, compared to EDFA. Additionally, for the first time, a thorough study of digital back-propagation for distributed Raman amplified links was performed, allowing for higher transmission rates at the expense of an increase of 25% in the algorithm complexity. A major focus of this work was to investigate the growth of nonlinear distortions in optical communication systems as the bandwidth is expanded. This work was the first to experimentally validate the Gaussian noise model (and variations accounting for inter-channel Raman scattering) in a wideband transmission regime up to 9~THz. Using these models, the merit of increasing the optical bandwidth was addressed, showing a beneficial sublinear increase in throughput despite the growth of nonlinear effects. An alternative nonlinear compensation method is optical phase conjugation (OPC). The performance of OPC was experimentally evaluated over an installed fibre link, showing limited improvements when OPC is used with practical transmission constraints. To overcome this limitation, a new method combining OPC and Volterra equalisation was developed. This method was shown to enhance the performance of two limited nonlinear compensation techniques, offering an attractive trade-off between performance and complexity. The results obtained in this research allow for higher information throughput to be transmitted, and can be used to plan and design future communication system and networks around the world

2022, nr 2, JTIT

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