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Orthogonal Functions

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Orthogonal Functions In Systems And Control

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Author : Kanti Bhushan Datta
language : en
Publisher: World Scientific
Release Date : 1995

Orthogonal Functions In Systems And Control written by Kanti Bhushan Datta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

This book provides a systematic and unified approach to the analysis, identification and optimal control of continuous-time dynamical systems via orthogonal polynomials such as Legendre, Laguerre, Hermite, Tchebycheff, Jacobi, Gegenbauer, and via orthogonal functions such as sine-cosine, block-pulse, and Walsh. This is the first book devoted to the application of orthogonal polynomials in systems and control, establishing the superiority of orthogonal polynomials to other orthogonal functions.

Orthogonal Functions

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Author : William Jones
language : en
Publisher: CRC Press
Release Date : 2020-12-22

Orthogonal Functions written by William Jones and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Mathematics categories.

"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature."

Orthogonal Functions In Systems And Control

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Author : K B Datta
language : en
Publisher: World Scientific
Release Date : 1995-05-31

Orthogonal Functions In Systems And Control written by K B Datta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-31 with Mathematics categories.

Transmission Of Information By Orthogonal Functions

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Author : Henning F. Harmuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Transmission Of Information By Orthogonal Functions written by Henning F. Harmuth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.

The orthogonality of functions has been exploited in communications since its very beginning. Conscious and 1 extensive use was made of it by KOTEL NIKOV in theoretical work in 1947. Ten years later a considerable number of people were working in this field rather independently. However, little experimental use could be made of the theo retical results before the arrival of solid state opera tional amplifiers and integrated circuits. A theory of communication based on orthogonal functions could ·have been published many years ago. However, the only useful examples of orthogonal functions at that time were sine .... cosine functions and block pulses, and this made the theory appear to be a complicated way to derive known re sults. It was again the advance of semiconductor techno logy that produced the first really new, useful example of orthogonal functions: the little-known Walsh functions. In this book emphasis is placed on the Walsh functions, since ample literature is available on sine-cosine func tions as well as on block pulses and pulses derived from them.

Fourier Series And Orthogonal Functions

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Author : Harry F. Davis
language : en
Publisher: Courier Corporation
Release Date : 2012-09-05

Fourier Series And Orthogonal Functions written by Harry F. Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-05 with Mathematics categories.

This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in physics and engineering, the book requires no prior knowledge of partial differential equations or advanced vector analysis. Students familiar with partial derivatives, multiple integrals, vectors, and elementary differential equations will find the text both accessible and challenging. The first three chapters of the book address linear spaces, orthogonal functions, and the Fourier series. Chapter 4 introduces Legendre polynomials and Bessel functions, and Chapter 5 takes up heat and temperature. The concluding Chapter 6 explores waves and vibrations and harmonic analysis. Several topics not usually found in undergraduate texts are included, among them summability theory, generalized functions, and spherical harmonics. Throughout the text are 570 exercises devised to encourage students to review what has been read and to apply the theory to specific problems. Those preparing for further study in functional analysis, abstract harmonic analysis, and quantum mechanics will find this book especially valuable for the rigorous preparation it provides. Professional engineers, physicists, and mathematicians seeking to extend their mathematical horizons will find it an invaluable reference as well.

Triangular Orthogonal Functions For The Analysis Of Continuous Time Systems

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Author : Anīśa Deba
language : en
Publisher: Anthem Press
Release Date : 2011

Triangular Orthogonal Functions For The Analysis Of Continuous Time Systems written by Anīśa Deba and has been published by Anthem Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

This book deals with a new set of triangular orthogonal functions, which evolved from the set of well known block pulse functions (BPF), a major member of the piecewise constant orthogonal function family (PCOF). Unlike PCOF, providing staircase solutions, this new set of triangular functions provides piecewise linear solution with less mean integral squared error (MISE). After introducing the rich background of PCOF family, which includes Walsh, block pulse and other related functions, fundamentals of the newly proposed set - such as basic properties, function approximation, integral operational metrics, etc. - are presented. This set has been used for integration of functions, analysis and synthesis of dynamic systems and solution of integral equations. The study ends with microprocessor based simulation of SISO control systems using sample-and-hold functions and Dirac delta functions. This book is a source of new knowledge to researchers and academicians in the area of mathematics as well as systems and control.

Fourier Series And Orthogonal Functions

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Author : Harry F. Davis
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01

An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.

A Guide To Empirical Orthogonal Functions For Climate Data Analysis

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Author : Antonio Navarra
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-05

A Guide To Empirical Orthogonal Functions For Climate Data Analysis written by Antonio Navarra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-05 with Science categories.

Climatology and meteorology have basically been a descriptive science until it became possible to use numerical models, but it is crucial to the success of the strategy that the model must be a good representation of the real climate system of the Earth. Models are required to reproduce not only the mean properties of climate, but also its variability and the strong spatial relations between climate variability in geographically diverse regions. Quantitative techniques were developed to explore the climate variability and its relations between different geographical locations. Methods were borrowed from descriptive statistics, where they were developed to analyze variance of related observations-variable pairs, or to identify unknown relations between variables. A Guide to Empirical Orthogonal Functions for Climate Data Analysis uses a different approach, trying to introduce the reader to a practical application of the methods, including data sets from climate simulations and MATLAB codes for the algorithms. All pictures and examples used in the book may be reproduced by using the data sets and the routines available in the book . Though the main thrust of the book is for climatological examples, the treatment is sufficiently general that the discussion is also useful for students and practitioners in other fields. Supplementary datasets are available via http://extra.springer.com

Accurate Least Squares Techniques Using The Orthogonal Function Approach

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Author : Jerry Sullivan
language : en
Publisher:
Release Date : 1980

Accurate Least Squares Techniques Using The Orthogonal Function Approach written by Jerry Sullivan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Functions, Orthogonal categories.

Applications Of Walsh Functions 1970 Proceedings 31 March 1 2 3 April Symposium And Workshop Held At Naval Research Laboratory

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Author : C. A. Bass
language : en
Publisher:
Release Date : 1970

Applications Of Walsh Functions 1970 Proceedings 31 March 1 2 3 April Symposium And Workshop Held At Naval Research Laboratory written by C. A. Bass and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Data transmission systems categories.

Orthogonal Functions

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