Enabling Technologies for High Spectral-efficiency Coherent Optical Communication Networks ( Wiley Series in Microwave and Optical Engineering )

Description

Presents the technological advancements that enable high spectral-efficiency and high-capacity fiber-optic communication systems and networks This book examines key technology advances in high spectral-efficiency fiber-optic communication systems and networks, enabled by the use of coherent detection and digital signal processing (DSP). The first of this book’s 16 chapters is a detailed introduction. Chapter 2 reviews the modulation formats, while Chapter 3 focuses on detection and error correction technologies for coherent optical communication systems. Chapters 4 and 5 are devoted to Nyquist-WDM and orthogonal frequency-division multiplexing (OFDM). In chapter 6, polarization and nonlinear impairments in coherent optical communication systems are discussed. The fiber nonlinear effects in a non-dispersion-managed system are covered in chapter 7. Chapter 8 describes linear impairment equalization and Chapter 9 discusses various nonlinear mitigation techniques. Signal synchronization is covered in Chapters 10 and 11. Chapter 12 describes the main constraints put on the DSP algorithms by the hardware structure. Chapter 13 addresses the fundamental concepts and recent progress of photonic integration. Optical performance monitoring and elastic optical network technology are the subjects of Chapters 14 and 15. Finally, Chapter 16 discusses spatial-division multiplexing and MIMO processing technology, a potential solution to solve the capacity limit of single-mode fibers. • Contains basic theories and up-to-date technology advancements in each chapter • Describes how capacity-approaching coding schemes based on low-density parity check (LDPC) and spatially coupled LDPC codes can be constructed by combining iterative demodulation and decoding • Demonstrates that fiber nonlinearities can be accurately described by some analytical models, such as GN-EGN model • Presents impairment equalization and mitigation techniques Enabling Technologies for High Spectral-efficiency Coherent Optical Communication Networks is a reference for researchers, engineers, and graduate students. Xiang Zhou is a Tech Lead within Google Platform Advanced Technology. Before joining Google, he was with AT&T Labs, conducting research on various aspects of optical transmission and photonics networking technologies. Dr. Zhou is an OSA fellow and an associate editor for Optics Express. He has extensive publications in the field of optical communications. Chongjin Xie is a senior director at Ali Infrastructure Service, Alibaba Group. Before joining Alibaba Group, he was a Distinguished Member of Technical Staff at Bell Labs, Alcatel-Lucent. Dr. Xie is a fellow of OSA and senior member of IEEE. He is an associate editor of the Journal of Lightwave Technology and has served in various conference committees.

Chapter

Chapter 2 Multidimensional Optimized Optical Modulation Formats

2.1 Introduction

2.2 Fundamentals of Digital Modulation

2.2.1 System Models

2.2.2 Channel Models

2.2.3 Constellations and Their Performance Metrics

2.3 Modulation Formats and Their Ideal Performance

2.3.1 Format Optimizations and Comparisons

2.3.2 Optimized Formats in Nonlinear Channels

2.4 Combinations of Coding and Modulation

2.4.1 Soft-Decision Decoding

2.4.2 Hard-Decision Decoding

2.4.3 Iterative Decoding

2.5 Experimental Work

2.5.1 Transmitter Realizations and Transmission Experiments

2.5.2 Receiver Realizations and Digital Signal Processing

2.5.3 Formats Overview

2.5.4 Symbol Detection

2.5.5 Realizing Dimensions

2.6 Summary and Conclusions

References

Chapter 3 Advances in Detection and Error Correction for Coherent Optical Communications: Regular, Irregular, and Spatially Coupled LDPC Code Designs

