harmonic analysis

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harmonic analysis

[här′man·ik ə′nal·ə·səs]
(mathematics)
A study of functions by attempting to represent them as infinite series or integrals which involve functions from some particular well-understood family; it subsumes studying a function via its Fourier series.
(physics)
Any method of identifying and evaluating the harmonics that make up a complex waveform of sound pressure, voltage, current, or some other varying quantity.
References in periodicals archive ?
Moellering gives brief definitions of spatial frequencies, neighborhood operators, Fourier theory, fractals, Warntz networks, and polygon operations, to name just a few of the topics.
The authors start with an overview of differential and difference equations and then cover characterization and classification, Fourier theory, distributions and fundamental solutions, approximation by finite differences, the equations of continuum mechanics and electromagnetics and modeling.
He teaches both undergraduate and postgraduate courses on musical acoustics, DSP, and musical applications of Fourier theory and has written over 10 published journal articles, 30 conference papers and the book Wave and Scattering Methods for Numerical Simulation for Wiley, published in 2004.

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