Fourier Analysis


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 nineteenth-century French mathematician and physicist Joseph Fourier.

BREAKING DOWN '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.

  1. Inflation

    The rate at which the general level of prices for goods and services ...
  2. Business Cycle

    The fluctuations in economic activity that an economy experiences ...
  3. Detrend

    In forecasting models, the process of removing the effects of ...
  4. Econometrics

    The application of statistical and mathematical theories to economics ...
  5. Cyclical Industry

    A type of an industry that is sensitive to the business cycle, ...
  6. Forecasting

    The use of historic data to determine the direction of future ...
Related Articles
  1. Active Trading Fundamentals

    Capitalizing On Seasonal Effects

    We show you how to take advantage of periodic trends in the equity markets.
  2. Active Trading

    Market Cycles: The Key To Maximum Returns

    You need to understand the various phases of the market cycle to avoid bubbles and make the best investments.
  3. Active Trading Fundamentals

    DMI Points The Way To Profits

    The directional movement index tells you whether to go long, short or stand aside.
  4. Investing

    What a Family Tradition Taught Me About Investing

    We share some lessons from friends and family on saving money and planning for retirement.
  5. Investing

    Where the Price is Right for Dividends

    There are two broad schools of thought for equity income investing: The first pays the highest dividend yields and the second focuses on healthy yields.
  6. Personal Finance

    How Tech Can Help with 3 Behavioral Finance Biases

    Even if you’re a finance or statistics expert, you’re not immune to common decision-making mistakes that can negatively impact your finances.
  7. Investing Basics

    5 Tips For Diversifying Your Portfolio

    A diversified portfolio will protect you in a tough market. Get some solid tips here!
  8. Entrepreneurship

    Identifying And Managing Business Risks

    There are a lot of risks associated with running a business, but there are an equal number of ways to prepare for and manage them.
  9. Forex Education

    Explaining Uncovered Interest Rate Parity

    Uncovered interest rate parity is when the difference in interest rates between two nations is equal to the expected change in exchange rates.
  10. Fundamental Analysis

    Using Decision Trees In Finance

    A decision tree provides a comprehensive framework to review the alternative scenarios and consequences a decision may lead to.
  1. Is Colombia an emerging market economy?

    Colombia meets the criteria of an emerging market economy. The South American country has a much lower gross domestic product, ... Read Full Answer >>
  2. What assumptions are made when conducting a t-test?

    The common assumptions made when doing a t-test include those regarding the scale of measurement, random sampling, normality ... Read Full Answer >>
  3. What is the utility function and how is it calculated?

    In economics, utility function is an important concept that measures preferences over a set of goods and services. Utility ... Read Full Answer >>
  4. What are some of the more common types of regressions investors can use?

    The most common types of regression an investor can use are linear regressions and multiple linear regressions. Regressions ... Read Full Answer >>
  5. What types of assets lower portfolio variance?

    Assets that have a negative correlation with each other reduce portfolio variance. Variance is one measure of the volatility ... Read Full Answer >>
  6. When is it better to use systematic over simple random sampling?

    Under simple random sampling, a sample of items is chosen randomly from a population, and each item has an equal probability ... Read Full Answer >>

You May Also Like

Hot Definitions
  1. Take A Bath

    A slang term referring to the situation of an investor who has experienced a large loss from an investment or speculative ...
  2. Black Friday

    1. A day of stock market catastrophe. Originally, September 24, 1869, was deemed Black Friday. The crash was sparked by gold ...
  3. Turkey

    Slang for an investment that yields disappointing results or turns out worse than expected. Failed business deals, securities ...
  4. Barefoot Pilgrim

    A slang term for an unsophisticated investor who loses all of his or her wealth by trading equities in the stock market. ...
  5. Quick Ratio

    The quick ratio is an indicator of a company’s short-term liquidity. The quick ratio measures a company’s ability to meet ...
  6. Black Tuesday

    October 29, 1929, when the DJIA fell 12% - one of the largest one-day drops in stock market history. More than 16 million ...
Trading Center