Fourier analysis

Noun

Meaning

analysis of a periodic function into a sum of simple sinusoidal components

Synonyms

Hypernyms

Examples

Fourier analysis involves expanding periodic functions on the unit circle in terms of a series of these harmonics. Source: Internet

The 17-year-old Fermi chose to derive and solve the partial differential equation for a vibrating rod, applying Fourier analysis in the solution. Source: Internet

It is effectively realizable for pre-recorded digital signals by assuming extensions of zero into the past and future, or more typically by making the signal repetitive and using Fourier analysis. Source: Internet

Simple harmonic motion provides a basis for the characterization of more complicated motions through the techniques of Fourier analysis. Source: Internet

Evans 1998, Th. 6.2.1 Fourier analysis main The heat equation describes the dissipation of physical properties over time, such as the decline of the temperature of a hot body placed in a colder environment (yellow depicts colder regions than red). Source: Internet

Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa. Source: Internet

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