Random Noise

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Random Noise and Vibration in Space Vehicles

Author : Richard H. Lyon
Publisher : Unknown
Page : 80 pages
File Size : 46,6 Mb
Release : 1967
Category : Airplanes
ISBN : UIUC:30112084829545

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Random Noise and Vibration in Space Vehicles by Richard H. Lyon Pdf

White Noise

Author : Don DeLillo
Publisher : Penguin
Page : 324 pages
File Size : 48,8 Mb
Release : 1999-06-01
Category : Fiction
ISBN : 9781440674471

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White Noise by Don DeLillo Pdf

A brilliant satire of mass culture and the numbing effects of technology, White Noise tells the story of Jack Gladney, a teacher of Hitler studies at a liberal arts college in Middle America. Jack and his fourth wife, Babette, bound by their love, fear of death, and four ultramodern offspring, navigate the rocky passages of family life to the background babble of brand-name consumerism. Then a lethal black chemical cloud, unleashed by an industrial accident, floats over there lives, an "airborne toxic event" that is a more urgent and visible version of the white noise engulfing the Gladneys—the radio transmissions, sirens, microwaves, and TV murmurings that constitute the music of American magic and dread.

Introduction to Random Signals and Noise

Author : Wim C. Van Etten
Publisher : John Wiley & Sons
Page : 270 pages
File Size : 47,7 Mb
Release : 2006-02-03
Category : Science
ISBN : 9780470024126

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Introduction to Random Signals and Noise by Wim C. Van Etten Pdf

Random signals and noise are present in many engineering systems and networks. Signal processing techniques allow engineers to distinguish between useful signals in audio, video or communication equipment, and interference, which disturbs the desired signal. With a strong mathematical grounding, this text provides a clear introduction to the fundamentals of stochastic processes and their practical applications to random signals and noise. With worked examples, problems, and detailed appendices, Introduction to Random Signals and Noise gives the reader the knowledge to design optimum systems for effectively coping with unwanted signals. Key features: Considers a wide range of signals and noise, including analogue, discrete-time and bandpass signals in both time and frequency domains. Analyses the basics of digital signal detection using matched filtering, signal space representation and correlation receiver. Examines optimal filtering methods and their consequences. Presents a detailed discussion of the topic of Poisson processes and shot noise. An excellent resource for professional engineers developing communication systems, semiconductor devices, and audio and video equipment, this book is also ideal for senior undergraduate and graduate students in Electronic and Electrical Engineering.

Lectures on White Noise Functionals

Author : Takeyuki Hida,Si Si
Publisher : World Scientific
Page : 281 pages
File Size : 42,6 Mb
Release : 2008
Category : Technology & Engineering
ISBN : 9789812560520

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Lectures on White Noise Functionals by Takeyuki Hida,Si Si Pdf

White noise analysis is an advanced stochastic calculus that has developed extensively since three decades ago. It has two main characteristics. One is the notion of generalized white noise functionals, the introduction of which is oriented by the line of advanced analysis, and they have made much contribution to the fields in science enormously. The other characteristic is that the white noise analysis has an aspect of infinite dimensional harmonic analysis arising from the infinite dimensional rotation group. With the help of this rotation group, the white noise analysis has explored new areas of mathematics and has extended the fields of applications.

Numerical Methods for Stochastic Partial Differential Equations with White Noise

Author : Zhongqiang Zhang,George Em Karniadakis
Publisher : Springer
Page : 394 pages
File Size : 50,5 Mb
Release : 2017-09-01
Category : Mathematics
ISBN : 9783319575117

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Numerical Methods for Stochastic Partial Differential Equations with White Noise by Zhongqiang Zhang,George Em Karniadakis Pdf

