Foundations of Signal Processing by Jelena Kovačević, Martin Vetterli and Vivek K. Goyal (2014, Hardcover)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-10110703860X
ISBN-139781107038608
eBay Product ID (ePID)5038850967
Product Key Features
Number of Pages738 Pages
LanguageEnglish
Publication NameFoundations of Signal Processing
SubjectSignals & Signal Processing
Publication Year2014
TypeTextbook
AuthorJelena KovačEvić, Martin Vetterli, Vivek K. Goyal
Subject AreaTechnology & Engineering
FormatHardcover
Dimensions
Item Height1.4 in
Item Weight56.8 Oz
Item Length9.9 in
Item Width7.1 in
Additional Product Features
Intended AudienceCollege Audience
Reviews"A refreshing new approach to teaching the fundamentals of signal processing. Starting from basic concepts in algebra and geometry, [the authors] bring the reader to deep understandings of modern signal processing. Truly a gem!" Rico Malvar, Microsoft Research, "A major book about a serious subject - the combination of engineering and mathematics that goes into modern signal processing. The theory is beautiful and the applications are important and widespread." Gil Strang, Massachusetts Institute of Technology, "Foundations of Signal Processing ... is a pleasure to read. Drawing on the authors' rich experience of research and teaching of signal processing and signal representations, it provides an intellectually cohesive and modern view of the subject from the geometric point of view of vector spaces. Emphasizing Hilbert spaces, where fine technicalities can be relegated to backstage, this textbook strikes an excellent balance between intuition and mathematical rigor, that will appeal to both undergraduate and graduate engineering students. The last two chapters, on sampling and interpolation, and on localization and uncertainty, take full advantage of the machinery developed in the previous chapters to present these two very important topics of modern signal processing, that previously were only found in specialized monographs. The explanations of advanced topics are exceptionally lucid, exposing the reader to the ideas and thought processes behind the results and their derivation. Students will learn ... why things work, at a deep level, which will equip them for independent further reading and research. I look forward to using this text in my own teaching." Yoram Bresler, University of Illinois, Urbana-Champaigns work, at a deep level, which will equip them for independent further reading and research. I look forward to using this text in my own teaching." Yoram Bresler, University of Illinois, Urbana-Champaigns work, at a deep level, which will equip them for independent further reading and research. I look forward to using this text in my own teaching." Yoram Bresler, University of Illinois, Urbana-Champaigns work, at a deep level, which will equip them for independent further reading and research. I look forward to using this text in my own teaching." Yoram Bresler, University of Illinois, Urbana-Champaign, Advance praise: 'A major book about a serious subject - the combination of engineering and mathematics that goes into modern signal processing. The theory is beautiful and the applications are important and widespread.' Gil Strang, Massachusetts Institute of Technology, Advance praise: 'A refreshing new approach to teaching the fundamentals of signal processing. Starting from basic concepts in algebra and geometry, [the authors] bring the reader to deep understandings of modern signal processing. Truly a gem!' Rico Malvar, Microsoft Research, Advance praise: 'A wonderful book that connects together all the elements of modern signal processing … it's all here and seamlessly integrated, along with a summary of history and developments in the field. A real tour-de-force, and a must-have on every signal processor's shelf!' Robert D. Nowak, University of Wisconsin, Madison, "A wonderful book that connects together all the elements of modern signal processing ... it's all here and seamlessly integrated, along with a summary of history and developments in the field. A real tour-de-force, and a must-have on every signal processor's shelf!" Robert D. Nowak, University of Wisconsin, Madison
Dewey Edition23
IllustratedYes
Dewey Decimal621.3822
Table Of Content1. On rainbows and spectra; 2. From Euclid to Hilbert: 2.1 Introduction; 2.2 Vector spaces; 2.3 Hilbert spaces; 2.4 Approximations, projections, and decompositions; 2.5 Bases and frames; 2.6 Computational aspects; 2.A Elements of analysis and topology; 2.B Elements of linear algebra; 2.C Elements of probability; 2.D Basis concepts; Exercises with solutions; Exercises; 3. Sequences and discrete-time systems: 3.1 Introduction; 3.2 Sequences; 3.3 Systems; 3.4 Discrete-time Fourier Transform; 3.5 z-Transform; 3.6 Discrete Fourier Transform; 3.7 Multirate sequences and systems; 3.8 Stochastic processes and systems; 3.9 Computational aspects; 3.A Elements of analysis; 3.B Elements of algebra; Exercises with solutions; Exercises; 4. Functions and continuous-time systems: 4.1 Introduction; 4.2 Functions; 4.3 Systems; 4.4 Fourier Transform; 4.5 Fourier series; 4.6 Stochastic processes and systems; Exercises with solutions; Exercises; 5. Sampling and interpolation: 5.1 Introduction; 5.2 Finite-dimensional vectors; 5.3 Sequences; 5.4 Functions; 5.5 Periodic functions; 5.6 Computational aspects; Exercises with solutions; Exercises; 6. Approximation and compression: 6.1 Introduction; 6.2 Approximation of functions on finite intervals by polynomials; 6.3 Approximation of functions by splines; 6.4 Approximation of functions and sequences by series truncation; 6.5 Compression; 6.6 Computational aspects; Exercises with solutions; Exercises; 7. Localization and uncertainty: 7.1 Introduction; 7.2 Localization for functions; 7.3 Localization for sequences; 7.4 Tiling the time-frequency plane; 7.5 Examples of local Fourier and wavelet bases; 7.6 Recap and a glimpse forward; Exercises with solutions; Exercises.
SynopsisThis comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications. Students are introduced to the powerful foundations of modern signal processing, including the basic geometry of Hilbert space, the mathematics of Fourier transforms, and essentials of sampling, interpolation, approximation and compression The authors discuss real-world issues and hurdles to using these tools, and ways of adapting them to overcome problems of finiteness and localization, the limitations of uncertainty, and computational costs. It includes over 160 homework problems and over 220 worked examples, specifically designed to test and expand students' understanding of the fundamentals of signal processing, and is accompanied by extensive online materials designed to aid learning, including Mathematica(R) resources and interactive demonstrations., This comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications. Students are introduced to the powerful foundations of modern signal processing, including the basic geometry of Hilbert space, the mathematics of Fourier transforms, and essentials of sampling, interpolation, approximation and compression The authors discuss real-world issues and hurdles to using these tools, and ways of adapting them to overcome problems of finiteness and localization, the limitations of uncertainty, and computational costs. It includes over 160 homework problems and over 220 worked examples, specifically designed to test and expand students' understanding of the fundamentals of signal processing, and is accompanied by extensive online materials designed to aid learning, including Mathematica® resources and interactive demonstrations., This comprehensive, accessible textbook covers the basics of signal processing, building up from fundamental principles to practical applications. It uses engineering notation to make mathematical concepts easy to follow, includes numerous homework problems and is accompanied by an extensive Mathematica® companion and instructor solutions manual.
LC Classification NumberTK5102.9 .V479 2014
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