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Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and... Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations - A Monograph Based on Articles of the Founding Authors, Reproduced in Full (Hardcover, 1st ed. 2015)
Radomir Stankovic, Paul Leo Butzer, Ferenc Schipp, William R. Wade, Weiyi Su, …
R3,054 Discovery Miles 30 540 Ships in 12 - 19 working days

The second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications. Considered are dyadic derivatives on Vilenkin groups and various other Abelian and finite non-Abelian groups. Since some important results were developed in former Soviet Union and China, we provide overviews of former work in these countries. Further, we present translations of three papers that were initially published in Chinese. The presentation continues with chapters written by experts in the area presenting discussions of applications of these results in specific tasks in the area of signal processing and system theory. Efficient computing of related differential operators on contemporary hardware, including graphics processing units, is also considered, which makes the methods and techniques of dyadic analysis and generalizations computationally feasible. The volume 2 of the book ends with a chapter presenting open problems pointed out by several experts in the area.

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations - A Monograph... Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations - A Monograph Based on Articles of the Founding Authors, Reproduced in Full (Hardcover, 1st ed. 2015)
Radomir Stankovic, Paul Leo Butzer, Ferenc Schipp, William R. Wade, Weiyi Su, …
R3,053 R2,276 Discovery Miles 22 760 Save R777 (25%) Ships in 12 - 19 working days

Dyadic (Walsh) analysis emerged as a new research area in applied mathematics and engineering in early seventies within attempts to provide answers to demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals. In the meantime, it evolved in a mature mathematical discipline with fundamental results and important features providing basis for various applications. The book will provide fundamentals of the area through reprinting carefully selected earlier publications followed by overview of recent results concerning particular subjects in the area written by experts, most of them being founders of the field, and some of their followers. In this way, this first volume of the two volume book offers a rather complete coverage of the development of dyadic Walsh analysis, and provides a deep insight into its mathematical foundations necessary for consideration of generalizations and applications that are the subject of the second volume. The presented theory is quite sufficient to be a basis for further research in the subject area as well as to be applied in solving certain new problems or improving existing solutions for tasks in the areas which motivated development of the dyadic analysis.

Spectral Interpretation of Decision Diagrams (Hardcover, 2003 ed.): Radomir Stankovic, Jaakko T. Astola Spectral Interpretation of Decision Diagrams (Hardcover, 2003 ed.)
Radomir Stankovic, Jaakko T. Astola
R3,052 Discovery Miles 30 520 Ships in 10 - 15 working days

Decision diagrams (DDs) are data structures for efficient (time/space) representations of large discrete functions. In addition to their wide application in engineering practice, DDs are now a standard part of many CAD systems for logic design and a basis for severe signal processing algorithms. "Spectral Interpretation of Decision Diagrams" derives from attempts to classify and uniformly interpret DDs through spectral interpretation methods, relating them to different Fourier-series-like functional expressions for discrete functions and a group-theoretic approach to DD optimization. The book examines DDs found in literature and engineering practice and provides insights into relationships between DDs and different polynomial or spectral expressions for representation of discrete functions. In addition, it offers guidelines and criteria for selection of the most suitable representation in terms of space and time complexity. The work complements theory with numerous illustrative examples from practice. Moreover, the importance of DD representations to the verification and testing of arithmetic circuits is addressed, as well as problems related to various signal processing tasks.

Spectral Interpretation of Decision Diagrams (Paperback, Softcover reprint of the original 1st ed. 2003): Radomir Stankovic,... Spectral Interpretation of Decision Diagrams (Paperback, Softcover reprint of the original 1st ed. 2003)
Radomir Stankovic, Jaakko T. Astola
R2,877 Discovery Miles 28 770 Ships in 10 - 15 working days

Anyone who can interpret decision diagrams using the spectral approach can advance both the utility and understanding of classical DD techniques. This approach also provides a framework for developing advanced solutions for digital design and a host of other applications. Scientists, computer science and engineering professionals, and researchers with an interest in the spectral methods of representing discrete functions, as well as the foundations of logic design, will find the book a clearly explained, well-organized, and essential resource.

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