The Discrete Fourier Transform

mathematics of the discrete fourier transform

mathematics of the discrete fourier transform

... (s) The Fourier transform equals the Laplace transform evaluated along the “jω axis” in the s plane, i.e., along the line s = jω, for which σ =0. Also, the Laplace transform is obtainable from the ... obtainable from the Fourier transform via analytic continuation. The usefulness of the Laplace transform relative to the Fourier transform is exactly anal...

Ngày tải lên: 31/03/2014, 15:21

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Tài liệu 01 Fourier Series, Fourier Transforms, and the DFT doc

Tài liệu 01 Fourier Series, Fourier Transforms, and the DFT doc

... (1.19b) whereω  =ωTisthenormalizedDTfrequencyaxisexpressedinradians.NotethatS(e jωT )= S(e jω  )consistsofaninfinitenumberofreplicasoftheCTspectrumS(jω),positionedatintervals of(2π/T)ontheωaxis(oratintervalsof2πontheω  axis),asillustratedinFig.1.8.Notethatif S(jω)isbandlimitedwithabandwidthω c ,andifTischosensufficientlysmallsothatω s >2ω c , thentheDTspectrumisacopyofS(jω)(scaledby1/T)in...

Ngày tải lên: 27/01/2014, 03:20

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Comparison between the Matrix Pencil Method and the Fourier Transform Technique for High-Resolution Spectral Estimation

Comparison between the Matrix Pencil Method and the Fourier Transform Technique for High-Resolution Spectral Estimation

... because the Standard window reduces the bias but at the same time increases the variance. On the other hand, the use of the Rectangular window makes a FTE biased even for high SNR. In Fig. 21 the ... for SNR below 10 dB the FTE with the Standard window offers less bias than the TFBMPM. Nevertheless, the rmse obtained with the TFBMPM is less than the one computed us...

Ngày tải lên: 26/03/2014, 00:29

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