DEFINITION of 'Fourier Analysis'
A type of mathematical analysis that attempts to identify patterns or cycles in a time series data set which has already been normalized. By first removing any effects of trends or other complicating factors from the data set, the effects of periodic cycles or patterns can be identified more accurately, leaving the analyst with a good estimate of the direction that the data under analysis will take in the future. Named after the nineteenthcentury French mathematician and physicist Joseph Fourier.
INVESTOPEDIA EXPLAINS 'Fourier Analysis'
This type of analysis may sound complex, but it actually makes good sense. For example, suppose a manufacturing company wanted to know what stage of its price cycle its main raw material was in. Because inflation would constantly be increasing the dollar price of the commodity over time, an analyst would remove the effects of inflation from the commodity's historical prices first. Once inflation was controlled for, the analyst would then have a much more accurate picture of the price cycles experienced by the commodity.

Business Cycle
The fluctuations in economic activity that an economy experiences ... 
Detrend
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Cyclical Industry
A type of an industry that is sensitive to the business cycle, ... 
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The rate at which the general level of prices for goods and services ... 
Forecasting
The use of historic data to determine the direction of future ... 
Econometrics
The application of statistical and mathematical theories to economics ...

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