The authors of this book present novel solutions for channel coding using nonlinear sequence generators in order to demonstrate that nonlinear encoders can be designed to provide good performances and to encourage researchers to investigate these approaches further.
Chapter 1 introduces nonlinear digital encoders, and their main applications for telecommunications are presented and discussed. A major problem arising from the use of discrete-time nonlinear systems in telecommunications, namely the sequence synchronization in the receiver part, is also addressed. Chapter 2 is dedicated to the presentation of the Frey nonlinear encoder. It is mathematically described using the modulo-2N operators and the properties of these operators are thoroughly analyzed. Taking advantage of the mathematical development from the previous sections, the Matlab/Simulink simulation block schemes for the Frey digital encoder, decoder, including the dead-beat synchronization method are presented. Chapter 3 presents the Frey encoder from a different perspective, i.e. as a convolutional encoder. Chapter 4 analyzes the parallel turbo trellis-coded modulation (TTCM) schemes including convolutional left circulate (LCIRC) encoders. Finally, the Appendices include demonstrations for the mathematical apparatus used throughout the book and Matlab/Simulink source files used to run the simulations.
This book contains many numerical examples that complete the description of the schemes analyzed making the book accessible to students, especially for Master’s and PhD students in the field.