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Spectrum and spectral density estimation by the Discrete ...

Spectrumandspectraldensity estimationby theDiscreteFouriertransform(DFT),includi nga comprehensive listof windowfunctionsandsomenew Heinzel , A. R udigerand R. Schilling,Max-Planck-Institutf ur Gravitationsphysik(Albert-Einstein-Insti tut)TeilinstitutHannoverFebruary15, 2002 AbstractThisreporttriesto give a practicaloverviewabouttheestimationof power spectra/powerspectraldensitiesusingtheDF T/FFT. Onepoint thatis emphasizedis therelationshipbe-tweenestimatesof power spectraandpower spectraldensitieswhich is given by thee ectivenoisebandwidth(ENBW). Includedis a detailedlistof commonandusefulwindow func-tions,amongthemtheoftenneglected area procedureto testnewprograms,a tableof comprehensive graphsforeach window andtheintroductionof a wholefamilyofnew at-topwindowsthatfeaturesidelobe suppressionlevelsof upto 248dB,as comparedwith 90 dBof thebest at-topwindowsavailableuntil Abbreviationsandsymbols42 Preface53 Introduction54 Scalingbitsto Volts75 DiscreteFourierTransformation(DFT)76 ,peak-peakandrms.

ADC Analog-to-Digital Converter AF Amplitude Flatness, see Section 10 BW BandWidth dB deciBel, see Section 6 DC ‘Direct Current’, constant component of a signal DFT Discrete Fourier Transform ENBW E ective Noise BandWidth, see Equation (22) FFT Fast Fourier Transform FFTW A software package that implements the FFT GPL Gnu Public License

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