Principles of Statistical Radiophysics is a four-volume series that introduces the newcomer to the theory of random functions. It aims at providing the background necessary to understand papers and monographs on the subject and to carry out independant research in fields where fluctuations are of importance, e.g. radiophysics, optics, astronomy, and acoustics. Volume 2, Correlation Theory of Random Processes , presents the correlation theory of nonstationary processes paying particular attention to periodically nonstationary processes. Physical phenomena like interference, coherence and…mehr
Principles of Statistical Radiophysics is a four-volume series that introduces the newcomer to the theory of random functions. It aims at providing the background necessary to understand papers and monographs on the subject and to carry out independant research in fields where fluctuations are of importance, e.g. radiophysics, optics, astronomy, and acoustics. Volume 2, Correlation Theory of Random Processes, presents the correlation theory of nonstationary processes paying particular attention to periodically nonstationary processes. Physical phenomena like interference, coherence and polarisation of random oscillations, thermal noise in discrete dynamical systems, and the spectral representations of random actions on discrete systems are dealt with.
1. 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.
1. 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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