Scrambling Techniques for Digital Transmission

I Preliminaries.- 1 Digital Transmission and Scrambling.- 2 Fundamentals of Scrambling Techniques.- II Frame Synchronous Scrambling.- 3 Introduction to Frame Synchronous Scrambling.- 4 Sequence Spaces.- 5 Shift Register Generators.- 6 Serial Frame Synchronous Scrambling.- 7 Parallel Frame Synchronous Scrambling.- 8 Multibit-Parallel Frame Synchronous Scrambling.- 9 Applications to Scrambling in SDH/SONET Transmission.- III Distributed Sample Scrambling.- 10 Introduction to Distributed Sample Scrambling.- 11 Prediction of Scrambling Sequences.- 12 Serial Distributed Sample Scrambling.- 13 Parallel Distributed Sample Scrambling.- 14 Multibit-Parallel Distributed Sample Scrambling.- 15 Three-State Synchronization Mechanism under Sample Errors.- 16 Applications to Cell-Based ATM and High-Speed Data Networks.- IV Self Synchronous Scrambling.- 17 Introduction to Self Synchronous Scrambling.- 18 Serial Self Synchronous Scrambling.- 19 Parallel Self Synchronous Scrambling.- 20 Applications to Scrambling in SDH-Based ATM Transmission.- 21 Signal-Alignment with Parallel Self Synchronous Scrambling.- Appendices.- A Facts from Abstract Algebra.- A.1 Field.- A.2 Extension of Fields.- A.3 Irreducible Polynomials.- A.4 Primitive Polynomials.- A.5 Others.- B Facts from Linear Algebra.- B.1 Vector Space.- B.2 Minimal Polynomials of Matrices.- B.3 Properties of Companion Matrix.- B.4 Similarity of Matrices.- References.