harmonic analysis


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harmonic analysis

n.
The study of functions given by a Fourier series or analogous representations, such as periodic functions and functions on topological groups.

harmonic analysis

n
1. (Mathematics) the representation of a periodic function by means of the summation and integration of simple trigonometric functions
2. (Mathematics) the study of this means of representation

harmon′ic anal′ysis


n.
the calculation or study of Fourier series and their generalization.
[1865–70]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.harmonic analysis - analysis of a periodic function into a sum of simple sinusoidal components
analysis - a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
References in periodicals archive ?
These close values have proved that the harmonic analysis has been done under the similar conditions.
Expanding a series of 10 lectures he delivered at Iowa State University in June 2018, Jorgensen develops harmonic analysis through both Fourier duality and multiresolution wavelet approaches.
Discrete harmonic analysis is the study of functions on domains possessing richer algebraic structure such as the symmetric group (the group of all permutations), using techniques from representation theory and sperner theory.
The company is said to have further improved the low torque sensitivity and harmonic analysis. This is said to enhance the established capability to estimate long chain branching in the Premier RPA.
Perhaps my biggest concern is the time required to assimilate fully his new system of harmonic analysis. In this, Damschroder is hardly at fault, of course, the problem lying with the potential reader.
The main objective of all the human body harmonic analyses, such as harmonic analysis by Zederbauer and Muftic [1], is to ensure a more accurate and more simplified way to calculate other anthropometric measures, based only on knowing one measured anthropometric measure, which is the most common standing body height h.
One of the advanced techniques of studying the rainfall distributions and variabilities is the harmonic analysis [6].
Chui, "An MRA approach to surface completion and image inpainting," Applied and Computational Harmonic Analysis, vol.
Before the suppression strategy is put forward, it is important to establish an accurate harmonic analysis model which can reflect the harmonic generation mechanism.
A particular important issue in harmonic analysis is to connect the smoothness of a function with the speed of convergence of its diffused version to itself, in the limit as time goes to zero.
Torque harmonic analysis reveals the source of the torque ripple and can provide some suggestions for reducing the torque ripple.
In the 1970s, medical researchers introduced harmonic analysis to convert pressure pulses and flow pulses into numerical Fourier series [16].