CCaappaacciittyy LLiimmiittss ooff FFiibbeerr--OOppttiicc CCoommmmuunniiccaattiioonn SSyysstteemmss René-Jean Essiambre1, Gerard Foschini1, Peter Winzer1 and Gerhard Kramer2 1 Bell Labs, Alcatel-Lucent, Holmdel, NJ, USA 2 Bell Labs, Alcatel-Lucent, Murray Hill, NJ, USA Email: [email protected] Presentation at OFC in San Diego, California, USA Optical Fiber Communication (OFC) Conference (OFC), March 2009 Acknowledgment Jim Gordon Andy Chraplyvy Bob Tkach Adel Saleh* Maurizio Magarini Bert Basch Torsten Freckmann Stéphane Colas Herwig Kogelnik Seb Savory * Early part of this work was supported by DARPA under contract HR0011-06-C-0098 2OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009 Outline 1. Introduction 2. Information Theory 3. Constellations and Modulation 4. “The Fiber Channel” 5. Fiber Transmission 6. Fiber Nonlinearity Compensation 7. Capacity of the Fiber Channel 8. Predictions based on Capacity Limit Estimates 9. Summary and Outlook 10. Acronyms and References 3OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009 IInnttrroodduuccttiioonn 4OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009 Historical Evolution of Fiber-Optic Systems Capacity Record Capacities 100 Optical Amplifier (cid:198) WDM 10 s / b y T t i c a p l 1 e a n n c a h m c - e i t Syst 100 M ul S i n g l e c h a n n e l s D M ) T / ( E b G 10 1986 1990 1994 1998 2002 2006 2010 Year What is the ultimate capacity that a single optical fiber can carry? 5OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009 What are We Trying to Determine? Transmission of information over fiber-optic networks Impairment Capacity Additive Noise Information theory Fiber Kerr nonlinearity How to determine a capacity? Is there a fundamental limit to fiber capacity imposed by the Kerr nonlinearity? 6OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009 What Technologies Are Considered? • We are including an array of advanced technologies (cid:57) Coding (cid:57) Modulation (cid:57) Constellations (cid:57) Electronic signal processing (cid:57) Optical amplification • We will also estimate the impact on capacity of (cid:57)Fiber loss (cid:57)Fiber effective area 7OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009 IInnffoorrmmaattiioonn TThheeoorryy 8OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009 The Birth of Information Theory One paper by C. E. Shannon in two separate issues of the Bell System Technical Journal (1948) Claude E. Shannon (1955) Mathematical theory that calculates the asymptote of the rates that information can be transmitted at an arbitrarily low error rate through an additive noise channel 9OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009 Definition of the Channel A “channel” can be defined as that part of a communication system that we are unable or unwilling to change: Example of a “channel” Pulse Information Source Channel Digital shaper source encoder encoder modulator Waveform channel Output Source Channel Digital Sampler signal decoder decoder demodulator • The “waveform channel” is the part of the channel where the signal assumes a continuous (analog) form • Shannon paid special attention to the additive white Gaussian noise (AWGN) memoryless channel 10OFC Tutorial | March 2009 All Rights Reserved ©Alcatel-Lucent 2009
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