Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design
116,99 €
inkl. gesetzl. MwSt.Beschreibung
Produktdetails
Format
Kopierschutz
Ja
Family Sharing
Nein
Text-to-Speech
Nein
Erscheinungsdatum
25.07.2005
Verlag
John Wiley & SonsSeitenzahl
230 (Printausgabe)
Dateigröße
10225 KB
Auflage
1. Auflage
Sprache
Englisch
EAN
9780471745426
Discover applications of Fourier analysis on finite non-Abelian
groups
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.
groups
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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