Written to be more rigorous than other books on the same topics No other book on the topics explores programming and software in this manner Requires only undergraduate prerequisites

This detail-oriented text is intended for engineers and applied mathematicians who must write computer programs to perform wavelet and related analysis on real data. It contains an overview of mathematical prerequisites and proceeds to describe hands-on programming techniques to implement special programs for signal analysis and other applications. From the table of contents: - Mathematical Preliminaries - Programming Techniques - The Discrete Fourier Transform - Local Trigonometric Transforms - Quadrature Filters - The Discrete Wavelet Transform - Wavelet Packets - The Best Basis Algorithm - Multidimensional Library Trees - Time-Frequency Analysis - Some Applications - Solutions to Some of the Exercises - List of Symbols - Quadrature Filter Coefficients

This detail-oriented text is intended for engineers and applied mathematicians who must write computer programs to perform wavelet and related analysis on real data. It contains an overview of mathematical prerequisites and proceeds to describe hands-on programming techniques to implement special programs for signal analysis and other applications. From the table of contents: - Mathematical Preliminaries - Programming Techniques - The Discrete Fourier Transform - Local Trigonometric Transforms - Quadrature Filters - The Discrete Wavelet Transform - Wavelet Packets - The Best Basis Algorithm - Multidimensional Library Trees - Time-Frequency Analysis - Some Applications - Solutions to Some of the Exercises - List of Symbols - Quadrature Filter Coefficients

This 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.

Replete with exercises, sample programs in Standard C, and numerous illustrations, Mathematics for Multimedia is an ideal textbook for upper undergraduate and beginning graduate students in computer science and mathematics who seek an innovative approach to contemporary mathematics with practical applications. The work may also serve as an invaluable reference for multimedia applications developers and all those interested in the mathematics underlying multimedia design and implementation.

Dieses Buch richtet sich an angewandte Mathematiker, Ingenieure und Naturwissenschaftler, die Computerprogramme zur Wavelet-Analysis (und hierzu verwandter Methoden) in der Signalverarbeitung reeller Daten entwickeln und einsetzen. Dem weniger an Anwendungen interessierten Leser dient das Buch als Einfuhrung in einige wesentliche Aspekte der Wavelet-Theorie; der akademische Lehrer kann es als Textbuch mit einer Darstellung aktuellster mathematischer Techniken in der transienten Signalanalysis einsetzen.Nach einem einfuhrenden Kapitel, das die erforderlichen mathematischen Hilfsmittel darstellt, behandelt der Autor die Eigenschaften von Wellenformen, die in der adaptiven Wavelet-Analysis Anwendung finden: Diskrete schnelle Fourier-Transformationen, orthogonale Funktionen mit uberlappendem Trager. Weitere Kapitel diskutieren die Methode der "besten Basis," die Zeit-Frequenz-Analyse und Kombinationen dieser Algorithmen, die fur die Analyse und Verarbeitung von Signalen, Rauschunterdruckung und Datenkompression nutzlich sind.Jedes Kapitel geht auf die technischen Aspekte der Implementierung der behandelten Algorithmen ein, indem Beispiele von Pseudocodes eingestreut sind.