3.1 Introduction

3.2 Differential Coding for Optical Communications

3.2.1 Higher-Order Modulation Formats

3.2.2 The Phase-Slip Channel Model

3.2.3 Differential Coding and Decoding

3.2.4 Maximum a Posteriori Differential Decoding

3.2.5 Achievable Rates of the Differentially Coded Phase-Slip Channel

3.3 LDPC-Coded Differential Modulation

3.3.1 Low-Density Parity-Check (LDPC) Codes

3.3.2 Code Design for Iterative Differential Decoding

3.3.3 Higher-Order Modulation Formats with V < Q

3.4 Coded Differential Modulation with Spatially Coupled LDPC Codes

3.4.1 Protograph-Based Spatially Coupled LDPC Codes

3.4.2 Spatially Coupled LDPC Codes with Iterative Demodulation

3.4.3 Windowed Differential Decoding of SC-LDPC Codes

3.4.4 Design of Protograph-Based SC-LDPC Codes for Differential-Coded Modulation

3.5 Conclusions

Appendix: LDPC-Coded Differential Modulation-Decoding Algorithms

Differential Decoding

LDPC Decoding

References

Chapter 4 Spectrally Efficient Multiplexing: Nyquist-WDM

4.1 Introduction

4.2 Nyquist Signaling Schemes

4.2.1 Ideal Nyquist-WDM (𝚫f = Rs)

4.2.2 Quasi-Nyquist-WDM (𝚫f > Rs)

4.2.3 Super-Nyquist-WDM (𝚫f < Rs)

4.3 Detection of a Nyquist-WDM Signal

4.4 Practical Nyquist-WDM Transmitter Implementations

4.4.1 Optical Nyquist-WDM

4.4.2 Digital Nyquist-WDM

4.5 Nyquist-WDM Transmission

4.5.1 Optical Nyquist-WDM Transmission Experiments

4.5.2 Digital Nyquist-WDM Transmission Experiments

4.6 Conclusions

References

Chapter 5 Spectrally Efficient Multiplexing-OFDM

5.1 OFDM Basics

5.2 Coherent Optical OFDM (CO-OFDM)

5.2.1 Principle of CO-OFDM

5.3 Direct-Detection Optical OFDM (DDO-OFDM)

5.3.1 Linearly Mapped DDO-OFDM

5.3.2 Nonlinearly Mapped DDO-OFDM (NLM-DDO-OFDM)

5.4 Self-Coherent Optical OFDM

5.4.1 Single-Ended Photodetector-Based SCOH

5.4.2 Balanced Receiver-Based SCOH

5.4.3 Stokes Vector Direct Detection

5.5 Discrete Fourier Transform Spread OFDM System (DFT-S OFDM)

5.5.1 Principle of DFT-S OFDM

5.5.2 Unique-Word-Assisted DFT-S OFDM (UW-DFT-S OFDM)

5.6 OFDM-Based Superchannel Transmissions

5.6.1 No-Guard-Interval CO-OFDM (NGI-CO-OFDM) Superchannel

5.6.2 Reduced-Guard-Interval CO-OFDM (RGI-CO-OFDM) Superchannel

5.6.3 DFT-S OFDM Superchannel

5.7 Summary

References

Chapter 6 Polarization and Nonlinear Impairments in Fiber Communication Systems

6.1 Introduction

6.2 Polarization of Light

6.3 PMD and PDL in Optical Communication Systems

6.3.1 PMD

6.3.2 PDL

6.4 Modeling of Nonlinear Effects in Optical Fibers

6.5 Coherent Optical Communication Systems and Signal Equalization

6.5.1 Coherent Optical Communication Systems

6.5.2 Signal Equalization

6.6 PMD and PDL Impairments in Coherent Systems

6.6.1 PMD Impairment

6.6.2 PDL Impairment

6.7 Nonlinear Impairments in Coherent Systems

6.7.1 System Model

6.7.2 Homogeneous PDM-QPSK System

6.7.3 Hybrid PDM-QPSK and 10-Gb/s OOK System

6.7.4 Homogeneous PDM-16QAM System

6.8 Summary

References

Chapter 7 Analytical Modeling of the Impact of Fiber Non-Linear Propagation on Coherent Systems and Networks

