The Winter's Tale

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.