introduction to random signals and noise

Introduction to Random Signals and Noise

Introduction to Random Signals and Noise: InhaltsangabePreface.< p> < b> 1 Introduction.< /b> < p> 1.1 Random Signals and Noise.< p> 1.2 Modelling.< p> 1.3 The Concept of a Stochastic Process.< p> 1.4 Summary.< p> < b> 2 Stochastic Processes.< /b> < p> 2.1 Stationary Processes.< p> 2.2 Correlation Functions.< p> 2.3 Gaussian Processes.< p> 2.4 Complex Processes.< p> 2.5 Discrete-Time Processes.< p> 2.6 Summary.< p> 2.7 Problems.< p> < b> 3 Spectra of Stochastic Processes.< /b> < p> 3.1 The Power Spectrum.< p> 3.2 The Bandwidth of a Stochastic Process.< p> 3.3 The Cross-Power Spectrum.< p> 3.4 Modulation of Stochastic Processes.< p> 3.5 Sampling and Analogue-To-Digital Conversion.< p> 3.6 Spectrum of Discrete-Time Processes.< p> 3.7 Summary.< p> 3.8 Problems.< p> < b> 4. Linear Filtering of Stochastic Processes.< /b> < p> 4.1 Basics of Linear Time-Invariant Filtering.< p> 4.2 Time Domain Description of Filtering of Stochastic Processes.< p> 4.3 Spectra of the Filter Output.< p> 4.4 Noise Bandwidth.< p> 4.5 Spectrum of a Random Data Signal.< p> 4.6 Principles of Discrete-Time Signals and Systems.< p> 4.7 Discrete-Time Filtering of Random Sequences.< p> 4.8 Summary.< p> 4.9 Problems.< p> < b> 5 Bandpass Processes.< /b> < p> 5.1 Description of Deterministic Bandpass Signals.< p> 5.2 Quadrature Components of Bandpass Processes.< p> 5.3 Probability Density Functions of the Envelope and Phase of Bandpass Noise.< p> 5.4 Measurement of Spectra.< p> 5.5 Sampling of Bandpass Processes.< p> 5.6 Summary.< p> 5.7 Problems.< p> < b> 6 Noise in Networks and Systems.< /b> < p> 6.1 White and Coloured Noise.< p> 6.2 Thermal Noise in Resistors.< p> 6.3 Thermal Noise in Passive Networks.< p> 6.4 System Noise.< p> 6.5 Summary.< p> 6.6 Problems.< p> < b> 7 Detection and Optimal Filtering.< /b> < p> 7.1 Signal Detection.< p> 7.2 Filters that Maximize the Signal-to-Noise Ratio.< p> 7.3 The Correlation Receiver.< p> 7.4 Filters that Minimize the Mean-Squared Error.< p> 7.5 Summary.< p> 7.6 Problems.< p> < b> 8 Poisson Processes and Shot Noise.< /b> < p> 8.1 Introduction.< p> 8.2 The Poisson Distribution.< p> 8.3 The Homogeneous Poisson Process.< p> 8.4 Inhomogeneous Poisson Processes.< p> 8.5 The Random-Pulse Process.< p> 8.6 Summary.< p> 8.7 Problems.< p> References.< p> Further Reading.< p> < b> Appendices.< /b> < p> A. Representation of Signals in a Signal Space.< p> A.1 Linear Vector Spaces.< p> A.2 The Signal Space Concept.< p> A.3 Gram& # Schmidt Orthogonalization.< p> A.4 The Representation of Noise in Signal Space.< p> A.5 Signal Constellations.< p> A.6 Problems.< p> B. Attenuation, Phase Shift and Decibels.< p> C. Mathematical Relations.< p> C.1 Trigonometric Relations.< p> C.2 Derivatives.< p> C.3 Indefinite Integrals.< p> C.4 Definite Integrals.< p> C.5 Series.< p> C.6 Logarithms.< p> D. Summary of Probability Theory.< p> E. Definition of a Few Special Functions.< p> F. The Q(.) and erfc Function.< p> G. Fourier Transforms.< p> H. Mathematical and Physical Constants.< p> Index.

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