This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation. The book begins with some motivational and background material in the introductory chapters and is divided into three parts. Part I covers numerical stochastic ordinary differential equations. Here the authors start with numerical methods for SDEs with delay using the Wong-Zakai approximation and finite difference in time. Part II covers temporal white noise. Here the authors consider SPDEs as PDEs driven by white noise, where discretization of white noise (Brownian motion) leads to PDEs with smooth noise, which can then be treated by numerical methods for PDEs. In this part, recursive algorithms based on Wiener chaos expansion and stochastic collocation methods are presented for linear stochastic advection-diffusion-reaction equations. In addition, stochastic Euler equations are exploited as an application of stochastic collocation methods, where a numerical comparison with other integration methods in random space is made. Part III covers spatial white noise. Here the authors discuss numerical methods for nonlinear elliptic equations as well as other equations with additive noise. Numerical methods for SPDEs with multiplicative noise are also discussed using the Wiener chaos expansion method. In addition, some SPDEs driven by non-Gaussian white noise are discussed and some model reduction methods (based on Wick-Malliavin calculus) are presented for generalized polynomial chaos expansion methods. Powerful techniques are provided for solving stochastic partial differential equations. This book can be considered as self-contained. Necessary background knowledge is presented in the appendices. Basic knowledge of probability theory and stochastic calculus is presented in Appendix A. In Appendix B some semi-analytical methods for SPDEs are presented. In Appendix C an introduction to Gauss quadrature is provided. In Appendix D, all the conclusions which are needed for proofs are presented, and in Appendix E a method to compute the convergence rate empirically is included. In addition, the authors provide a thorough review of the topics, both theoretical and computational exercises in the book with practical discussion of the effectiveness of the methods. Supporting Matlab files are made available to help illustrate some of the concepts further. Bibliographic notes are included at the end of each chapter. This book serves as a reference for graduate students and researchers in the mathematical sciences who would like to understand state-of-the-art numerical methods for stochastic partial differential equations with white noise.

White Noise Distribution Theory

Author : Hui-Hsiung Kuo
Publisher : CRC Press
Page : 400 pages
File Size : 44,6 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9781351404303

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White Noise Distribution Theory by Hui-Hsiung Kuo Pdf

Learn the basics of white noise theory with White Noise Distribution Theory. This book covers the mathematical foundation and key applications of white noise theory without requiring advanced knowledge in this area. This instructive text specifically focuses on relevant application topics such as integral kernel operators, Fourier transforms, Laplacian operators, white noise integration, Feynman integrals, and positive generalized functions. Extremely well-written by one of the field's leading researchers, White Noise Distribution Theory is destined to become the definitive introductory resource on this challenging topic.

Let Us Use White Noise

Author : Hida Takeyuki,Streit Ludwig
Publisher : World Scientific
Page : 232 pages
File Size : 51,7 Mb
Release : 2017-03-10
Category : Mathematics
ISBN : 9789813220959

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Let Us Use White Noise by Hida Takeyuki,Streit Ludwig Pdf

Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by "time". And there is a feature which makes white noise analysis extremely user-friendly. Typically the physicist — and not only he — sits there with some heuristic ansatz, like e.g. the famous Feynman "integral", wondering whether and how this might make sense mathematically. In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer. Feynman's "integral" can now be understood, the "It's all in the vacuum" ansatz of Haag and Coester is now making sense via Dirichlet forms, and so on in many fields of application. There is mathematical finance, there have been applications in biology, and engineering, many more than we could collect in the present volume. Finally, there is one extra benefit: when we internalize the structures of Gaussian white noise analysis we will be ready to meet another close relative. We will enjoy the important similarities and differences which we encounter in the Poisson case, championed in particular by Y Kondratiev and his group. Let us look forward to a companion volume on the uses of Poisson white noise. The present volume is more than a collection of autonomous contributions. The introductory chapter on white noise analysis was made available to the other authors early on for reference and to facilitate conceptual and notational coherence in their work.

Random Signals and Noise

Author : Shlomo Engelberg
Publisher : CRC Press
Page : 216 pages
File Size : 53,5 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781420007770

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Random Signals and Noise by Shlomo Engelberg Pdf

Understanding the nature of random signals and noise is critically important for detecting signals and for reducing and minimizing the effects of noise in applications such as communications and control systems. Outlining a variety of techniques and explaining when and how to use them, Random Signals and Noise: A Mathematical Introduction focuses on applications and practical problem solving rather than probability theory. A Firm Foundation Before launching into the particulars of random signals and noise, the author outlines the elements of probability that are used throughout the book and includes an appendix on the relevant aspects of linear algebra. He offers a careful treatment of Lagrange multipliers and the Fourier transform, as well as the basics of stochastic processes, estimation, matched filtering, the Wiener-Khinchin theorem and its applications, the Schottky and Nyquist formulas, and physical sources of noise. Practical Tools for Modern Problems Along with these traditional topics, the book includes a chapter devoted to spread spectrum techniques. It also demonstrates the use of MATLAB® for solving complicated problems in a short amount of time while still building a sound knowledge of the underlying principles. A self-contained primer for solving real problems, Random Signals and Noise presents a complete set of tools and offers guidance on their effective application.

