001452178 000__ 03070cam\a2200493\i\4500 001452178 001__ 1452178 001452178 003__ OCoLC 001452178 005__ 20230310003344.0 001452178 006__ m\\\\\o\\d\\\\\\\\ 001452178 007__ cr\cn\nnnunnun 001452178 008__ 230124s2022\\\\sz\a\\\\ob\\\\001\0\eng\d 001452178 020__ $$a9783031212406$$q(electronic bk.) 001452178 020__ $$a3031212401$$q(electronic bk.) 001452178 020__ $$z9783031212390 001452178 020__ $$z3031212398 001452178 0247_ $$a10.1007/978-3-031-21240-6$$2doi 001452178 035__ $$aSP(OCoLC)1359031808 001452178 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE 001452178 049__ $$aISEA 001452178 050_4 $$aQA402 001452178 08204 $$a003/.74$$223/eng/20230124 001452178 1001_ $$aBlower, G.$$q(Gordon),$$eauthor. 001452178 24510 $$aLinear systems /$$cGordon Blower. 001452178 264_1 $$aCham :$$bSpringer,$$c[2022] 001452178 264_4 $$c©2022 001452178 300__ $$a1 online resource (xiv, 410 pages) :$$billustrations. 001452178 336__ $$atext$$btxt$$2rdacontent 001452178 337__ $$acomputer$$bc$$2rdamedia 001452178 338__ $$aonline resource$$bcr$$2rdacarrier 001452178 4901_ $$aMathematical engineering,$$x2192-4740 001452178 504__ $$aIncludes bibliographical references and index. 001452178 506__ $$aAccess limited to authorized users. 001452178 520__ $$aThis 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. 001452178 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 24, 2023). 001452178 650_0 $$aLinear systems. 001452178 655_0 $$aElectronic books. 001452178 77608 $$iPrint version: $$z3031212398$$z9783031212390$$w(OCoLC)1347695683 001452178 830_0 $$aMathematical engineering.$$x2192-4740 001452178 852__ $$bebk 001452178 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-21240-6$$zOnline Access$$91397441.1 001452178 909CO $$ooai:library.usi.edu:1452178$$pGLOBAL_SET 001452178 980__ $$aBIB 001452178 980__ $$aEBOOK 001452178 982__ $$aEbook 001452178 983__ $$aOnline 001452178 994__ $$a92$$bISE