Preface |
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xv | |
Author |
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xix | |
Abbreviations |
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xxi | |
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1 Overview of Optical Fiber Communications and DSP-Based Transmission Systems |
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1 | (24) |
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1 | (2) |
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1.2 From Few Mb/s to Tb/s: Transmission and Receiving for Optical Communications Systems |
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3 | (8) |
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1.2.1 Guiding Lightwaves over the Last 40 Years |
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3 | (5) |
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1.2.2 Guiding Lightwaves: Single Mode, Multimode, and Few Mode |
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8 | (1) |
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1.2.3 Modulation Formats: Intensity to Phase Modulation, Direct to External Modulation |
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8 | (1) |
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1.2.4 Coherent and Incoherent Receiving Techniques |
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9 | (1) |
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1.2.5 Digital Processing in Advanced Optical Communication Systems |
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10 | (1) |
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1.3 Digital Modulation Formats |
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11 | (7) |
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11 | (2) |
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1.3.2 Pulse Shaping and Modulations for High Spectral Efficiency |
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13 | (1) |
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13 | (2) |
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1.3.2.2 Nyquist Pulse Shaping |
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15 | (3) |
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1.4 Optical Demodulation: Phase and Polarization Diversity Technique |
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18 | (5) |
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1.5 Organization of the Book Chapters |
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23 | (2) |
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24 | (1) |
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2 Optical Fibers: Guiding and Propagation Properties |
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25 | (96) |
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2.1 Optical Fibers: Circular Optical Waveguides |
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25 | (17) |
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25 | (1) |
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2.1.2 Optical Fiber: General Properties |
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26 | (1) |
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2.1.2.1 Geometrical Structures and Index Profile |
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26 | (3) |
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2.1.3 Fundamental Mode of Weakly Guiding Fibers |
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29 | (1) |
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2.1.3.1 Solutions of the Wave Equation for Step-Index Fiber |
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30 | (1) |
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2.1.3.2 Single and Few Mode Conditions |
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31 | (5) |
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2.1.3.3 Gaussian Approximation: Fundamental Mode Revisited |
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36 | (2) |
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2.1.3.4 Cut-Off Properties |
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38 | (2) |
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2.1.3.5 Power Distribution |
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40 | (1) |
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2.1.3.6 Approximation of Spot-Size r0 of a Step-Index Fiber |
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41 | (1) |
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2.1.4 Equivalent-Step Index Description |
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41 | (1) |
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2.2 Nonlinear Optical Effects |
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42 | (7) |
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2.2.1 Nonlinear Self-Phase Modulation Effects |
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42 | (1) |
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2.2.2 Self-Phase Modulation |
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43 | (1) |
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2.2.3 Cross-Phase Modulation |
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44 | (1) |
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2.2.4 Stimulated Scattering Effects |
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45 | (1) |
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2.2.4.1 Stimulated Brillouin Scattering |
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46 | (1) |
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2.2.4.2 Stimulated Raman Scattering |
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47 | (1) |
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2.2.4.3 Four-Wave Mixing Effects |
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48 | (1) |
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2.3 Signal Attenuation in Optical Fibers |
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49 | (4) |
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2.3.1 Intrinsic or Material Absorption Losses |
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49 | (1) |
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50 | (2) |
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2.3.3 Attenuation Coefficient |
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52 | (1) |
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2.4 Signal Distortion in Optical Fibers |
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53 | (12) |
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2.4.1 Material Dispersion |
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55 | (3) |
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2.4.2 Waveguide Dispersion |
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58 | (3) |
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2.4.2.1 Alternative Expression for Waveguide Dispersion Parameter |
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61 | (1) |
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2.4.2.2 Higher-Order Dispersion |
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62 | (1) |
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2.4.3 Polarization Mode Dispersion |
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63 | (2) |
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2.5 Transfer Function of Single-Mode Fibers |
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65 | (13) |
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2.5.1 Linear Transfer Function |
