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 ?
2] --, Abstract harmonic analysis and the sampling theorem, Sampling theory in Fourier and signal analysis: Advanced topics (J.
Kluvanek, Sampling theorem in abstract harmonic analysis, Mat.
Spectral Logic and Its Applications for the Design of Digital Devices gives readers a foundation for further exploration of abstract harmonic analysis over finite groups in the analysis, design, and testing of digital devices.