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Stanković, R.S., Moraga, C., Astola, J.T., Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design, Wiley-IEEE Press, 2005,
ISBN-10: 0471694630
ISBN-13: 978-0471694632

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.