Van Etten Introduction to Random Signals and Noise

1. Auflage 2006
ISBN: 978-0-470-02412-6
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 270 Seiten, E-Book

Random signals and noise are present in many engineering systemsand networks. Signal processing techniques allow engineers todistinguish between useful signals in audio, video orcommunication equipment, and interference, which disturbsthe desired signal.
With a strong mathematical grounding, this text provides a clearintroduction to the fundamentals of stochastic processes and theirpractical applications to random signals and noise. With workedexamples, problems, and detailed appendices, Introduction toRandom Signals and Noise gives the reader the knowledge todesign optimum systems for effectively coping with unwantedsignals.
Key features:
* Considers a wide range of signals and noise, includinganalogue, discrete-time and bandpass signals in both time andfrequency domains.
* Analyses the basics of digital signal detection using matchedfiltering, signal space representation and correlationreceiver.
* Examines optimal filtering methods and their consequences.
* Presents a detailed discussion of the topic of Poissonprocesses and shot noise.
An excellent resource for professional engineers developingcommunication systems, semiconductor devices, and audio and videoequipment, this book is also ideal for senior undergraduate andgraduate students in Electronic and Electrical Engineering.

Autoren/Hrsg.

Van Etten, Wim

Inhaltsverzeichnis

Preface.
1 Introduction.
1.1 Random Signals and Noise.
1.2 Modelling.
1.3 The Concept of a Stochastic Process.
1.4 Summary.
2 Stochastic Processes.
2.1 Stationary Processes.
2.2 Correlation Functions.
2.3 Gaussian Processes.
2.4 Complex Processes.
2.5 Discrete-Time Processes.
2.6 Summary.
2.7 Problems.
3 Spectra of Stochastic Processes.
3.1 The Power Spectrum.
3.2 The Bandwidth of a Stochastic Process.
3.3 The Cross-Power Spectrum.
3.4 Modulation of Stochastic Processes.
3.5 Sampling and Analogue-To-Digital Conversion.
3.6 Spectrum of Discrete-Time Processes.
3.7 Summary.
3.8 Problems.
4. Linear Filtering of Stochastic Processes.
4.1 Basics of Linear Time-Invariant Filtering.
4.2 Time Domain Description of Filtering of StochasticProcesses.
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.
5 Bandpass Processes.
5.1 Description of Deterministic Bandpass Signals.
5.2 Quadrature Components of Bandpass Processes.
5.3 Probability Density Functions of the Envelope and Phase ofBandpass Noise.
5.4 Measurement of Spectra.
5.5 Sampling of Bandpass Processes.
5.6 Summary.
5.7 Problems.
6 Noise in Networks and Systems.
6.1 White and Coloured Noise.
6.2 Thermal Noise in Resistors.
6.3 Thermal Noise in Passive Networks.
6.4 System Noise.
6.5 Summary.
6.6 Problems.
7 Detection and Optimal Filtering.
7.1 Signal Detection.
7.2 Filters that Maximize the Signal-to-Noise Ratio.
7.3 The Correlation Receiver.
7.4 Filters that Minimize the Mean-Squared Error.
7.5 Summary.
7.6 Problems.
8 Poisson Processes and Shot Noise.
8.1 Introduction.
8.2 The Poisson Distribution.
8.3 The Homogeneous Poisson Process.
8.4 Inhomogeneous Poisson Processes.
8.5 The Random-Pulse Process.
8.6 Summary.
8.7 Problems.
References.
Further Reading.
Appendices.
A. Representation of Signals in a Signal Space.
A.1 Linear Vector Spaces.
A.2 The Signal Space Concept.
A.3 Gram-Schmidt Orthogonalization.
A.4 The Representation of Noise in Signal Space.
A.5 Signal Constellations.
A.6 Problems.
B. Attenuation, Phase Shift and Decibels.
C. Mathematical Relations.
C.1 Trigonometric Relations.
C.2 Derivatives.
C.3 Indefinite Integrals.
C.4 Definite Integrals.
C.5 Series.
C.6 Logarithms.
D. Summary of Probability Theory.
E. Definition of a Few Special Functions.
F. The Q(.) and erfc Function.
G. Fourier Transforms.
H. Mathematical and Physical Constants.
Index.

Über Autor(innen)

Wim C. van Etten, University of Twente, Department ofElectrical Engineering, Enschede, Netherlands
Wim Van Etten was appointed as a Full Professor ofTelecommunications at the University of Twente, Enschede, theNetherlands, in 1994, where he heads a group on telecommunicationengineering.
He is author or co-author of over eighty papers in internationaljournals, conferences and symposia and his current interestscomprise of optical communications, mobile communications,communication networks, detection, and simulation of communicationsystems.
He is also past-president of the NERG (Dutch Institute ofElectronic and Radio Engineers) and Chairman of the executivecommittee of the IEEE Benelux joint Chapter on Communications andVehicular Technology.