Beschreibung
Inhaltsangabe1. Fundamentals of Correlation Theory.- 1.1 Complex Random Functions. Analytical Signal.- 1.2 Random Function Behavior and Properties of the Covariance.- 1.3 Spectral Representation of Random Functions.- 1.4 Stationary Random Functions.- 1.5 Examples of Spectral Representations of Stationary Functions.- 1.6 Exercises.- 2. Applications of Correlation Theory.- 2.1 White Noise and Black-Body Radiation.- 2.2 Modulated Random Processes.- 2.3 Spectrum of Oscillations with Fluctuating Frequency.- 2.4 Spectra of Pulse Processes with Independent Intervals.- 2.5 Correlation Theory of Coherence.- 2.6 Nonstationary Interference. Source Correlation.- 2.7 Statistical Properties of Polarization of Modulated Oscillations.- 2.8 Exercises.- 3. Spectral Theory of Random Actions on Dynamic Systems.- 3.1 Random Actions on Harmonic Systems.- 3.2 Random Actions on Memoryless Nonlinear Systems.- 3.3 Noise Measurement. Radiometers.- 3.4 Correlation Theory of Fluctuations in the Thomson Oscillator.- 3.5 Thermal Noise in Quasi-Stationary Networks. The Fluctuation Dissipation Theorem.- 3.6 Exercises.- 4. Certain Kinds of Nonstationary Processes.- 4.1 The Flicker Effect.- 4.2 Random Functions with Stationary Increments. The Structure Function.- 4.3 Spectra of Nonstationary Processes. Quasi-Stationary Processes.- 4.4 Filtration of Nonstationary Processes. The Mean Power Spectrum.- 4.5 Periodically Nonstationary Processes.- 4.6 Exercises.- References.- Errata to Vol. 1.
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Autorenportrait
Inhaltsangabe1. Fundamentals of Correlation Theory.- 1.1 Complex Random Functions. Analytical Signal.- 1.2 Random Function Behavior and Properties of the Covariance.- 1.3 Spectral Representation of Random Functions.- 1.4 Stationary Random Functions.- 1.5 Examples of Spectral Representations of Stationary Functions.- 1.6 Exercises.- 2. Applications of Correlation Theory.- 2.1 White Noise and Black-Body Radiation.- 2.2 Modulated Random Processes.- 2.3 Spectrum of Oscillations with Fluctuating Frequency.- 2.4 Spectra of Pulse Processes with Independent Intervals.- 2.5 Correlation Theory of Coherence.- 2.6 Nonstationary Interference. Source Correlation.- 2.7 Statistical Properties of Polarization of Modulated Oscillations.- 2.8 Exercises.- 3. Spectral Theory of Random Actions on Dynamic Systems.- 3.1 Random Actions on Harmonic Systems.- 3.2 Random Actions on Memoryless Nonlinear Systems.- 3.3 Noise Measurement. Radiometers.- 3.4 Correlation Theory of Fluctuations in the Thomson Oscillator.- 3.5 Thermal Noise in Quasi-Stationary Networks. The Fluctuation Dissipation Theorem.- 3.6 Exercises.- 4. Certain Kinds of Nonstationary Processes.- 4.1 The Flicker Effect.- 4.2 Random Functions with Stationary Increments. The Structure Function.- 4.3 Spectra of Nonstationary Processes. Quasi-Stationary Processes.- 4.4 Filtration of Nonstationary Processes. The Mean Power Spectrum.- 4.5 Periodically Nonstationary Processes.- 4.6 Exercises.- References.- Errata to Vol. 1.
