Algorithms for Discrete Fourier Transform and Convolution

Richard Tolimieri

ISBN 10: 0387982612 / ISBN 13: 9780387982618

Verlag: Springer New York, Springer US, 1997

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - This book is based on several courses taught during the years 1985-1989 at the City College of the City University of New York and at Fudan Univer sity, Shanghai, China, in the summer of 1986. It was originally our intention to present to a mixed audience of electrical engineers, mathematicians and computer scientists at the graduate level a collection of algorithms that would serve to represent the vast array of algorithms designed over the last twenty years for computing the finite Fourier transform (FFT) and finite convolution. However, it was soon apparent that the scope of the course had to be greatly expanded. For researchers interested in the design of new algorithms, a deeper understanding of the basic mathematical concepts underlying algorithm design was essential. At the same time, a large gap remained between the statement of an algorithm and the implementation of the algorithm. The main goal of this text is to describe tools that can serve both of these needs. In fact, it is our belief that certain mathematical ideas provide a natural language and culture for understanding, unifying and implementing a wide range of digital signal processing (DSP) algo rithms. This belief is reinforced by the complex and time-consuming effort required to write code for recently available parallel and vector machines. A significant part of this text is devoted to establishing rules and procedures that reduce and at times automate this task.

Bestandsnummer des Verkäufers 9780387982618

Bibliografische Details

• Titel: Algorithms for Discrete Fourier Transform and Convolution
• Verlag: Springer New York, Springer US
• Erscheinungsjahr: 1997
• Sprache: Englisch
• ISBN-10: 0387982612
• ISBN-13: 9780387982618
• Einband: Buch
• Auflage: 2. Auflage
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

This graduate-level text provides a language for understanding, unifying, and implementing a wide variety of algorithms for digital signal processing - in particular, to provide rules and procedures that can simplify or even automate the task of writing code for the newest parallel and vector machines. It thus bridges the gap between digital signal processing algorithms and their implementation on a variety of computing platforms. The mathematical concept of tensor product is a recurring theme throughout the book, since these formulations highlight the data flow, which is especially important on supercomputers. Because of their importance in many applications, much of the discussion centres on algorithms related to the finite Fourier transform and to multiplicative FFT algorithms.