7.1 Why are Analytical Models Important?

7.1.1 What Do Professionals Need?

7.2 Background

7.2.1 Modeling Approximations

7.3 Introducing the GN-EGN Model Class

7.3.1 Getting to the GN Model

7.3.2 Towards the EGN Model

7.4 Model Selection Guide

7.4.1 From Model to System Performance

7.4.2 Point-to-Point Links

7.4.3 The Complete EGN Model

7.4.4 Case Study: Determining the Optimum System Symbol Rate

7.4.5 NLI Modeling for Dynamically Reconfigurable Networks

7.5 Conclusion

Acknowledgements

Chapter 8 Digital Equalization in Coherent Optical Transmission Systems

8.1 Introduction

8.2 Primer on the Mathematics of Least Squares FIR Filters

8.2.1 Finite Impulse Response Filters

8.2.2 Differentiation with Respect to a Complex Vector

8.2.3 Least Squares Tap Weights

8.2.4 Application to Stochastic Gradient Algorithms

8.2.5 Application to Wiener Filter

8.2.6 Other Filtering Techniques and Design Methodologies

8.3 Equalization of Chromatic Dispersion

8.3.1 Nature of Chromatic Dispersion

8.3.2 Modeling of Chromatic Dispersion in an Optical Fiber

8.3.3 Truncated Impulse Response

8.3.4 Band-Limited Impulse Response

8.3.5 Least Squares FIR Filter Design

8.3.6 Example Performance of the Chromatic Dispersion Compensating Filter

8.4 Equalization of Polarization-Mode Dispersion

8.4.1 Modeling of PMD

8.4.2 Obtaining the Inverse Jones Matrix of the Channel

8.4.3 Constant Modulus Update Algorithm

8.4.4 Decision-Directed Equalizer Update Algorithm

8.4.5 Radially Directed Equalizer Update Algorithm

8.4.6 Parallel Realization of the FIR Filter

8.4.7 Generalized 4 x 4 Equalizer for Mitigation of Frequency or Polarization-Dependent Loss and Receiver Skew

8.4.8 Example Application to Fast Blind Equalization of PMD

8.5 Concluding Remarks and Future Research Directions

Acknowledgments

References

Chapter 9 Nonlinear Compensation for Digital Coherent Transmission

9.1 Introduction

9.2 Digital Backward Propagation (DBP)

9.2.1 How DBP Works

9.2.2 Experimental Demonstration of DBP

9.2.3 Computational Complexity of DBP

9.3 Reducing DBP Complexity for Dispersion-Unmanaged WDM Transmission

9.4 DBP for Dispersion-Managed WDM Transmission

9.5 DBP for Polarization-Multiplexed Transmission

9.6 Future Research

References

Chapter 10 Timing Synchronization in Coherent Optical Transmission Systems

10.1 Introduction

10.2 Overall System Environment

10.3 Jitter Penalty and Jitter Sources in a Coherent System

10.3.1 VCO Jitter

10.3.2 Detector Jitter Definitions and Method of Numerical Evaluation

10.3.3 Laser FM Noise- and Dispersion-Induced Jitter

10.3.4 Coherent System Tolerance to Untracked Jitter

10.4 Digital Phase Detectors

10.4.1 Frequency-Domain Phase Detector

10.4.2 Equivalence to the Squaring Phase Detector

10.4.3 Equivalence to Godard's Maximum Sampled Power Criterion

10.4.4 Equivalence to Gardner's Phase Detector

10.4.5 Second Class of Phase Detectors

10.4.6 Jitter Performance of the Phase Detectors

10.4.7 Phase Detectors for Nyquist Signals

10.5 The Chromatic Dispersion Problem

10.6 The Polarization-Mode Dispersion Problem

10.7 Timing Synchronization for Coherent Optical OFDM

10.8 Future Research

References

Chapter 11 Carrier Recovery in Coherent Optical Communication Systems

11.1 Introduction

11.2 Optimal Carrier Recovery

11.2.1 MAP-Based Frequency and Phase Estimator

11.2.2 Cramer-Rao Lower Bound

11.3 Hardware-Efficient Phase Recovery Algorithms

11.3.1 Decision-Directed Phase-Locked Loop (PLL)

11.3.2 Mth-Power-Based Feedforward Algorithms

11.3.3 Blind Phase Search (BPS) Feedforward Algorithms

11.3.4 Multistage Carrier Phase Recovery Algorithms

11.4 Hardware-Efficient Frequency Recovery Algorithms

11.4.1 Coarse Auto-Frequency Control (ACF)

11.4.2 Mth-Power-Based Fine FO Estimation Algorithms

11.4.3 Blind Frequency Search (BFS)-Based Fine FO Estimation Algorithm

11.4.4 Training-Initiated Fine FO Estimation Algorithm

11.5 Equalizer-Phase Noise Interaction and its Mitigation

11.6 Carrier Recovery in Coherent OFDM Systems

11.7 Conclusions and Future Research Directions

References

Chapter 12 Real-Time Implementation of High-Speed Digital Coherent Transceivers

