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 ?
Also, possible deviations of the real body segment ratios have been analysed in relation to theoretical values shown in Table 2 which were calculated using the harmonic analysis by Zederbaur and Muftic.
We have used the total monthly average precipitation for the harmonic analysis.
In order to verify the correctness of the harmonic analysis model, a SPVSC model is set up in MATLAB/Simulink.
Wang, "Development of a standard protocol for the harmonic analysis of radial pulse wave and assessing its reliability in healthy humans," IEEE Journal of Translational engineering in health and medicine, vol.
Fefferman, Kenig and Pipher showed, using techniques from harmonic analysis, that the smallness condition is not necessary.
Furthermore oscillatory integrals have been an essential part of harmonic analysis. Many important operators in harmonic analysis are some versions of oscillatory integrals, such as the Fourier transform, Bochner-Riesz means, and Radon transform.
Power quality analyzers address applications such as voltage and current transient studies, fault recording, inrush, motor testing, harmonic analysis, distortion analysis, and demand/energy/load studies.
The bottom section is the harmonic analysis section, it consists of data acquisition, filter M atlab, FFT and Spectrum.
Han, "Symmetric tight framelet filter banks with three high-pass filters," Applied and Computational Harmonic Analysis, vol.
The author writes the process of transposition step-by-step starting first by identifying the key, harmonizing the melody using diatonic chords, analyzing the notes of the melodic line in relation to the chords, and using roman numerals and jazz symbols for the harmonic analysis. Since the song uses diatonic melody and harmony, the author easily explains the principals of transposition.