Applications of Walsh and Related Functions, with an Introduction to Sequency Theory PDF Download

Author: K. G. Beauchamp
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 332

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Author:
Publisher:
ISBN:
Category : Electronics
Languages : en
Pages : 300

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Author: W. Schwarzacher
Publisher: Elsevier
ISBN: 0080869661
Category : Science
Languages : en
Pages : 239

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Cyclostratigraphy is concerned primarily with measuring geological time and the time units used in this approach are sedimentary cycles. Milankovitch cycles mark time intervals of tens of thousands to several millions of years. Such cycles are the result of variations in the Earth's position in relation to the Sun and these in turn determine the climatic variations. The Milankovitch theory was resurrected in the 1960's when evidence from Pleistocene deep sea sediments linked orbital variations and climate.This monograph discusses sedimentary cycles and their use in measuring geologic time. There is considerable effort made to clarify the term "sedimentary cycle", in particular, the two opposing concepts of cyclic stratification and event stratification. The recognition of sedimentary cycles and of Milankovitch cycles specifically, is considered and care is taken with the question of relating sediment thickness to time. Several examples from the Carboniferous to the Cretaceous are given to show how cyclostratigraphy can be applied to current geological problems. This volume should be of interest to geologists involved with stratigraphical analysis and basin analysis.

Author: Radomir S. Stankovic
Publisher: John Wiley & Sons
ISBN: 0471745421
Category : Science
Languages : en
Pages : 230

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Discover applications of Fourier analysis on finite non-Abeliangroups The majority of publications in spectral techniques considerFourier transform on Abelian groups. However, non-Abelian groupsprovide notable advantages in efficient implementations of spectralmethods. Fourier Analysis on Finite Groups with Applications in SignalProcessing and System Design examines aspects of Fourieranalysis on finite non-Abelian groups and discusses differentmethods used to determine compact representations for discretefunctions providing for their efficient realizations and relatedapplications. Switching functions are included as an example ofdiscrete functions in engineering practice. Additionally,consideration is given to the polynomial expressions and decisiondiagrams defined in terms of Fourier transform on finitenon-Abelian groups. A solid foundation of this complex topic is provided bybeginning with a review of signals and their mathematical modelsand Fourier analysis. Next, the book examines recent achievementsand discoveries in: Matrix interpretation of the fast Fourier transform Optimization of decision diagrams Functional expressions on quaternion groups Gibbs derivatives on finite groups Linear systems on finite non-Abelian groups Hilbert transform on finite groups Among the highlights is an in-depth coverage of applications ofabstract harmonic analysis on finite non-Abelian groups in compactrepresentations of discrete functions and related tasks in signalprocessing and system design, including logic design. All chaptersare self-contained, each with a list of references to facilitatethe development of specialized courses or self-study. With nearly 100 illustrative figures and fifty tables, this isan excellent textbook for graduate-level students and researchersin signal processing, logic design, and system theory-as well asthe more general topics of computer science and appliedmathematics.

Author: C. A. Bass
Publisher:
ISBN:
Category : Data transmission systems
Languages : en
Pages : 292

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Author:
Publisher:
ISBN:
Category : Data transmission systems
Languages : en
Pages : 292

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Author: Mark G. Karpovsky
Publisher: John Wiley & Sons
ISBN: 047028921X
Category : Computers
Languages : en
Pages : 642

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Spectral techniques facilitate the design and testing of today's increasingly complex digital devices There is heightened interest in spectral techniques for the design of digital devices dictated by ever increasing demands on technology that often cannot be met by classical approaches. Spectral methods provide a uniform and consistent theoretic environment for recent achievements in this area, which appear divergent in many other approaches. Spectral Logic and Its Applications for the Design of Digital Devices gives readers a foundation for further exploration of abstract harmonic analysis over finite groups in the analysis, design, and testing of digital devices. After an introduction, this book provides the essential mathematical background for discussing spectral methods. It then delves into spectral logic and its applications, covering: * Walsh, Haar, arithmetic transform, Reed-Muller transform for binary-valued functions and Vilenkin-Chrestenson transform, generalized Haar, and other related transforms for multiple-valued functions * Polynomial expressions and decision diagram representations for switching and multiple-value functions * Spectral analysis of Boolean functions * Spectral synthesis and optimization of combinational and sequential devices * Spectral methods in analysis and synthesis of reliable devices * Spectral techniques for testing computer hardware This is the authoritative reference for computer science and engineering professionals and researchers with an interest in spectral methods of representing discrete functions and related applications in the design and testing of digital devices. It is also an excellent text for graduate students in courses covering spectral logic and its applications.

Author: Anish Deb
Publisher: CRC Press
ISBN: 135183133X
Category : Mathematics
Languages : en
Pages : 302

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A Totally Different Outlook on Power Electronic System Analysis Power Electronic Systems: Walsh Analysis with MATLAB® builds a case for Walsh analysis as a powerful tool in the study of power electronic systems. It considers the application of Walsh functions in analyzing power electronic systems, and the advantages offered by Walsh domain analysis of power electronic systems. Solves Power Electronic Systems in an Unconventional Way This book successfully integrates power electronics as well as systems and control. Incorporating a complete orthonormal function set very much unlike the sine–cosine functions, it introduces a blending between piecewise constant orthogonal functions and power electronic systems. It explores the background and evolution of power electronics, and discusses Walsh and related orthogonal basis functions. It develops the mathematical foundation of Walsh analysis, and first- and second-order system analyses by Walsh technique. It also describes the Walsh domain operational method and how it is applied to linear system analysis. Introduces Theories Step by Step While presenting the underlying principles of Walsh analysis, the authors incorporate many illustrative examples, and include a basic introduction to linear algebra and MATLAB® programs. They also examine different orthogonal piecewise constant basis functions like Haar, Walsh, slant, block pulse functions, and other related orthogonal functions along with their time scale evolution. • Analyzes pulse–fed single input single output (SISO) first- and second-order systems • Considers stepwise and continuously pulse width modulated chopper systems • Describes a detailed analysis of controlled rectifier circuits • Addresses inverter circuits Power Electronic Systems: Walsh Analysis with MATLAB® is written for postgraduate students, researchers, and academicians in the area of power electronics as well as systems and control.

Author: Svetlana N. Yanushkevich
Publisher: CRC Press
ISBN: 1420037587
Category : Technology & Engineering
Languages : en
Pages : 952

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Decision diagram (DD) techniques are very popular in the electronic design automation (EDA) of integrated circuits, and for good reason. They can accurately simulate logic design, can show where to make reductions in complexity, and can be easily modified to model different scenarios. Presenting DD techniques from an applied perspective, Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook provides a comprehensive, up-to-date collection of DD techniques. Experts with more than forty years of combined experience in both industrial and academic settings demonstrate how to apply the techniques to full advantage with more than 400 examples and illustrations. Beginning with the fundamental theory, data structures, and logic underlying DD techniques, they explore a breadth of topics from arithmetic and word-level representations to spectral techniques and event-driven analysis. The book also includes abundant references to more detailed information and additional applications. Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook collects the theory, methods, and practical knowledge necessary to design more advanced circuits and places it at your fingertips in a single, concise reference.

Author: Maode Ma
Publisher: Springer Nature
ISBN: 9819726360
Category :
Languages : en
Pages : 210

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