fourier analysis in English

noun
1
the analysis of a complex waveform expressed as a series of sinusoidal functions, the frequencies of which form a harmonic series.
His theorem, now called the Riesz - Fischer theorem, which he proved in 1907, is fundamental in the Fourier analysis of Hilbert space.

Use "fourier analysis" in a sentence

Below are sample sentences containing the word "fourier analysis" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "fourier analysis", or refer to the context using the word "fourier analysis" in the English Dictionary.

1. With Abelian it is possible to sample, periodize and perform Fourier analysis on elementary LCAs using homomorphisms between groups.

2. A Fourier analysis shows a semidiurnal component with an amplitude of 1 /2 of that of the diurnal component, phase shifted by 180°.

3. Amplitude reproducibility was somewhat higher under steady-state as compared to transient stimulation; we attribute this to the high noise rejection of the Fourier analysis.

4. The process of Blurring or smearing an image, and its inverse (sharpening or unsmearing) is best understood in terms of spatial frequencies. While an exact description requires the use of Fourier analysis, some idea of what's involved can be conveyed through pictures