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A Signal Theoretic Introduction to Random Processes
About this book
A fresh introduction to random processes utilizing signal theory
By incorporating a signal theory basis, A Signal Theoretic Introduction to Random Processes presents a unique introduction to random processes with an emphasis on the important random phenomena encountered in the electronic and communications engineering field. The strong mathematical and signal theory basis provides clarity and precision in the statement of results. The book also features:
- A coherent account of the mathematical fundamentals and signal theory that underpin the presented material
- Unique, in-depth coverage of material not typically found in introductory books
- Emphasis on modeling and notation that facilitates development of random process theory
- Coverage of the prototypical random phenomena encountered in electrical engineering
- Detailed proofs of results
- A related website with solutions to the problems found at the end of each chapter
A Signal Theoretic Introduction to Random Processes is a useful textbook for upper-undergraduate and graduate-level courses in applied mathematics as well as electrical and communications engineering departments. The book is also an excellent reference for research engineers and scientists who need to characterize random phenomena in their research.
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Information
Table of contents
- COVER
- TITLE PAGE
- TABLE OF CONTENTS
- ABOUT THE AUTHOR
- PREFACE
- 1 A SIGNAL THEORETIC INTRODUCTION TO RANDOM PROCESSES
- 2 BACKGROUND: MATHEMATICS
- 3 BACKGROUND
- 4 BACKGROUND: PROBABILITY AND RANDOM VARIABLE THEORY
- 5 INTRODUCTION TO RANDOM PROCESSES
- 6 PROTOTYPICAL RANDOM PROCESSES
- 7 CHARACTERIZING RANDOM PROCESSES
- 8 PMF AND PDF EVOLUTION
- 9 THE AUTOCORRELATION FUNCTION
- 10 POWER SPECTRAL DENSITY THEORY
- 11 ORDER STATISTICS
- 12 POISSON POINT RANDOM PROCESSES
- 13 BIRTH–DEATH RANDOM PROCESSES
- 14 THE FIRST PASSAGE TIME
- REFERENCE MATERIAL
- REFERENCES
- INDEX
- END USER LICENSE AGREEMENT
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