Optical Coding Theory with Prime

Fundamental Materials and Tools
Galois Fields
Vector Space
Matrix Theory
Hamming Distance and Weight
Correlation Functions
Cardinality Upper Bound
Markov Chain
Algebraic Tools for Performance Analysis
Summary

Optical Coding Schemes
1-D Temporal Amplitude Coding
1-D Temporal Phase Coding
1-D Spectral Phase Coding
1-D Spectral Amplitude Coding
2-D Spatial-Temporal Amplitude Coding
2-D Spectral-Temporal Amplitude Coding
Three-Dimensional Coding
Multirate and Multiple-QoS Coding
Multicode Keying and Shifted-Code Keying
Enabling Hardware Technologies
Potential Applications
Summary

1-D Asynchronous Prime Codes
Original Prime Codes
Extended Prime Codes
Generalized Prime Codes
2n Prime Codes
Optical Orthogonal Codes
Summary

1-D Synchronous Prime Codes
Synchronous Prime Codes
Synchronous Multilevel Prime Codes
Synchronous Coding Applications
Summary

2-D Asynchronous Prime Codes
Carrier-Hopping Prime Codes
Multilevel Carrier-Hopping Prime Codes
Shifted Carrier-Hopping Prime Codes
Extended Carrier-Hopping Prime Codes
Expanded Carrier-Hopping Prime Codes
Quadratic-Congruence Carrier-Hopping Prime Codes
Prime-Permuted Codes with Unipolar Codes
Prime-Permuted Codes with Bipolar Codes
Quadratic-Congruence-Permuted Codes
2-D Optical Orthogonal Codes
Summary

2-D Synchronous Prime Codes
Synchronous Original, Expanded, and Quadratic-Congruence Carrier-Hopping Prime Codes
Synchronous Multilevel Carrier-Hopping Prime Codes
Synchronous Prime-Permuted Codes
Summary

Multilength Prime Codes
Multilength Carrier-Hopping Prime Codes
Multilength Expanded Carrier-Hopping Prime Codes
Multilength Quadratic-Congruence Carrier-Hopping Prime Codes
2-D Multilength Prime-Permuted Codes
Variable-Weight Coding with Same Bit Power
Multilength 1-D Optical Orthogonal Codes
Summary

3-D Prime Codes
Concatenated Prime Codes
Multicarrier Prime Codes
Summary