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Details
Title
Linear systems / Gordon Blower.
Author
Blower, G. (Gordon), author.
ISBN
9783031212406 (electronic bk.)
3031212401 (electronic bk.)
9783031212390
3031212398
3031212401 (electronic bk.)
9783031212390
3031212398
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource (xiv, 410 pages) : illustrations.
Item Number
10.1007/978-3-031-21240-6 doi
Call Number
QA402
Dewey Decimal Classification
003/.74
Summary
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 Telatars 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, Whittakers sampling theorem for band-limited functions, and Shannons wavelet. Based on courses given for many years to upper undergraduate mathematics students, the book provides a systematic, mathematical account of linear systems theory, and as such will also be useful for students and researchers in engineering. The prerequisites are basic linear algebra and complex analysis.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed January 24, 2023).
Series
Mathematical engineering. 2192-4740
Available in Other Form
Print version: 9783031212390
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