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Describes the leading techniques for analyzing noise. Discusses methods that are applicable to periodic signals,aperiodic signals, or random processes over finite or infiniteintervals. Provides readers with a useful reference when designing ormodeling communications systems.
This is a unique approach to noise theory and its application to physical measurements that will find its place among the graduate course books. In a very systematic way, the foundations are laid and applied in a way that the book will also be useful to those not focusing on optics. Exercises and solutions help students to deepen their knowledge.
Research and scientific progress are based upqn intuition coordinated with a wide theoretical knowledge, experimental skill, and a realistic sense of the limitations of technology. Only a deep insight into physical phenomena will supply the necessary skills to handle the problems that arise in acoustics. The acoustician today needs to be well acquainted with mathematics, dynamics, hydrodynamics, and physics; he also needs a good knowledge of statistics, signal processing, electrical theory, and of many other specialized subjects. Acquiring this background is a laborious task and would require the study of many different books. It is the goal of this volume to present this background in as thorough and readable a manner as possible so that the reader may turn to specialized publications or chapters of other books for further information without having to start at the preliminaries. In trying to accomplish this goal, mathematics serves only as a tool; the better our understanding of a physical phenomenon, the less mathematics is needed and the shorter and more concise are our computa tions. A word about the choice of subjects for this volume will be helpful to the reader. Even scientists of high standing are frequently not acquainted with the fundamentals needed in the field of acoustics. Chapters I to IX are devoted to these fundamentals. After studying Chapter I, which dis cusses the units and their relationships, the reader should have no difficulty converting from one system of units to any other.
This book should be of interest to undergraduate and postgraduate students of probability theory.
Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.
Since the publication of the first edition, miniaturization and nanotechnology have become inextricably linked to traditional surface geometry and metrology. This interdependence of scales has had profound practical implications.Updated and expanded to reflect many new developments, Handbook of Surface and Nanometrology, Second Edition determines h
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.