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65 | (7) |
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2.5.2 Nonlinear Fiber Transfer Function |
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72 | (5) |
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2.5.3 Transmission Bit Rate and the Dispersion Factor |
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77 | (1) |
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2.6 Fiber Nonlinearity Revisited |
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78 | (9) |
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78 | (2) |
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2.6.2 SPM and Modulation Instability |
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80 | (1) |
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2.6.3 Effects of Mode Hopping |
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81 | (1) |
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2.6.4 SPM and Intra-Channel Nonlinear Effects |
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81 | (5) |
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2.6.5 Nonlinear Phase Noises |
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86 | (1) |
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2.7 Special Dispersion Optical Fibers |
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87 | (1) |
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2.8 SMF Transfer Function: Simplified Linear and Nonlinear Operating Region |
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88 | (7) |
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2.9 Numerical Solution: Split-Step Fourier Method |
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95 | (4) |
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2.9.1 Symmetrical Split-Step Fourier Method |
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95 | (2) |
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2.9.1.1 Modeling of Polarization Mode Dispersion |
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97 | (1) |
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2.9.1.2 Optimization of Symmetrical SSFM |
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98 | (1) |
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2.10 Nonlinear Fiber Transfer Functions and Compensations in Digital Signal Processing |
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99 | (15) |
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2.10.1 Cascades of Linear and Nonlinear Transfer Functions in Time and Frequency Domains |
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101 | (2) |
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2.10.2 Volterra Nonlinear Transfer Function and Electronic Compensation |
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103 | (1) |
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2.10.3 Inverse of Volterra Expansion and Nonlinearity Compensation in Electronic Domain |
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104 | (2) |
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2.10.3.1 Inverse of Volterra Transfer Function |
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106 | (2) |
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2.10.3.2 Electronic Compensation Structure |
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108 | (3) |
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111 | (1) |
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2.10.4 Back-Propagation Techniques for Compensation of Nonlinear Distortion |
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111 | (3) |
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114 | (7) |
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115 | (6) |
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3 External Modulators for Coherent Transmission and Reception |
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121 | (58) |
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121 | (1) |
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3.2 External Modulation and Advanced Modulation Formats |
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122 | (18) |
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3.2.1 Electro-Absorption Modulators |
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122 | (2) |
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3.2.2 Electro-Optic Modulators |
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124 | (1) |
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125 | (1) |
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3.2.2.2 Intensity Modulators |
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125 | (2) |
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3.2.2.3 Phasor Representation and Transfer Characteristics |
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127 | (1) |
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128 | (1) |
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3.2.2.5 Chirp-Free Optical Modulators |
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129 | (1) |
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3.2.2.6 Structures of Photonic Modulators |
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130 | (1) |
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3.2.2.7 Typical Operational Parameters |
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131 | (1) |
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3.2.3 ASK Modulation Formats and Pulse Shaping |
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131 | (1) |
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3.2.3.1 Return-to-Zero Optical Pulses |
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131 | (3) |
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3.2.3.2 Phasor Representation |
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134 | (1) |
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3.2.3.3 Phasor Representation of CSRZ Pulses |
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135 | (1) |
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3.2.3.4 Phasor Representation of RZ33 Pulses |
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136 | (1) |
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3.2.4 Differential Phase Shift Keying |
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137 | (1) |
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137 | (1) |
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3.2.4.2 Optical DPSK Transmitter |
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138 | (2) |
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3.3 Generation of Modulation Formats |
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140 | (11) |
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3.3.1 Amplitude Modulation ASK-NRZ and ASK-RZ |
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140 | (1) |
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3.3.2 Amplitude Modulation Carrier-Suppressed RZ Formats |
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141 | (1) |
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3.3.3 Discrete Phase Modulation NRZ Formats |
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141 | (1) |
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3.3.3.1 Differential Phase Shift Keying |
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141 | (2) |
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3.3.3.2 Differential Quadrature Phase Shift Keying |
