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Linear Systems, Signal Processing and Hypercomplex Analysis

Author : Daniel Alpay
Publisher : Springer
Page : 316 pages
File Size : 21,48 MB
Release : 2019-08-08
Category : Mathematics
ISBN : 3030184846

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This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.

Linear Systems and Signals: A Primer

Author : JC Olivier
Publisher : Artech House
Page : 304 pages
File Size : 33,31 MB
Release : 2018-11-30
Category : Technology & Engineering
ISBN : 1630816159

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This new resource covers a wide range of content by focusing on theorems and examples to explain key concepts of signals and linear systems theory in fewer than 300 pages. Readers will learn how to compute the impulse response of an electronic circuit, design a filter in the presence of colored noise, and use the Z transform to design a digital filter. The book covers transform theory and statespace analysis and design. Stochastic systems and signals, a topic that has become important recently with the advent of renewable energy, is also presented. The Ergodic theorem is discussed in detail, with specific, real world examples of its application to renewable power and energy systems as well as signal processing systems. The book also provides a self-contained introduction to the theory of probability. Written for the practicing engineer and the student new to the subject, this comprehensive guide includes links to literature and online resources for the reader who wants additional information. In addition to numerous worked examples, this primer includes MATLAB® source code to assist readers with their projects in the field.

Signal Processing and Linear Systems

Author : Bhagwandas Pannalal Lathi
Publisher : Oxford University Press, USA
Page : 872 pages
File Size : 33,19 MB
Release : 1998
Category : Mathematics
ISBN :

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This text presents a comprehensive treatment of signal processing and linear systems suitable for juniors and seniors in electrical engineering. It is based on Lathi's widely used book, Linear Systems and Signals, with additional applications to communications, controls, and filtering as well as new chapters on analog and digital filters and digital signal processing. This volume's organization is different from the earlier book. Here, the Laplace transform follows Fourier, rather than the reverse; continuous-time and discrete-time systems are treated sequentially, rather than interwoven. Additionally, the text contains enough material in discrete-time systems to be used not only for a traditional course in signals and systems but also for an introductory course in digital signal processing. In Signal Processing and Linear Systems, as in all his books, Lathi emphasizes the physical appreciation of concepts rather than the mere mathematical manipulation of symbols. Avoiding the tendency to treat engineering as a branch of applied mathematics, he uses mathematics not so much to prove an axiomatic theory as to enhance physical and intuitive understanding of concepts. Wherever possible, theoretical results are supported by carefully chosen examples and analogies, allowing students to intuitively discover meaning for themselves. An accompanying solutions manual is available on CD-ROM.

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

Author : Daniel Alpay
Publisher : Springer Nature
Page : 389 pages
File Size : 20,80 MB
Release : 2022-01-01
Category : Mathematics
ISBN : 3030764737

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This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. Signal processing constitutes a strong presence in several of the papers.A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.

Linear Systems

Author : Thomas Kailath
Publisher :
Page : 682 pages
File Size : 42,79 MB
Release : 2016
Category : Linear systems
ISBN : 9789332575363

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"A self-contained, highly motivated and comprehensive account of basic methods for analysis and application of linear systems that arise in signal processing problems in communications, control, system identification and digital filtering. Develops and exploits the structure of finite-dimensional linear systems; unifies state-space and transfer-function analysis; carefully develops and uses interrelations with state-space descriptions to illuminate both approaches; avoids the development of purely mathematical topics - all mathematical results are used in some significant systems problem; keeps the proofs as simple and direct as possible." --Descripción del editor.

Differential Equations, Mathematical Modeling and Computational Algorithms

Author : Vladimir Vasilyev
Publisher : Springer Nature
Page : 294 pages
File Size : 21,52 MB
Release : 2023-06-06
Category : Mathematics
ISBN : 3031285050

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This book contains reports made at the International Conference on Differential Equations, Mathematical Modeling and Computational Algorithms, held in Belgorod, Russia, in October 2021 and is devoted to various aspects of the theory of differential equations and their applications in various branches of science. Theoretical papers devoted to the qualitative analysis of emerging mathematical objects, theorems of the existence and uniqueness of solutions to the boundary value problems under study are presented, and numerical algorithms for their solution are described. Some issues of mathematical modeling are also covered; in particular, in problems of economics, computational aspects of the theory of differential equations and boundary value problems are studied. The articles are written by well-known experts and are interesting and useful to a wide audience: mathematicians, representatives of applied sciences and students and postgraduates of universities engaged in applied mathematics.

Signal Processing

Author : Charles L. Byrne
Publisher : CRC Press
Page : 441 pages
File Size : 27,57 MB
Release : 2014-11-12
Category : Computers
ISBN : 1482241846

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Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics—including familiarity with Fourier series, matrices, probability, and statistics—this Second Edition: Contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters Expands the material on Fourier analysis to three new chapters to provide additional background information Presents real-world examples of applications that demonstrate how mathematics is used in remote sensing Featuring problems for use in the classroom or practice, Signal Processing: A Mathematical Approach, Second Edition covers topics such as Fourier series and transforms in one and several variables; applications to acoustic and electro-magnetic propagation models, transmission and emission tomography, and image reconstruction; sampling and the limited data problem; matrix methods, singular value decomposition, and data compression; optimization techniques in signal and image reconstruction from projections; autocorrelations and power spectra; high-resolution methods; detection and optimal filtering; and eigenvector-based methods for array processing and statistical filtering, time-frequency analysis, and wavelets.

From Classical Analysis to Analysis on Fractals

Author : Patricia Alonso Ruiz
Publisher : Springer Nature
Page : 294 pages
File Size : 43,62 MB
Release : 2023-11-25
Category : Mathematics
ISBN : 3031378008

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Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.

Advances in Computer Graphics

Author : Bin Sheng
Publisher : Springer Nature
Page : 409 pages
File Size : 29,50 MB
Release : 2024-01-24
Category : Computers
ISBN : 3031500784

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This 4-volume set of LNCS 14495-14498 constitutes the proceedings of the 40th Computer Graphics International Conference, CGI 2023, held in Shanghai, China, August 28 – September 1, 2023. The 149 papers in this set were carefully reviewed and selected from 385 submissions. They are organized in topical sections as follows: Detection and Recognition; Image Analysis and Processing; Image Restoration and Enhancement; Image Attention and Perception; Reconstruction; Rendering and Animation; Synthesis and Generation; Visual Analytics and Modeling; Graphics and AR/VR; Medical Imaging and Robotics; Theoretical Analysis; Image Analysis and Visualization in Advanced Medical Imaging Technology; Empowering Novel Geometric Algebra for Graphics and Engineering.