Random signals and noise are present in many engineering systems and networks. Signal processing techniques allow engineers to distinguish between useful signals in audio, video or communication equipment, and interference, which disturbs the desired signal.
With a strong mathematical grounding, this text provides a clear introduction to the fundamentals of stochastic processes and their practical applications to random signals and noise. With worked examples, problems, and detailed appendices, Introduction to Random Signals and Noise gives the reader the knowledge to design optimum systems for effectively coping with unwanted signals.
Considers a wide range of signals and noise, including analogue, discrete-time and bandpass signals in both time and frequency domains.
Analyses the basics of digital signal detection using matched filtering, signal space representation and correlation receiver.
Examines optimal filtering methods and their consequences.
Presents a detailed discussion of the topic of Poisson processes and shot noise.
An excellent resource for professional engineers developing communication systems, semiconductor devices, and audio and video equipment, this book is also ideal for senior undergraduate and graduate students in Electronic and Electrical Engineering.
Table of Contents
- Cover Page
- Title Page
- Chapter 1: Introduction
- Chapter 2: Stochastic Processes
- Chapter 3: Spectra of Stochastic Processes
Chapter 4: Linear Filtering of Stochastic Processes
- 4.1 BASICS OF LINEAR TIME-INVARIANT FILTERING
- 4.2 TIME DOMAIN DESCRIPTION OF FILTERING OF STOCHASTIC PROCESSES
- 4.3 SPECTRA OF THE FILTER OUTPUT
- 4.4 NOISE BANDWIDTH
- 4.5 SPECTRUM OF A RANDOM DATA SIGNAL
- 4.6 PRINCIPLES OF DISCRETE-TIME SIGNALS AND SYSTEMS
- 4.7 DISCRETE-TIME FILTERING OF RANDOM SEQUENCES
- 4.8 SUMMARY
- 4.9 PROBLEMS
- Chapter 5: Bandpass Processes
- Chapter 6: Noise in Networks and Systems
- Chapter 7: Detection and Optimal Filtering
- Chapter 8: Poisson Processes and Shot Noise
- Further Reading
- Appendix A: Representation of Signals in a Signal Space
- Appendix B: Attenuation, Phase Shift and Decibels
- Appendix C: Mathematical Relations
- Appendix D: Summary of Probability Theory
- Appendix E: Definition of a Few Special Functions
- Appendix F: The Q(.) and erfc Functions
- Appendix G: Fourier Transforms
- Appendix H: Mathematical and Physical Constants
- Title: Introduction to Random Signals and Noise
- Release date: September 2005
- Publisher(s): Wiley
- ISBN: 9780470024119