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143 | (1) |
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3.3.3.3 Non Return-to-Zero Differential Phase Shift Keying |
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143 | (1) |
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3.3.3.4 Return-to-Zero Differential Phase Shift Keying |
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143 | (1) |
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3.3.3.5 Generation of M-Ary Amplitude Differential Phase Shift Keying (M-Ary ADPSK) Using One MZIM |
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144 | (2) |
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3.3.3.6 Continuous Phase Modulation PM-NRZ Formats |
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146 | (1) |
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3.3.3.7 Linear and Nonlinear MSK |
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147 | (4) |
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3.4 Photonic MSK Transmitter Using Two Cascaded Electro-Optic Phase Modulators |
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151 | (13) |
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3.4.1 Configuration of Optical MSK Transmitter Using Mach--Zehnder Intensity Modulators: I--Q Approach |
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153 | (2) |
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3.4.2 Single-Side Band Optical Modulators |
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155 | (1) |
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156 | (1) |
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3.4.4 Multi-Carrier Multiplexing Optical Modulators |
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156 | (3) |
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3.4.5 Spectra of Modulation Formats |
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159 | (5) |
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3.5 I--Q Integrated Modulators |
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164 | (4) |
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3.5.1 Inphase and Quadrature Phase Optical Modulators |
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164 | (3) |
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3.5.2 IQ Modulator and Electronic Digital Multiplexing for Ultra-High Bit Rates |
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167 | (1) |
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3.6 DAC for DSP-Based Modulation and Transmitter |
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168 | (5) |
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168 | (2) |
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170 | (1) |
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3.6.2.1 Generation of I and Q Components |
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171 | (2) |
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173 | (6) |
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176 | (3) |
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4 Optical Coherent Detection and Processing Systems |
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179 | (76) |
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179 | (2) |
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4.2 Coherent Receiver Components |
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181 | (1) |
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182 | (19) |
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4.3.1 Optical Heterodyne Detection |
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185 | (2) |
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4.3.1.1 ASK Coherent System |
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187 | (2) |
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4.3.1.2 PSK Coherent System |
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189 | (1) |
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4.3.1.3 Differential Detection |
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190 | (1) |
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4.3.1.4 FSK Coherent System |
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191 | (1) |
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4.3.2 Optical Homodyne Detection |
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192 | (1) |
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4.3.2.1 Detection and OPLL |
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193 | (1) |
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4.3.2.2 Quantum Limit Detection |
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194 | (1) |
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4.3.2.3 Linewidth Influences |
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195 | (5) |
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4.3.3 Optical Intradyne Detection |
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200 | (1) |
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4.4 Self-Coherent Detection and Electronic DSP |
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201 | (2) |
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4.5 Electronic Amplifiers: Responses and Noises |
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203 | (5) |
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203 | (2) |
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205 | (1) |
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4.5.2.1 Single Input/Single Output |
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205 | (1) |
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4.5.2.2 Differential Inputs, Single/Differential Output |
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205 | (1) |
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4.5.3 Amplifier Noise Referred to Input |
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206 | (2) |
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4.6 Digital Signal Processing Systems and Coherent Optical Reception |
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208 | (20) |
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4.6.1 DSP-Assisted Coherent Detection |
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208 | (1) |
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4.6.1.1 DSP-Based Reception Systems |
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209 | (2) |
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4.6.2 Coherent Reception Analysis |
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211 | (1) |
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211 | (4) |
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4.6.2.2 Shot-Noise-Limited Receiver Sensitivity |
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215 | (1) |
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4.6.2.3 Receiver Sensitivity under Nonideal Conditions |
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216 | (1) |
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4.6.3 Digital Processing Systems |
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217 | (1) |
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4.6.3.1 Effective Number of Bits |
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218 | (8) |
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4.6.3.2 Impact of ENOB on Transmission Performance |
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226 | (2) |
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4.6.3.3 Digital Processors |