12.1 Algorithm Constraints

12.1.1 Power Constraint and Hardware Optimization

12.1.2 Parallel Processing Constraint

12.1.3 Feedback Latency Constraint

12.2 Hardware Implementation of Digital Coherent Receivers

References

Chapter 13 Photonic Integration

13.1 Introduction

13.2 Overview of Photonic Integration Technologies

13.3 Transmitters

13.3.1 Dual-Polarization Transmitter Circuits

13.3.2 High-Speed Modulators

13.3.3 PLC Hybrid I/Q Modulator

13.3.4 InP Monolithic I/Q Modulator

13.3.5 Silicon Monolithic I/Q Modulator

13.4 Receivers

13.4.1 Polarization Diversity Receiver Circuits

13.4.2 PLC Hybrid Receivers

13.4.3 InP Monolithic Receivers

13.4.4 Silicon Monolithic Receivers

13.4.5 Coherent Receiver with 120o Optical Hybrids

13.5 Conclusions

Acknowledgments

References

Chapter 14 Optical Performance Monitoring for Fiber-Optic Communication Networks

14.1 Introduction

14.1.1 OPM and Their Roles in Optical Networks

14.1.2 Network Functionalities Enabled by OPM

14.1.3 Network Parameters Requiring OPM

14.1.4 Desirable Features of OPM Techniques

14.2 OPM TECHNIQUES FOR DIRECT DETECTION SYSTEMS

14.2.1 OPM Requirements for Direct Detection Optical Networks

14.2.2 Overview of OPM Techniques for Existing Direct Detection Systems

14.2.3 Electronic DSP-Based Multi-Impairment Monitoring Techniques for Direct Detection Systems

14.2.4 Bit Rate and Modulation Format Identification Techniques for Direct Detection Systems

14.2.5 Commercially Available OPM Devices for Direct Detection Systems

14.2.6 Applications of OPM in Deployed Fiber-Optic Networks

14.3 OPM For Coherent Detection Systems

14.3.1 Non-Data-Aided OSNR Monitoring for Digital Coherent Receivers

14.3.2 Data-Aided (Pilot Symbols Based) OSNR Monitoring for Digital Coherent Receivers

14.3.3 OPM at the Intermediate Network Nodes Using Low-Cost Structures

14.3.4 OSNR Monitoring in the Presence of Fiber Nonlinearity

14.4 Integrating OPM Functionalities in Networking

14.5 Conclusions and Outlook

Acknowledgments

References

Chapter 15 Rate-Adaptable Optical Transmission and Elastic Optical Networks

15.1 Introduction

15.1.1 History of Elastic Optical Networks

15.2 Key Building Blocks

15.2.1 Optical Cross-Connect

15.2.2 Elastic Transponder

15.2.3 Elastic Aggregation

15.2.4 Performance Prediction

15.2.5 Resource Allocation Tools

15.2.6 Control Plane for Flexible Optical Networks

15.3 Practical Considerations for Elastic WDM Transmission

15.3.1 Flexible Transponder Architecture

15.3.2 Example of a Real-Time Energy-Proportional Prototype

15.4 Opportunities for Elastic Technologies in Core Networks

15.4.1 More Cost-Efficient Networks

15.4.2 More Energy Efficient Network

15.4.3 Filtering Issues and Superchannel Solution

15.5 Long Term Opportunities

15.5.1 Burst Mode Elasticity

15.5.2 Elastic Passive Optical Networks

15.5.3 Metro and Datacenter Networks

15.6 Conclusions

Acknowledgments

References

Chapter 16 Space-Division Multiplexing and MIMO Processing

16.1 Space-Division Multiplexing in Optical Fibers

16.2 Optical Fibers for SDM Transmission

16.3 Optical Transmission in SDM Fibers with Low Crosstalk

16.3.1 Digital Signal Processing Techniques for SDM Fibers with Low Crosstalk

16.4 MIMO-Based Optical Transmission in SDM Fibers

16.5 Impulse Response in SDM Fibers with Mode Coupling

16.5.1 Multimode Fibers with no Mode Coupling

16.5.2 Multimode Fibers with Weak Coupling

16.5.3 Multimode Fibers with Strong Mode Coupling

16.5.4 Multimode Fibers: Scaling to Large Number of Modes

16.6 MIMO-Based SDM Transmission Results

16.6.1 Digital Signal Processing for MIMO Transmission

16.7 Optical Components for SDM Transmission

16.7.1 Characterization of SDM Systems and Components

16.7.2 Swept Wavelength Interferometry for Fibers with Multiple Spatial Paths

16.7.3 Spatial Multiplexers

16.7.4 Photonic Lanterns

16.7.5 Spatial Diversity for SDM Components and Component sharing

16.7.6 Wavelength-Selective Switches for SDM

16.7.7 SDM Fiber Amplifiers

16.8 Conclusion

Acknowledgments

References

Index

EULA

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