IDEAS home Printed from https://ideas.repec.org/p/zbw/bofrdp/rdp2009_032.html
   My bibliography  Save this paper

How do you make a time series sing like a choir? Using the Hilbert-Huang transform to extract embedded frequencies from economic or financial time series

Author

Listed:
  • Crowley, Patrick M.

Abstract

The Hilbert-Huang transform (HHT) was developed late last century but has still to be introduced to the vast majority of economists. The HHT transform is a way of extracting the frequency mode features of cycles embedded in any time series using an adaptive data method that can be applied without making any assumptions about stationarity or linear data-generating properties. This paper introduces economists to the two constituent parts of the HHT transform, namely empirical mode decomposition (EMD) and Hilbert spectral analysis. Illustrative applications using HHT are also made to two financial and three economic time series.

Suggested Citation

  • Crowley, Patrick M., 2009. "How do you make a time series sing like a choir? Using the Hilbert-Huang transform to extract embedded frequencies from economic or financial time series," Bank of Finland Research Discussion Papers 32/2009, Bank of Finland.
    • Handle: RePEc:zbw:bofrdp:rdp2009_032
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/212153/1/bof-rdp2009-032.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Levy, Daniel & Dezhbakhsh, Hashem, 2003. "International Evidence on Output Fluctuation and Shock Persistence," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 50(7), pages 1499-1530.
    2. Benati, Luca, 2009. "Long run evidence on money growth and inflation," Working Paper Series 1027, European Central Bank.
    3. Levy, Daniel & Dezhbakhsh, Hashem, 2003. "On the Typical Spectral Shape of an Economic Variable," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 10(7), pages 417-423.
    4. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Crowley, Patrick M., 2009. "How do you make a time series sing like a choir? : Using the Hilbert-Huang transform to extract embedded frequencies from economic or financial time series," Research Discussion Papers 32/2009, Bank of Finland.
    2. repec:zbw:bofrdp:2009_032 is not listed on IDEAS
    3. Crowley, Patrick M., 2010. "Long cycles in growth: explorations using new frequency domain techniques with US data," Bank of Finland Research Discussion Papers 6/2010, Bank of Finland.
    4. Crowley, Patrick M., 2010. "Long cycles in growth : explorations using new frequency domain techniques with US data," Research Discussion Papers 6/2010, Bank of Finland.
    5. repec:zbw:bofrdp:2010_006 is not listed on IDEAS
    6. Crowley, Patrick M. & Lee, Jim, 2005. "Decomposing the co-movement of the business cycle : a time-frequency analysis of growth cycles in the euro area," Research Discussion Papers 12/2005, Bank of Finland.
    7. Crowley, Patrick M. & Maraun, Douglas & Mayes, David, 2006. "How hard is the euro area core? An evaluation of growth cycles using wavelet analysis," Bank of Finland Research Discussion Papers 18/2006, Bank of Finland.
    8. António Rua, 2012. "Money Growth and Inflation in the Euro Area: A Time-Frequency View," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(6), pages 875-885, December.
    9. Crowley Patrick M., 2012. "How Do You Make A Time Series Sing Like a Choir? Extracting Embedded Frequencies from Economic and Financial Time Series using Empirical Mode Decomposition," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(5), pages 1-31, December.
    10. Patrick M. Crowley & Andrew Hughes Hallett, 2021. "The Evolution of US and UK Real GDP Components in the Time-Frequency Domain: A Continuous Wavelet Analysis," Journal of Business Cycle Research, Springer;Centre for International Research on Economic Tendency Surveys (CIRET), vol. 17(3), pages 233-261, December.
    11. Crowley, Patrick M. & Maraun, Douglas & Mayes, David, 2006. "How hard is the euro area core? : an evaluation of growth cycles using wavelet analysis," Research Discussion Papers 18/2006, Bank of Finland.
    12. repec:zbw:bofrdp:2005_012 is not listed on IDEAS
    13. Patrick M. Crowley & David Hudgins, 2022. "Monetary policy objectives and economic outcomes: What can we learn from a wavelet‐based optimal control approach?," Manchester School, University of Manchester, vol. 90(2), pages 144-170, March.
    14. repec:zbw:bofrdp:2006_018 is not listed on IDEAS
    15. Marfatia, Hardik A., 2017. "A fresh look at integration of risks in the international stock markets: A wavelet approach," Review of Financial Economics, Elsevier, vol. 34(C), pages 33-49.
    16. Hudgins, David & Crowley, Patrick M., 2017. "Modelling a small open economy using a wavelet-based control model," Research Discussion Papers 32/2017, Bank of Finland.
    17. Huang, Shupei & An, Haizhong & Gao, Xiangyun & Sun, Xiaoqi, 2017. "Do oil price asymmetric effects on the stock market persist in multiple time horizons?," Applied Energy, Elsevier, vol. 185(P2), pages 1799-1808.
    18. Marco Gallegati, 2019. "A system for dating long wave phases in economic development," Journal of Evolutionary Economics, Springer, vol. 29(3), pages 803-822, July.
    19. Britta Gehrke & Fang Yao, 2016. "Persistence and volatility of real exchange rates: the role of supply shocks revisited," Reserve Bank of New Zealand Discussion Paper Series DP2016/02, Reserve Bank of New Zealand.
    20. Andersson, Fredrik N.G. & Edgerton, David L. & Opper, Sonja, 2013. "A Matter of Time: Revisiting Growth Convergence in China," World Development, Elsevier, vol. 45(C), pages 239-251.
    21. repec:zbw:bofrdp:2019_011 is not listed on IDEAS
    22. Yushu Li & Fredrik N. G. Andersson, 2021. "A simple wavelet-based test for serial correlation in panel data models," Empirical Economics, Springer, vol. 60(5), pages 2351-2363, May.
    23. Ansgar Belke & Robert Czudaj, 2010. "Is Euro Area Money Demand (Still) Stable? Cointegrated VAR Versus Single Equation Techniques," Applied Economics Quarterly (formerly: Konjunkturpolitik), Duncker & Humblot, Berlin, vol. 56(4), pages 285-315.
    24. António Rua, 2012. "Wavelets in economics," Economic Bulletin and Financial Stability Report Articles and Banco de Portugal Economic Studies, Banco de Portugal, Economics and Research Department.
    25. Esparcia, Carlos & Jareño, Francisco & Umar, Zaghum, 2022. "Revisiting the safe haven role of Gold across time and frequencies during the COVID-19 pandemic," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:bofrdp:rdp2009_032. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/bofgvfi.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.