Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This textbook is designed for an introductory, one-semester course in Signals and Systems for undergraduates. It is written to be concise, clear, and yet comprehensive to make it easier for the students to learn this important subject with high mathematical complexity. The popular MATLAB® software package is used for programming and simulation. Every new concept is explained with figures and examples for a clear understanding. The simple and clear style of presentation, along with comprehensive coverage, enables students to obtain a solid foundation in the subject and for use in practical applications. Written to be accessible to students of varying backgrounds, using a practical approach; Explains concepts in a clear, concise manner, minimizing mathematical rigor; Includes numerous, solved examples and exercises, as well as programming and simulations using MATLAB®.

Harmonic analysis. Fourier analysis --- Electronics --- Electrical engineering --- Computer. Automation --- Fourieranalyse --- signal processing --- elektrische circuits --- signaalprocessoren --- signaalverwerking --- Fourier transformations.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book provides a coherent, self-contained introduction to central topics of Analytic Partial Differential Equations in the natural geometric setting. The main themes are the analysis in phase-space of analytic PDEs and the Fourier-Bros-Iagolnitzer (FBI) transform of distributions and hyperfunctions, with application to existence and regularity questions. The book begins by establishing the fundamental properties of analytic partial differential equations, starting with the Cauchy-Kovalevskaya theorem, before presenting an integrated overview of the approach to hyperfunctions via analytic functionals, first in Euclidean space and, once the geometric background has been laid out, on analytic manifolds. Further topics include the proof of the Lojaciewicz inequality and the division of distributions by analytic functions, a detailed description of the Frobenius and Nagano foliations, and the Hamilton-Jacobi solutions of involutive systems of eikonal equations. The reader then enters the realm of microlocal analysis, through pseudodifferential calculus, introduced at a basic level, followed by Fourier integral operators, including those with complex phase-functions (à la Sjöstrand). This culminates in an in-depth discussion of the existence and regularity of (distribution or hyperfunction) solutions of analytic differential (and later, pseudodifferential) equations of principal type, exemplifying the usefulness of all the concepts and tools previously introduced. The final three chapters touch on the possible extension of the results to systems of over- (or under-) determined systems of these equations-a cornucopia of open problems. This book provides a unified presentation of a wealth of material that was previously restricted to research articles. In contrast to existing monographs, the approach of the book is analytic rather than algebraic, and tools such as sheaf cohomology, stratification theory of analytic varieties and symplectic geometry are used sparingly and introduced as required. The first half of the book is mainly pedagogical in intent, accessible to advanced graduate students and postdocs, while the second, more specialized part is intended as a reference for researchers.

Algebraic geometry --- Differential geometry. Global analysis --- Harmonic analysis. Fourier analysis --- Differential equations --- Mathematics --- Fourieranalyse --- differentiaalvergelijkingen --- topologie (wiskunde) --- statistiek --- wiskunde --- geometrie --- Differential equations, Partial. --- Equacions en derivades parcials

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book provides a comprehensive introduction to all major topics in digital signal processing (DSP). The book is designed to serve as a textbook for courses offered to undergraduate students enrolled in electrical, electronics, and communication engineering disciplines. The text is augmented with many illustrative examples for easy understanding of the topics covered. Every chapter contains several numerical problems with answers followed by question-and-answer type assignments. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in electrical engineering and related programs. .

Harmonic analysis. Fourier analysis --- Electronics --- Telecommunication technology --- Mass communications --- Computer architecture. Operating systems --- Computer. Automation --- DIP (documentimage processing) --- beeldverwerking --- Fourieranalyse --- signal processing --- tekstverwerking --- computernetwerken --- signaalprocessoren --- communicatietechnologie --- signaalverwerking --- Signal processing --- Digital techniques.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Telecommunication --- Convolutions (Mathematics) --- Fourier transformations --- Mathematics --- -Electric communication --- Convolution transforms --- Transformations, Convolution --- Fourier transformations. --- Convolutions (Mathematics). --- Fourieranalyse --- Harmonic analysis. Fourier analysis --- Mathematics. --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Distribution (Probability theory) --- Functions --- Integrals --- Electric communication --- Mass communication --- Telecom --- Telecommunication industry --- Telecommunications --- Communication --- Information theory --- Telecommuting --- Analyse mathématique --- Mathematical analysis --- Information theory. --- Mathématiques --- Télécommunications --- Telecommunication - Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Fourier transformations --- Transformations de Fourier --- 517.518.4 --- 517.518.5 --- 517.52 --- DSP digitale signaalprocessoren --- FFT fast fourier transforms --- analyse --- convolutie --- correlaties --- elektronica --- elektrotechniek --- filters --- fourieranalyse --- fourierreeksen --- ontwerpen --- software --- wiskunde --- wiskunde voor technici --- FFT --- Fourier --- Wiskunde --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Trigonometric series --- Theory of the Fourier integral --- rijen en reeksen --- Fourier transformations. --- 517.518.5 Theory of the Fourier integral --- 517.518.4 Trigonometric series --- Fourier, Transformations de --- Analyse de fourier --- Fast fourier transform = fft