Fourier Analysis On Finite Groups PDF (0471694630)

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Science/Engineering Fourier Analysis on Finite Groups

Posted on 2010-04-10

Name:	Science/Engineering Fourier Analysis on Finite Groups
ASIN/ISBN:	0471694630
Language:	English
File size:	12.3 Mb
Publisher:	Wiley-IEEE Press (July 7, 2005)
ISBN:	0471694630
File Type:	PDF
File Size:	12,3 Mb
Pages:	264 pages

Science/Engineering Fourier Analysis on Finite Groups

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Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design by Radomir S. Stankovic, Claudio Moraga, Jaakko Astola

The majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non-Abelian groups provide notable advantages in efficient implementations of spectral methods.

Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis on finite non-Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non-Abelian groups.

A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis. Next, the book examines recent achievements and discoveries in:

* Matrix interpretation of the fast Fourier transform

* Optimization of decision diagrams

* Functional expressions on quaternion groups

* Gibbs derivatives on finite groups

* Linear systems on finite non-Abelian groups

* Hilbert transform on finite groups

Among the highlights is an in-depth coverage of applications of abstract harmonic analysis on finite non-Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self-contained, each with a list of references to facilitate the development of specialized courses or self-study.

With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate-level students and researchers in signal processing, logic design, and system theory-as well as the more general topics of computer science and applied mathematics.

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	Technical Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design
	Science/Engineering Fourier Analysis on Finite Groups&Applications in Signal Processing by Rando Fourier Analysis on Finite Groups with Applications in Signal Processing and System DesignFourier Analysis on Finite Groups with Applications in Signal Processing and System Design by Radomir S. Stankovic, Claudio Moraga, Jaakko AstolaPubli ...
	Fourier Analysis on Finite Abelian Groups Bao Luong, "Fourier Analysis on Finite Abelian Groups"Birkhäuser Boston \| 2009-08-25 \| ISBN: 0817649158 \| 160 pages \| PDF \| 1,5 MBFourier analysis has been the inspiration for a technological wave of advances in fields such as imaging ...
	Technical Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design Discover applications of Fourier analysis on finite non-Abelian groupsThe majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non-Abelian groups provide notable advantages in efficient impl ...
	Technical Finite Groups 2003: Proceedings Of The Gainesville Conference On Finite Groups, March 6 - 12, 2003 Finite Groups 2003: Proceedings Of The Gainesville Conference On Finite Groups, March 6 - 12, 2003 (De Gruyter Proceedings in Mathematics)Publisher: Walter de Gruyter \| ISBN: 3110174472 \| edition 2004 \| PDF \| 417 pages \| 2 mbDuring the Acad ...

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