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Filter Design in the Frequency Domain

In: New Findings in Long-Wave Research

Author

Listed:
  • Rainer Metz
  • Winfried Stier

Abstract

Within economic and social research, time series play an important role in many respects. They are taken as indicators for the economic and social processes which are investigated. Since time series are sets of time-ordered observations, we can conceive them as signals or as a sum of such signals. A lot of questions dealing with time series, that is, with signals, can be formalised and transformed into algorithms by using the theory of linear time-invariant systems. As a system S we define every rule which transforms a signal S(a) into a signal S(b).

Suggested Citation

  • Rainer Metz & Winfried Stier, 1992. "Filter Design in the Frequency Domain," Palgrave Macmillan Books, in: Alfred Kleinknecht & Ernest Mandel & Immanuel Wallerstein (ed.), New Findings in Long-Wave Research, chapter 3, pages 45-79, Palgrave Macmillan.
    • Handle: RePEc:pal:palchp:978-1-349-22450-0_3
    DOI: 10.1007/978-1-349-22450-0_3
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    Cited by:

    1. Spinola, Danilo, 2023. "Instability constraints and development traps: an empirical analysis of growth cycles and economic volatility in Latin America," Revista CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), April.
    2. Jacky Fayolle, 1994. "Le repérage macroéconomique des fluctuations longues : une évaluation critique de quelques travaux modernes," Revue de l'OFCE, Programme National Persée, vol. 51(1), pages 123-166.
    3. Rainer Metz, 2011. "Do Kondratieff waves exist? How time series techniques can help to solve the problem," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 5(3), pages 205-238, October.

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