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June 1, 1967IEEE Transactions on Audio and Electroacoustics12,310 citations

The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms

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PWP. D. Welch

Key Points

  • To develop an efficient spectral analysis method using the fast Fourier transform to estimate power spectra from segmented time-series data.
  • Partitioned continuous time-series records into shorter individual sections.
  • Applied the fast Fourier transform to compute modified periodograms for each section and averaged them across time.
  • Reduced the total number of computations and core storage required for spectral estimation.
  • Enabled convenient and effective application in nonstationarity testing.

Abstract

The use of the fast Fourier transform in power spectrum analysis is described. Principal advantages of this method are a reduction in the number of computations and in required core storage, and convenient application in nonstationarity tests. The method involves sectioning the record and averaging modified periodograms of the sections.

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Cite This Study

P. D. Welch (1967) studied this question.

synapsesocial.com/papers/69d6caf8733a2b54c8aa8403https://doi.org/10.1109/tau.1967.1161901
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