Transforming Noise

Author : Chen-Pang Yeang
Publisher : Oxford University Press
Page : 497 pages
File Size : 49,9 Mb
Release : 2023-10-30
Category : Electronic
ISBN : 9780198887768

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Transforming Noise by Chen-Pang Yeang Pdf

Today, the concept of noise is employed to characterize random fluctuations in general. Before the twentieth century, however, noise only meant disturbing sounds. In the 1900s-50s, noise underwent a conceptual transformation from unwanted sounds that needed to be domesticated into a synonym for errors and deviations to be now used as all kinds of signals and information. Transforming Noise examines the historical origin of modern attempts to understand, control, and use noise. Its history sheds light on the interactions between physics, mathematics, mechanical technology, electrical engineering, and information and data sciences in the twentieth century. This book explores the process of engineers and physicists turning noise into an informational concept, starting from the rise of sound reproduction technologies such as the phonograph, telephone, and radio in the 1900s-20s until the theory of Brownian motions for random fluctuations and its application in thermionic tubes of telecommunication systems. These processes produced different theoretical treatments of noise in the 1920s-30s, such as statistical physicists' studies of Brownian fluctuations' temporal evolution, radio engineers' spectral analysis of atmospheric disturbances, and mathematicians' measure-theoretic formulation. Finally, it discusses the period during and after World War II and how researchers have worked on military projects of radar, gunfire control, and secret communications and converted the interwar theoretical studies of noise into tools for statistical detection, estimation, prediction, and information transmission. To physicists, mathematicians, electrical engineers, and computer scientists, this book offers a historical perspective on themes highly relevant in today's science and technology, ranging from Wi-Fi and big data to quantum information and self-organization. This book also appeals to environmental and art historians to modern music scholars as the history of noise constitutes a unique angle to study sound and society. Finally, to researchers in media studies and digital cultures, Transforming Noise demonstrates the deep technoscientific historicity of certain notions - information, channel, noise, equivocation - they have invoked to understand modern media and communication.

White Noise Analysis: Mathematics And Applications

Author : Takeyuki Hida,Hui-hsiung Kuo,Ludwig Streit,J Potthoff
Publisher : World Scientific
Page : 438 pages
File Size : 47,6 Mb
Release : 1990-06-30
Category : Electronic
ISBN : 9789814611565

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White Noise Analysis: Mathematics And Applications by Takeyuki Hida,Hui-hsiung Kuo,Ludwig Streit,J Potthoff Pdf

This proceedings contains articles on white noise analysis and related subjects. Applications in various branches of science are also discussed. White noise analysis stems from considering the time derivative of Brownian motion (“white noise”) as the basic ingredient of an infinite dimensional calculus. It provides a powerful mathematical tool for research fields such as stochastic analysis, potential theory in infinite dimensions and quantum field theory.

Wind Farm Noise

Author : Colin H. Hansen,Con J. Doolan,Kristy L. Hansen
Publisher : John Wiley & Sons
Page : 628 pages
File Size : 46,8 Mb
Release : 2017-04-17
Category : Technology & Engineering
ISBN : 9781118826065

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Wind Farm Noise by Colin H. Hansen,Con J. Doolan,Kristy L. Hansen Pdf

