Fourier analysis
1
9.0
- noun
- /ˈfʊr.i.eɪ əˈnæl.ɪ.sɪs/
- Specialized
:
análisis de Fourier
- By applying Fourier analysis, we can break down complex sounds into their simple sinusoidal parts.
Examples
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The 2485-year record is long enough to permit Fourier analysis on the first half, replicate the temperature record of the second half, and forecast a temperature decline from 2006 to 2068.
Blog text (30) -
The high-frequency response is then calculated by Fourier analysis of the velocity component along the high-frequency electric field.
Academic text (1994) -
And the point of doing Fourier analysis is you want to reveal the objects that you are looking for are basically frequencies, right?
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Verifying this claim is an exercise in Fourier analysis.
Academic text (2012) -
By Fourier analysis, one can rewrite this sum as an integral.
Blog text (26) -
Traditional Fourier analysis assumes that the signal continues indefinitely.
Academic text (2018) -
After two-dimensional Fourier analysis, a ramp filter (15 dB/octave) was used.
Academic text (1997) -
Fourier analysis yields a map, whose intrinsic artifacts are removed by applying image-cleaning algorithms borrowed from radio astronomers.
Academic text (2003) -
To characterize oscillations in dynamic body movement, elements of power spectral density and frequency were also calculated for each second of acceleration data using Fourier analysis, using methodology laid out in 25.
Academic text (2018) -
To simplify the comparisons, she used elliptic Fourier analysis, a mathematical technique, to assign quantitative values to the digitized leaf shapes.
Academic text (1996)
Synonyms
A way to write a repeating shape or wave as a sum of sine and cosine waves
To break a repeating sound or signal into simple waves like sine and cosine
A way to change a list of numbers into the frequencies that make them
Surface Forms
Morphology
Although 'analysis' is a general word meaning examination, 'Fourier' is a proper name (an eponym) that carries no transparent semantic cue for a B1 learner. The specific technical sense—decomposing functions into sines and cosines—is specialized domain knowledge and cannot be derived from the constituent words alone, so prior subject knowledge is required.
Etymology
The term Fourier analysis comes from the idea of breaking a complex sound or signal into many simple waves, like taking a noisy chord and finding each single note. So, when people use Fourier analysis, they mean 'to break a signal into its simple wave parts'.