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Pricing

Research method

Fast Fourier Transform

Fast Fourier Transform is a canonical archive-taxonomy method; this registry entry defines its inputs, output and use boundary.

Output
Conditional forecast or research filter
Input
Ordered price, volume or breadth observations
Horizon
A defined sampling interval and lookback
Best use
Compare an explicit quantitative baseline with an out-of-sample result.

Registry evidence level: backtested. This is a navigation record, not a performance claim.

  • Input: Ordered price, volume or breadth observations.
  • Output: forecast.
  • Use boundary: Compare an explicit quantitative baseline with an out-of-sample result.
The graph3

How the method is built, and where it has been read

Depends on

Read in the archive17 readings

1982Building FFT spectra to size cycle filtersCycles and spectral analysis1988Fourier cycle models break in major swingsCycles and spectral analysis1988Constructing moving average filters from price Fast Fourier TransformsCycles and spectral analysis1989Staging Fast Fourier construction under memory limitsCycles and spectral analysis1993Constructing forecast inputs with moving averages, Fourier transforms and intermarket spreadsTime series and forecasting1994Building dominant-cycle spectra with FFT preprocessingCycles and spectral analysis1994Constructing a spreadsheet FFT power spectrum from daily pricesCycles and spectral analysis1994Preprocessing prices so Fourier peaks set moving-average lengthsCycles and spectral analysis1994Constructing labeled cycle lengths from FFT spectraCycles and spectral analysis1999Fast Fourier Transform reconstruction is not a walk-forward decision toolCycles and spectral analysis1999Walk-forward endpoint Fourier construction as a same-day mechanical procedureCycles and spectral analysis2002Timing market cycles with finite impulse response filters and FFTCycles and spectral analysis2002From the power spectrum to indicator windowsCycles and spectral analysis2003Endpoint Fast Fourier Transform evaluation with walk-forward mechanical rulesCycles and spectral analysis2004Constructing signal and noise from market waveformsCycles and spectral analysis2012A two-stage case study in market cycle analysisCycles and spectral analysis2015Whitening pink noise to build a near-zero-lag cycle oscillatorCycles and spectral analysis
This registry entry describes a research method. It is not investment advice and does not make a performance claim.