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This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations. It is in part a sequel of authors recent work on almost periodic stochastic difference and differential equations and has the particularity to be the first book that is entirely devoted to almost periodic random processes and their applications. The topics treated in it range from existence, uniqueness, and stability of solutions for abstract stochastic difference and differential equations.
Book Synopsis Almost Periodic Stochastic Processes by : Paul H. Bezandry
Download or read book Almost Periodic Stochastic Processes written by Paul H. Bezandry and published by Springer Science & Business Media. This book was released on 2011-04-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations. It is in part a sequel of authors recent work on almost periodic stochastic difference and differential equations and has the particularity to be the first book that is entirely devoted to almost periodic random processes and their applications. The topics treated in it range from existence, uniqueness, and stability of solutions for abstract stochastic difference and differential equations.
Book Synopsis Almost-periodic, Stochastic Process of Long-range Climatic Changes by :
Download or read book Almost-periodic, Stochastic Process of Long-range Climatic Changes written by and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Almost-periodic, Stochastic Process of Long-range Climatic Changes by : William Q. Quin
Download or read book Almost-periodic, Stochastic Process of Long-range Climatic Changes written by William Q. Quin and published by . This book was released on 1974 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Almost-periodic, Stochastic Process of Long-term Climatic Changes by : William Q. Chin
Download or read book Almost-periodic, Stochastic Process of Long-term Climatic Changes written by William Q. Chin and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Almost-periodic, Stochastic Process of Long-range Climate Changes by : William Q. Chin
Download or read book Almost-periodic, Stochastic Process of Long-range Climate Changes written by William Q. Chin and published by . This book was released on 1974 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Almost-periodic, Stochastic Process of Long-term Climatic Changes by : Albert G. Law
Download or read book Almost-periodic, Stochastic Process of Long-term Climatic Changes written by Albert G. Law and published by . This book was released on 1974 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Information, Weight of Evidence. The Singularity Between Probability Measures and Signal Detection by : I.J. Good
Download or read book Information, Weight of Evidence. The Singularity Between Probability Measures and Signal Detection written by I.J. Good and published by Springer. This book was released on 1974-04-29 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
"A mathematical procedure for quantitative evaluation of long-term climatic changes as an almost-periodic stochastic process is described"--Abstract.
Book Synopsis Almost-periodic, Stochastic Process of Long-range Climatic Changes by : William Q. Chin
Download or read book Almost-periodic, Stochastic Process of Long-range Climatic Changes written by William Q. Chin and published by Environment Canada. This book was released on 1974 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A mathematical procedure for quantitative evaluation of long-term climatic changes as an almost-periodic stochastic process is described"--Abstract.
The relative motion between the transmitter and the receiver modifies the nonstationarity properties of the transmitted signal. In particular, the almost-cyclostationarity property exhibited by almost all modulated signals adopted in communications, radar, sonar, and telemetry can be transformed into more general kinds of nonstationarity. A proper statistical characterization of the received signal allows for the design of signal processing algorithms for detection, estimation, and classification that significantly outperform algorithms based on classical descriptions of signals.Generalizations of Cyclostationary Signal Processing addresses these issues and includes the following key features: Presents the underlying theoretical framework, accompanied by details of their practical application, for the mathematical models of generalized almost-cyclostationary processes and spectrally correlated processes; two classes of signals finding growing importance in areas such as mobile communications, radar and sonar. Explains second- and higher-order characterization of nonstationary stochastic processes in time and frequency domains. Discusses continuous- and discrete-time estimators of statistical functions of generalized almost-cyclostationary processes and spectrally correlated processes. Provides analysis of mean-square consistency and asymptotic Normality of statistical function estimators. Offers extensive analysis of Doppler channels owing to the relative motion between transmitter and receiver and/or surrounding scatterers. Performs signal analysis using both the classical stochastic-process approach and the functional approach, where statistical functions are built starting from a single function of time.
Book Synopsis Generalizations of Cyclostationary Signal Processing by : Antonio Napolitano
Download or read book Generalizations of Cyclostationary Signal Processing written by Antonio Napolitano and published by John Wiley & Sons. This book was released on 2012-12-07 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relative motion between the transmitter and the receiver modifies the nonstationarity properties of the transmitted signal. In particular, the almost-cyclostationarity property exhibited by almost all modulated signals adopted in communications, radar, sonar, and telemetry can be transformed into more general kinds of nonstationarity. A proper statistical characterization of the received signal allows for the design of signal processing algorithms for detection, estimation, and classification that significantly outperform algorithms based on classical descriptions of signals.Generalizations of Cyclostationary Signal Processing addresses these issues and includes the following key features: Presents the underlying theoretical framework, accompanied by details of their practical application, for the mathematical models of generalized almost-cyclostationary processes and spectrally correlated processes; two classes of signals finding growing importance in areas such as mobile communications, radar and sonar. Explains second- and higher-order characterization of nonstationary stochastic processes in time and frequency domains. Discusses continuous- and discrete-time estimators of statistical functions of generalized almost-cyclostationary processes and spectrally correlated processes. Provides analysis of mean-square consistency and asymptotic Normality of statistical function estimators. Offers extensive analysis of Doppler channels owing to the relative motion between transmitter and receiver and/or surrounding scatterers. Performs signal analysis using both the classical stochastic-process approach and the functional approach, where statistical functions are built starting from a single function of time.
This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory—a unified view of continuous and discrete analysis—has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains. As a new and exciting type of mathematics—and more comprehensive and versatile than the traditional theories of differential and difference equations—, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences. Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.
Book Synopsis Combined Measure and Shift Invariance Theory of Time Scales and Applications by : Chao Wang
Download or read book Combined Measure and Shift Invariance Theory of Time Scales and Applications written by Chao Wang and published by Springer Nature. This book was released on 2022-09-22 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory—a unified view of continuous and discrete analysis—has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains. As a new and exciting type of mathematics—and more comprehensive and versatile than the traditional theories of differential and difference equations—, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences. Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.
