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Titlebook: Linear Systems; Gordon Blower Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Sw

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发表于 2025-3-21 16:39:30 | 显示全部楼层 |阅读模式
书目名称Linear Systems
编辑Gordon Blower
视频video
概述A systematic presentation of modern linear systems theory.Provides a mathematical introduction to wireless communication theory.Integrates the theory with computational methods (MATLAB)
丛书名称Mathematical Engineering
图书封面Titlebook: Linear Systems; Gordon Blower Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Sw
描述.This textbook provides a mathematical introduction to linear systems, with a focus on the continuous-time models that arise in engineering applications such as electrical circuits and signal processing. The book introduces linear systems via block diagrams and the theory of the Laplace transform, using basic complex analysis... ..The book mainly covers linear systems with finite-dimensional state spaces. Graphical methods such as Nyquist plots and Bode plots are presented alongside computational tools such as MATLAB. Multiple-input multiple-output (MIMO) systems, which arise in modern telecommunication devices, are discussed in detail. The book also introduces orthogonal polynomials with important examples in signal processing and wireless communication, such as Telatar’s model for multiple antenna transmission. One of the later chapters introduces infinite-dimensional Hilbert space as a state space, with the canonical model of a linear system. The final chapter covers modern applications to signal processing, Whittaker’s sampling theorem for band-limited functions, and Shannon’s wavelet... ..Based on courses given for many years to upper undergraduate mathematics students, the bo
出版日期Textbook 2022
关键词Feedback Control Theory; Rational Transfer Functions; Mathematics of Wireless Transmission; Laplace Tra
版次1
doihttps://doi.org/10.1007/978-3-031-21240-6
isbn_softcover978-3-031-21242-0
isbn_ebook978-3-031-21240-6Series ISSN 2192-4732 Series E-ISSN 2192-4740
issn_series 2192-4732
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

书目名称Linear Systems影响因子(影响力)




书目名称Linear Systems影响因子(影响力)学科排名




书目名称Linear Systems网络公开度




书目名称Linear Systems网络公开度学科排名




书目名称Linear Systems被引频次




书目名称Linear Systems被引频次学科排名




书目名称Linear Systems年度引用




书目名称Linear Systems年度引用学科排名




书目名称Linear Systems读者反馈




书目名称Linear Systems读者反馈学科排名




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Transfer Functions, Frequency Response, Realization and Stability,e transfer function gives rise to gain and phase, which have intuitive interpretations in signal processing, and which are well illustrated in Nyquist plots. The chapter characterizes bounded-input bounded-output stability in terms of the poles of the transfer function.
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Stability and Transfer Functions via Linear Algebra,erion. There are several results showing how algebraic operations on rational transfer functions can be realized by operations on MIMO systems (., ., ., .), which can be helpful for computation. The discrete Fourier transform is expressed in matricial style.
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Hilbert Spaces,ace is a natural model for various spaces of functions which are used as state spaces for linear systems in signal processing. The chapter gives a brief discussion of the basic properties, introduces the forward and backward shift operators, and presents Beurling’s canonical model of a linear system
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Wireless Transmission and Wavelets,velets lies in the work of Haar and Paley on orthogonal series of functions, and the Haar wavelet was introduced as an orthonormal basis for ..[0, 1] with properties that Paley realized were remarkable. The Haar system was interesting in its own right, and was studied as a model of an orthonormal sy
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