Nonstationary Stochastic Processes And Their Applications - Proceedings Of The Workshop
Nonstationary Stochastic Processes And Their Applications - Proceedings Of The Workshop

Author: Abolghassem G Miamee

Publisher: World Scientific

Published: 1992-08-08

Total Pages: 298

ISBN-13: 9814554502

DOWNLOAD EBOOK

The purpose of the workshop was to bring together researchers working in a broad spectrum of nonstationary stochastic processes to present their findings and techniques for analyzing the growing field of nonstationary stochastic processes. Researchers from both engineering and mathematics communities shared their sometimes different, but complementing, point of views on the recent developments in the theory and applications of nonstationary stochastic processes. As such, this volume will be of interest to mathematicians, probabilists, and engineers, and it is hoped that this will stimulate a significant amount of research in this field.

Current Topics In Nonstationary Analysis - Proceedings Of The Second Workshop On Nonstationary Random Processes And Their Applications
Current Topics In Nonstationary Analysis - Proceedings Of The Second Workshop On Nonstationary Random Processes And Their Applications

Author: George Trevino

Publisher: World Scientific

Published: 1996-08-30

Total Pages: 202

ISBN-13: 9814547697

DOWNLOAD EBOOK

Nonstationarity is another name for intermittency, a phenomenon which affects many physical processes. Data collected in many R&D programs frequently exhibit nonstationary features, and problems inherent in the analysis of such data are profound. The premier objective of these proceedings is to consolidate recent developments in nonstationary analysis. A second objective is to delineate open problems. A by-product will hopefully be a bridging of the gap between related governmental needs, and the present-day research capabilities of both academics and non-academics alike.

Cyclostationary Processes and Time Series
Cyclostationary Processes and Time Series

Author: Antonio Napolitano

Publisher: Academic Press

Published: 2019-10-24

Total Pages: 628

ISBN-13: 0081027370

DOWNLOAD EBOOK

Many processes in nature arise from the interaction of periodic phenomena with random phenomena. The results are processes that are not periodic, but whose statistical functions are periodic functions of time. These processes are called cyclostationary and are an appropriate mathematical model for signals encountered in many fields including communications, radar, sonar, telemetry, acoustics, mechanics, econometrics, astronomy, and biology. Cyclostationary Processes and Time Series: Theory, Applications, and Generalizations addresses these issues and includes the following key features. - Presents the foundations and developments of the second- and higher-order theory of cyclostationary signals - Performs signal analysis using both the classical stochastic process approach and the functional approach for time series - Provides applications in signal detection and estimation, filtering, parameter estimation, source location, modulation format classification, and biological signal characterization - Includes algorithms for cyclic spectral analysis along with Matlab/Octave code - Provides generalizations of the classical cyclostationary model in order to account for relative motion between transmitter and receiver and describe irregular statistical cyclicity in the data

Hilbert And Banach Space-valued Stochastic Processes
Hilbert And Banach Space-valued Stochastic Processes

Author: Yuichiro Kakihara

Publisher: World Scientific

Published: 2021-07-29

Total Pages: 539

ISBN-13: 9811211760

DOWNLOAD EBOOK

This is a development of the book entitled Multidimensional Second Order Stochastic Processes. It provides a research expository treatment of infinite-dimensional stationary and nonstationary stochastic processes or time series, based on Hilbert and Banach space-valued second order random variables. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral representations of various classes of nonstationary processes such as harmonizable, V-bounded, Cramér and Karhunen classes as well as the stationary class. A new type of the Radon-Nikodým derivative of a Banach space-valued measure is introduced, together with Schauder basic measures, to study uniformly bounded linearly stationary processes.Emphasis is on the use of functional analysis and harmonic analysis as well as probability theory. Applications are made from the probabilistic and statistical points of view to prediction problems, Kalman filter, sampling theorems and strong laws of large numbers. Generalizations are made to consider Banach space-valued stochastic processes to include processes of pth order for p ≥ 1. Readers may find that the covariance kernel is always emphasized and reveals another aspect of stochastic processes.This book is intended not only for probabilists and statisticians, but also for functional analysts and communication engineers.

Multidimensional Second Order Stochastic Processes
Multidimensional Second Order Stochastic Processes

Author: Yuichiro Kakihara

Publisher: World Scientific

Published: 1997-02-27

Total Pages: 343

ISBN-13: 9814497894

DOWNLOAD EBOOK

This book provides a research-expository treatment of infinite-dimensional nonstationary stochastic processes or time series. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral representations of various classes of nonstationary processes such as harmonizable, V-bounded, Cramér and Karhunen classes and also the stationary class. Emphasis is on the use of functional, harmonic analysis as well as probability theory. Applications are made from the probabilistic and statistical points of view to prediction problems, Kalman filter, sampling theorems and strong laws of large numbers. Readers may find that the covariance kernel analysis is emphasized and it reveals another aspect of stochastic processes. This book is intended not only for probabilists and statisticians, but also for communication engineers.

Advances in Imaging and Electron Physics
Advances in Imaging and Electron Physics

Author: Peter W. Hawkes

Publisher: Elsevier

Published: 2003-05-20

Total Pages: 475

ISBN-13: 0080490069

DOWNLOAD EBOOK

Image processing and a major contribution on microscopy dominate the latest volume of these advances. This volume looks at theory and it's application in a practical sense, with a full account of the methods used and realistic detailed application. The authors do this by examining the latest developments, historic illustrations and mathematical fundamentals of the exciting developments in imaging and applying them to realistic practical situations.Addressing and solving daily issues faced by researchers, consultants and engineers working in this field, makes this book essential reading*Emphasizes broad and in depth article collaborations between world-renowned scientists in the field of image and electron physics*Emphasises theory and it's application in a practical sense*Provides the FIRST full statement of a radical new approach to 'phase calibration' and the solution of this important and difficult problem, pioneered by A, Lannes