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

1967 IEEE Transactions on Audio and Electroacoustics 11,282 citations

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.

Keywords

Spectral density estimationFast Fourier transformDiscrete Fourier transform (general)Fourier transformNon-uniform discrete Fourier transformSpectral densityComputationShort-time Fourier transformAlgorithmPower (physics)Time–frequency analysisDiscrete-time Fourier transformMathematicsReduction (mathematics)Harmonic wavelet transformFourier analysisComputer scienceStatisticsArtificial intelligencePhysicsMathematical analysisWavelet transformFilter (signal processing)Computer vision

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Publication Info

Year
1967
Type
article
Volume
15
Issue
2
Pages
70-73
Citations
11282
Access
Closed

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Cite This

P. D. Welch (1967). The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms. IEEE Transactions on Audio and Electroacoustics , 15 (2) , 70-73. https://doi.org/10.1109/tau.1967.1161901

Identifiers

DOI
10.1109/tau.1967.1161901