A comprehensive guide to wind farm noise prediction, measurement, assessment, control and effects on people Wind Farm Noise covers all aspects associated with the generation, measurement, propagation, regulation and adverse health effects of noise produced by large horizontal-axis wind turbines of the type used in wind farms. The book begins with a brief history of wind turbine development and the regulation of their noise at sensitive receivers. Also included is an introductory chapter on the fundamentals of acoustics relevant to wind turbine noise so that readers are well prepared for understanding later chapters on noise measurements, noise generation mechanisms, noise propagation modelling and the assessment of the noise at surrounding residences. Key features: Potential adverse health effects of wind farm noise are discussed in an objective way. Means for calculating the noise at residences due to a wind farm prior to construction are covered in detail along with uncertainty estimates. The effects of meteorological conditions and other influences, such as obstacles, ground cover and atmospheric absorption, on noise levels at residences are explained. Quantities that should be measured as well as how to best measure them in order to properly characterise wind farm noise are discussed in detail. Noise generation mechanisms and possible means for their control are discussed as well as aspects of wind farm noise that still require further research to be properly understood. The book provides comprehensive coverage of the topic, containing both introductory and advanced level material.

Mathematical Analysis of Random Phenomena

Author : Ana Bela Cruzeiro,Habib Ouerdiane,Nobuaki Obata
Publisher : World Scientific
Page : 241 pages
File Size : 53,9 Mb
Release : 2007
Category : Science
ISBN : 9789812706034

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Mathematical Analysis of Random Phenomena by Ana Bela Cruzeiro,Habib Ouerdiane,Nobuaki Obata Pdf

This volume highlights recent developments of stochastic analysis with a wide spectrum of applications, including stochastic differential equations, stochastic geometry, and nonlinear partial differential equations.While modern stochastic analysis may appear to be an abstract mixture of classical analysis and probability theory, this book shows that, in fact, it can provide versatile tools useful in many areas of applied mathematics where the phenomena being described are random. The geometrical aspects of stochastic analysis, often regarded as the most promising for applications, are specially investigated by various contributors to the volume.

Noise Control

Author : Colin H. Hansen,Kristy L. Hansen
Publisher : CRC Press
Page : 482 pages
File Size : 51,6 Mb
Release : 2021-08-06
Category : Technology & Engineering
ISBN : 9780429768309

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Noise Control by Colin H. Hansen,Kristy L. Hansen Pdf

The second edition of Noise Control: From Concept to Application, newly expanded and thoroughly updated, now includes 180 graded problems with solutions, plus 100 end-of-chapter problems with solutions available for instructors on the authors’ website. Working from basic scientific principles, the authors show how an understanding of sound can be applied to real-world settings, working through numerous examples in detail and covering good practice in noise control for both new and existing facilities. It covers the essential topics for industrial noise control: acoustics, noise criteria, hearing-damage risk, noise-assessment measures, measurement instrumentation, sound-source types including the calculation and measurement of their output power, sound propagation outdoors, sound in rooms, sound-absorbing materials, sound transmission through partitions and enclosures, noise barriers, reactive and dissipative muffler-noise reduction and muffler-design considerations such as pressure loss and self-noise generation. Detailed explanations of important concepts make this textbook easy to understand by engineering and science undergraduates, as well as professionals with no background in acoustics. Authors’ website: www.causalsystems.com Colin H. Hansen is Emeritus Professor in Mechanical Engineering at the University of Adelaide, Australia, and past President of the International Institute of Acoustics and Vibration. Kristy L. Hansen is a Senior Lecturer in Mechanical Engineering at Flinders University, Australia, and holder of the Australian Research Council’s Discovery Early Career Researcher Award.

Engineering Noise Control

Author : David A. Bies,Colin H. Hansen
Publisher : CRC Press
Page : 843 pages
File Size : 52,6 Mb
Release : 2017-12-21
Category : Technology & Engineering
ISBN : 9781351989985

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Engineering Noise Control by David A. Bies,Colin H. Hansen Pdf

The practice of engineering noise control demands a solid understanding of the fundamentals of acoustics, the practical application of current noise control technology and the underlying theoretical concepts. This fully revised and updated fourth edition provides a comprehensive explanation of these key areas clearly, yet without oversimplification. Written by experts in their field, the practical focus echoes advances in the discipline, reflected in the fourth edition’s new material, including: completely updated coverage of sound transmission loss, mufflers and exhaust stack directivity a new chapter on practical numerical acoustics thorough explanation of the latest instruments for measurements and analysis. Essential reading for advanced students or those already well versed in the art and science of noise control, this distinctive text can be used to solve real world problems encountered by noise and vibration consultants as well as engineers and occupational hygienists.