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228 | (1) |
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228 | (3) |
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4.8 Appendix: A Coherent Balanced Receiver and Method for Noise Suppression |
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231 | (24) |
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4.8.1 Analytical Noise Expressions |
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233 | (2) |
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235 | (1) |
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4.8.3 Equivalent Input Noise Current |
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236 | (2) |
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4.8.4 Pole-Zero Pattern and Dynamics |
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238 | (4) |
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4.8.5 Responses and Noise Measurements |
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242 | (1) |
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4.8.5.1 Rise-Time and 3 dB Bandwidth |
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242 | (2) |
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4.8.5.2 Noise Measurement and Suppression |
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244 | (1) |
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4.8.5.3 Requirement for Quantum Limit |
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245 | (1) |
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4.8.5.4 Excess Noise Cancellation Technique |
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246 | (1) |
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4.8.5.5 Excess Noise Measurement |
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247 | (1) |
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248 | (1) |
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249 | (3) |
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252 | (3) |
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255 | (46) |
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5.1 Overview of Optical Phase Lock Loop |
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255 | (3) |
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5.2 Optical Coherent Detection and Optical PLL |
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258 | (16) |
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258 | (1) |
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259 | (1) |
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260 | (1) |
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5.2.1.3 Voltage-Controlled Oscillator |
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261 | (1) |
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5.2.1.4 A Second-Order PLL |
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261 | (2) |
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263 | (2) |
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265 | (1) |
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5.2.3.1 Functional Requirements |
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265 | (1) |
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5.2.3.2 Nonfunctional Requirements |
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265 | (1) |
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266 | (1) |
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5.2.4.1 Fixed-Point Arithmetic |
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266 | (2) |
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268 | (2) |
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270 | (2) |
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5.2.4.4 FPGA Implementation |
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272 | (1) |
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5.2.4.5 Indication of Locking State |
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272 | (1) |
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5.2.4.6 OPLL Hardware Details |
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273 | (1) |
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5.3 Performances: Simulation and Experiments |
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274 | (22) |
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274 | (1) |
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5.3.2 Experiment: Digital Feedback Control |
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275 | (3) |
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278 | (1) |
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5.3.2.2 Quality of Locking State |
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278 | (2) |
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280 | (1) |
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5.3.3 Simulation and Experiment Test Bed: Analog Feedback Control |
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281 | (1) |
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5.3.3.1 Simulation: Analog Feedback Control Loop |
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281 | (7) |
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5.3.3.2 Laser Beating Experiments |
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288 | (1) |
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5.3.3.3 Loop Filter Design |
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289 | (1) |
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5.3.3.4 Closed-Loop Locking of LO and Signal Carrier: Closed-Loop OPLL |
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290 | (1) |
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5.3.3.5 Monitoring of Beat Signals |
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291 | (2) |
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5.3.3.6 High-Resolution Optical Spectrum Analysis |
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293 | (1) |
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5.3.3.7 Phase Error and LPF Time Constant |
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293 | (2) |
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295 | (1) |
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5.4 OPLL for Superchannel Coherent Receiver |
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296 | (2) |
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298 | (3) |
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299 | (2) |
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6 Digital Signal Processing Algorithms and Systems Performance |
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301 | (68) |
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301 | (3) |
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6.2 General Algorithms for Optical Communications Systems |
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304 | (20) |
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6.2.1 Linear Equalization |
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305 | (1) |
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6.2.1.1 Basic Assumptions |
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306 | (1) |
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6.2.1.2 Zero-Forcing Linear Equalization (ZF-LE) |
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307 | (1) |
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6.2.1.3 ZF-LE for Fiber as a Transmission Channel |
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308 | (2) |
