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Algebraic Shift Register Sequences
About this book
Pseudo-random sequences are essential ingredients of every modern digital communication system including cellular telephones, GPS, secure internet transactions and satellite imagery. Each application requires pseudo-random sequences with specific statistical properties. This book describes the design, mathematical analysis and implementation of pseudo-random sequences, particularly those generated by shift registers and related architectures such as feedback-with-carry shift registers. The earlier chapters may be used as a textbook in an advanced undergraduate mathematics course or a graduate electrical engineering course; the more advanced chapters provide a reference work for researchers in the field. Background material from algebra, beginning with elementary group theory, is provided in an appendix.
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Information
Table of contents
- Cover
- ALGEBRAIC SHIFT REGISTER SEQUENCES
- Title
- Copyright
- Dedication
- Contents
- Figures
- Tables
- Acknowledgements
- 1: Introduction
- Part I: Algebraically defined sequences
- Part II: Pseudo-random and pseudo-noise sequences
- Part III: Register synthesis and security measures
- Part IV: Algebraic background