Choose an application

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

Robert Engle received the Nobel Prize for Economics in 2003 for his work in time series econometrics. This book contains 16 original research contributions by some the leading academic researchers in the fields of time series econometrics, forecasting, volatility modelling, financial econometrics and urban economics, along with historical perspectives related to field of time series econometrics more generally. Engle's Nobel Prize citation focuses on his path-breaking work on autoregressive conditional heteroskedasticity (ARCH) and the profound effect that this work has had on the field of fin

Econometrics. --- Time-series analysis. --- Analysis of time series --- Autocorrelation (Statistics) --- Harmonic analysis --- Mathematical statistics --- Probabilities --- Economics, Mathematical --- Statistics

Choose an application

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

When designing high-performance DSP systems for implementation with silicon-based computing technology, the oft-encountered problem of the real-data DFT is typically addressed by exploiting an existing complex-data FFT, which can easily result in an overly complex and resource-hungry solution. The research described in The Regularized Fast Hartley Transform: Optimal Formulation of Real-Data Fast Fourier Transform for Silicon-Based Implementation in Resource-Constrained Environments deals with the problem by exploiting directly the real-valued nature of the data and is targeted at those real-world applications, such as mobile communications, where size and power constraints play key roles in the design and implementation of an optimal solution. The Regularized Fast Hartley Transform provides the reader with the tools necessary to both understand the proposed new formulation and to implement simple design variations that offer clear implementational advantages, both practical and theoretical, over more conventional complex-data solutions to the problem. The highly-parallel formulation described is shown to lead to scalable and device-independent solutions to the latency-constrained version of the problem which are able to optimize the use of the available silicon resources, and thus to maximize the achievable computational density, thereby making the solution a genuine advance in the design and implementation of high-performance parallel FFT algorithms.

Harmonic analysis. Fourier analysis --- Mathematics --- Electrical engineering --- Applied physical engineering --- Mass communications --- Computer architecture. Operating systems --- Computer. Automation --- Fourieranalyse --- toegepaste wiskunde --- computers --- economie --- informatica --- wiskunde --- computernetwerken --- elektrotechniek --- communicatietechnologie

Choose an application

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

This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power.   The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book.   Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics.  

Algebra --- Functional analysis --- Harmonic analysis. Fourier analysis --- Mathematical analysis --- Mathematics --- Computer science --- Computer. Automation --- Fourieranalyse --- algebra --- analyse (wiskunde) --- functies (wiskunde) --- computers --- informatica --- wiskunde --- informaticaonderzoek

Choose an application

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

This concise textbook presents the mathematics that is foundational to multimedia applications. Featuring a rigorous survey of selected results from algebra and analysis, the work examines tools used to create application software for multimedia signal processing and communication. Key features include: * Over 100 exercises with complete solutions; * Useful algorithms presented in pseudocode and Standard C to help readers with programming, experimentation, and the solution of exercises; * Numerous illustrations based on data from real studies; * Suggestions for further reading at the end of each chapter; * A companion website—maintained by the author—providing computer programs described in the book as well as additional references and data files, such as images and sounds, to enhance the reader’s understanding of key topics; * A supplementary manual—containing several hundred exercises, solutions, and sample programs not included in the book—available to instructors upon request; * Minimal prerequisites—only an undergraduate-level knowledge of mathematics, not including statistics, is required. Mathematics for Multimedia is an ideal textbook for upper undergraduate and beginning graduate students in pure and applied mathematics, engineering, and computer science seeking an innovative approach to contemporary mathematics with practical applications. The work may also serve as a useful reference for multimedia applications developers and other researchers and practitioners interested in the mathematics underlying multimedia software design and implementation.

Harmonic analysis. Fourier analysis --- Mathematical control systems --- Mathematics --- Applied physical engineering --- Computer science --- Computer architecture. Operating systems --- Computer. Automation --- Fourieranalyse --- toegepaste wiskunde --- bedrijfssoftware --- economie --- informatica --- multimedia --- wiskunde --- algoritmen

Choose an application

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

The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.

Algebraic geometry --- Operator theory --- Functional analysis --- Harmonic analysis. Fourier analysis --- Mathematical analysis --- analyse (wiskunde) --- complexe veranderlijken --- Fourierreeksen --- functies (wiskunde) --- mathematische modellen --- wiskunde