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6.2.1.4 Feedback Transversal Filter |
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310 | (1) |
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6.2.1.5 Tolerance of Additive Gaussian Noises |
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310 | (2) |
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6.2.1.6 Equalization with Minimizing MSE in Equalized Signals |
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312 | (2) |
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6.2.1.7 Constant Modulus Algorithm for Blind Equalization and Carrier Phase Recovery |
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314 | (5) |
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6.2.2 Nonlinear Equalizer or DFEs |
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319 | (1) |
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6.2.2.1 DD Cancellation of ISI |
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319 | (2) |
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6.2.2.2 Zero-Forcing Nonlinear Equalization |
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321 | (2) |
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6.2.2.3 Linear and Nonlinear Equalization of a Factorized Channel Response |
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323 | (1) |
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6.2.2.4 Equalization with Minimizing MSE in Equalized Signals |
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324 | (1) |
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324 | (9) |
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325 | (1) |
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6.3.2 Trellis Structure and Viterbi Algorithm |
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326 | (1) |
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6.3.2.1 Trellis Structure |
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326 | (1) |
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6.3.2.2 Viterbi Algorithm |
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327 | (1) |
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6.3.3 Optical Fiber as a Finite State Machine |
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328 | (1) |
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6.3.4 Construction of State Trellis Structure |
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328 | (1) |
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6.3.5 Shared Equalization between Transmitter and Receivers |
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329 | (1) |
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6.3.5.1 Equalizers at the Transmitter |
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329 | (3) |
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6.3.5.2 Shared Equalization |
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332 | (1) |
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6.4 Maximum a Posteriori Technique for Phase Estimation |
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333 | (6) |
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333 | (1) |
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334 | (5) |
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6.5 Carrier Phase Estimation |
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339 | (9) |
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339 | (1) |
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6.5.2 Correction of Phase Noise and Nonlinear Effects |
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340 | (1) |
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6.5.3 Forward Phase Estimation QPSK Optical Coherent Receivers |
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341 | (1) |
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6.5.4 CR in Polarization Division Multiplexed Receivers: A Case Study |
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342 | (1) |
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6.5.4.1 FO Oscillations and Q-Penalties |
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343 | (2) |
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6.5.4.2 Algorithm and Demonstration of Carrier Phase Recovery |
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345 | (3) |
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6.6 Systems Performance of MLSE Equalizer--MSK Optical Transmission Systems |
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348 | (21) |
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6.6.1 MLSE Equalizer for Optical MSK Systems |
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348 | (1) |
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6.6.1.1 Configuration of MLSE Equalizer in Optical Frequency Discrimination Receiver |
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348 | (1) |
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6.6.1.2 MLSE Equalizer with Viterbi Algorithm |
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349 | (2) |
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6.6.1.3 MLSE Equalizer with Reduced-State Template Matching |
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351 | (1) |
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6.6.2 MLSE Scheme Performance |
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351 | (1) |
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6.6.2.1 Performance of MLSE Schemes in 40 Gb/s Transmission Systems |
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351 | (1) |
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6.6.2.2 Transmission of 10 Gb/s Optical MSK Signals over 1472 km SSMF Uncompensated Optical Link |
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352 | (3) |
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6.6.2.3 Performance Limits of Viterbi--MLSE Equalizers |
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355 | (4) |
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6.6.2.4 Viterbi--MLSE Equalizers for PMD Mitigation |
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359 | (5) |
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6.6.2.5 On the Uncertainty and Transmission Limitation of Equalization Process |
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364 | (1) |
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365 | (4) |
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7 DSP-Based Coherent Optical Transmission Systems |
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369 | (40) |
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369 | (2) |
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371 | (10) |
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7.2.1 Carrier Phase Recovery |
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371 | (1) |
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7.2.2 112 G QPSK Coherent Transmission Systems |
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371 | (3) |
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7.2.3 I--Q Imbalance Estimation Results |
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374 | (1) |
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375 | (2) |
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7.2.5 Fractionally Spaced Equalization of CD and PMD |
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377 | (1) |
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7.2.6 Linear and Nonlinear Equalization and Back-Propagation Compensation of Linear and Nonlinear Phase Distortion |
