Abstract
The joint time-frequency analysis (JTFA) is a signal processing technique in which signals are represented in both the time domain and the frequency domain simultaneously. Recently, this analysis technique has become an extremely powerful tool for analyzing nonstationary time series. One basic problem in business-cycle studies is how to deal with nonstationary time series. The market economy is an evolutionary system. Economic time series therefore contain stochastic components that are necessarily time dependent. Traditional methods of business cycle analysis, such as the correlation analysis and the spectral analysis, cannot capture such historical information because they do not take the time-varying characteristics of the business cycles into consideration. In this paper, we introduce and apply a new technique to the studies of the business cycle: the wavelet-based time-frequency analysis that has recently been developed in the field of signal processing. This new method allows us to characterize and understand not only the timing of shocks that trigger the business cycle, but also situations where the frequency of the business cycle shifts in time. Applying this new method to post war US data, we are able to show that 1973 marks a new era for the evolution of the business cycle since World War II.
This work has been supported by a grant, HKUST6176/98H, from the Research Grants Council of the Hong Kong Special Administrative Region, China.
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References
Allen J.B., Rabiner L.R., “A unified approach to short-time Fourier analysis and synthesis,” Proceedings of the IEEE, vol. 65, no. 11, 1977, pp. 1558–64.
Boashash B., “Theory, implementation and application of time-frequency signal analysis using the Wigner-Ville distribution,” Journal of Electrical and Electronics Engineering, vol. 7, no. 3, 1987, pp. 166–177.
Cohen L., “Time-frequency distributions-a review,” Proceedings of the IEEE, vol. 77, no.7, 1989, pp. 941–981.
Daubechies I., “The wavelet transform,time-frequency localization and signal analysis,” IEEE Transactions on Information Theory, vol. 36, no. 5, 1990, pp. 961–1005.
Gabor D., “Theory of communication,” J. Inst. Elec. Eng., vol. 93, 1946, pp. 429–457.
Hlawatsch F., Boudreaux-Bartels G. F., “Linear and quadratic time-frequency signal representation,” IEEE Signal Processing Magazine, 1992, pp. 21–67.
Kaiser G., “A friendly guide to wavelets,” Birkhauser, Boston, 1994.
Lin Z., “An introduction to time-frequency signal analysis,” Sensor Review, vol. 17, no. 1, 1997, pp. 46–53.
Nawab S.N., Quatieri T. F., “Short-time Fourier transform,” In Lim, J. S. and Oppenheim, A. V.(Eds), Advanced Topics in Signal Processing, Prentice-Hall, Englewood Cliffs, NJ, 1988.
Ramsey J., “The contribution of wavelets to the analysis of economic and financial data,” Phil.. Trans. R. Soc. Lond. A (forthcoming), 1996.
Ramsey J., Zhang Z., “The analysis of foreign exchange rates using waveform dictionaries,” Journal of Empirical Finance, 4, 1997, pp. 341–372.
Ramsey J., Usikov D., Zaslavsky G., “An analysis of US stock price behavior using wavelets,” Fractals, vol. 3, no. 2, 1995, pp. 377–389.
Rioul O., Flandrin P., “Time-scale energy distributions:a general class extending wavelet transforms,” IEEE Transactions on Signal Processing, vol. 40, no. 7, 1992, pp. 1746–57.
Rioul O., Vetterli M., “Wavelets and signal processing,” IEEE Signal Processing Magazine, 1991, pp.14–38.
Stankovic L., “An analysis of some time-frequency and time-scale distributions,” Annals of Telecommunications, vol. 49, no. 9–10, 1994, pp. 505–517.
Teolis A., “Computational signal processing with wavelets,” 1964.
Vetterli M., Harley C., “Wavelets and filter banks:theory and design,” IEEE Transactions on Signal Processing, vol. 40, no. 9, 1992, pp. 2207–2232.
Wen Y., Zeng B., “ A simple nonlinear filter for economic time series analysis,” Economics Letters, 64, 1999, pp. 151–160.
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Raihan, S.M., Wen, Y., Zeng, B. (2001). Joint Time-Frequency Distributions for Business Cycle Analysis. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_44
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DOI: https://doi.org/10.1007/3-540-45333-4_44
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