Fourier Transform Foundations intermediate

A finite time series can be rewritten exactly as a combination of cycles; the frequency-domain view is often the clearest way to see periodic structure, but it is easy to misuse in non-stationary financial data.

A finite time series can be rewritten exactly as a combination of cycles; the frequency-domain view is often the clearest way to see periodic structure, but it is easy to misuse in non-stationary financial data.

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References

Empirical properties of asset returns: stylized facts and statistical issues
R. Cont (2001) — Quantitative Finance
N-BEATS: Neural basis expansion analysis for interpretable time series forecasting
Boris N. Oreshkin, Dmitri Carpov, Nicolas Chapados, Yoshua Bengio (2019)
From Pixels to Predictions: Spectrogram and Vision Transformer for Better Time Series Forecasting
Zhen Zeng, Rachneet Kaur, Suchetha Siddagangappa, Tucker Balch, Manuela Veloso (2024)