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377 | (4) |
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381 | (4) |
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7.4 Tera-Bits/s Superchannel Transmission Systems |
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385 | (21) |
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385 | (1) |
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7.4.2 Nyquist Pulse and Spectra |
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386 | (2) |
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7.4.3 Superchannel System Requirements |
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388 | (1) |
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389 | (1) |
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7.4.4.1 DSP-Based Coherent Receiver |
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389 | (5) |
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7.4.4.2 Optical Fourier Transform-Based Structure |
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394 | (1) |
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395 | (3) |
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7.4.5 Timing Recovery in Nyquist QAM Channel |
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398 | (1) |
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7.4.6 128 Gb/s 16 QAM Superchannel Transmission |
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399 | (2) |
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7.4.7 450 Gb/s 32 QAM Nyquist Transmission Systems |
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401 | (2) |
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7.4.8 DSP-Based Heterodyne Coherent Reception Systems |
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403 | (3) |
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406 | (3) |
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407 | (2) |
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8 Higher-Order Spectrum Coherent Receivers |
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409 | (50) |
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8.1 Bispectrum Optical Receivers and Nonlinear Photonic Pre-processing |
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|
409 | (10) |
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8.1.1 Introductory Remarks |
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|
409 | (2) |
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|
411 | (1) |
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8.1.3 Bispectrum Coherent Optical Receiver |
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|
412 | (1) |
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8.1.4 Triple Correlation and Bispectra |
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|
412 | (1) |
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|
412 | (1) |
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8.1.4.2 Gaussian Noise Rejection |
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413 | (1) |
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8.1.4.3 Encoding of Phase Information |
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|
413 | (1) |
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8.1.4.4 Eliminating Gaussian Noise |
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|
413 | (1) |
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8.1.5 Transmission and Detection |
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|
414 | (1) |
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8.1.5.1 Optical Transmission Route and Simulation Platform |
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|
414 | (1) |
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8.1.5.2 Four-Wave Mixing and Bispectrum Receiving |
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|
415 | (1) |
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|
415 | (4) |
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8.2 NL Photonic Signal Processing Using Higher-Order Spectra |
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|
419 | (40) |
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8.2.1 Introductory Remarks |
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|
419 | (1) |
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8.2.2 FWM and Photonic Processing |
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|
420 | (1) |
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8.2.2.1 Bispectral Optical Structures |
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420 | (2) |
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8.2.2.2 The Phenomena of FWM |
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|
422 | (2) |
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8.2.3 Third-Order Nonlinearity and Parametric FWM Process |
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|
424 | (1) |
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|
424 | (1) |
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8.2.3.2 FWM Coupled-Wave Equations |
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|
425 | (2) |
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|
427 | (1) |
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8.2.3.4 Coupled Equations and Conversion Efficiency |
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|
427 | (1) |
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8.2.4 Optical Domain Implementation |
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|
428 | (1) |
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|
428 | (1) |
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8.2.4.2 Third-Harmonic Conversion |
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|
429 | (1) |
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8.2.4.3 Conservation of Momentum |
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|
429 | (1) |
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8.2.4.4 Estimate of Optical Power Required for FWM |
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|
429 | (1) |
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8.2.5 Transmission Models and NL Guided Wave Devices |
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|
430 | (1) |
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8.2.6 System Applications of Third-Order Parametric Nonlinearity in Optical Signal Processing |
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|
431 | (1) |
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8.2.6.1 Parametric Amplifiers |
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|
431 | (5) |
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8.2.6.2 Wavelength Conversion and NL Phase Conjugation |
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|
436 | (1) |
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8.2.6.3 High-Speed Optical Switching |
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|
437 | (5) |
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8.2.6.4 Triple Correlation |
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|
442 | (6) |
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|
448 | (1) |
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8.2.7 NL Photonic Pre-Processing in Coherent Reception Systems |
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|
449 | (6) |
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|
455 | (1) |
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|
456 | (3) |
Index |
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459 | |