ANISOTROPY OF SURFACE ROUGHNESS - Centrum Textil

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$Surface roughness and fractal dimension - Centrum Textil$

60Spectral504030analysis20100-1 0Expression of signal R(x) by the Fourier series of sineand cosine wave. The Fourier Transform is conversion of datafrom series according to x to the series of frequencies ,RF∑( ω ) = R ( x ) * exp( − i * ω * x )S =-2 00 500 1000 150022 2( ω)= DRF * conj(DRF) / L abs(DRF)/ Lω = 2π* k /( M * L)conj(.) denotes conjugate vector.For discrete data the fast Fourier Transform (FFT) leads totransformed complex vector DRF.Vector DRF may be used for creation of power spectral density( PSD) S(ω)
PSD of periodic functionR(d) =3* sin(2*pi*10*t) +4* sin(2*pi*4*t)+N(0,1)10rough data4spectral density FFT53R(d)0-521S(f)-100 500 1000300200100Welch periodogramS(f)00 10 20MEM power spectrum3000AR order=2AR order=52000100000 10 20f00 10 20f
Page 2 and 3: Liberec• Pearl at the foot of the
Page 4 and 5: Textiles surface roughness• the s
Page 6 and 7: Weaves surface profileVariation of
Page 12: Spatial statistical analysisStatist
Page 15 and 16: Randomfractal6 x 10-3 Random walk,
Page 18 and 19: Fractional BrownianmotionThe expect
Page 21 and 22: Fractal dimension fBn1. Stochastic
Page 23 and 24: Fractional noise fGnFractional nois
Page 25 and 26: MATLAB program outputsThese basic c
Page 27 and 28: Surface spectral moments• Surface
Page 29 and 30: AnisotropycharacteristicsLong-crest
Page 31 and 32: Measurement• For investigation of
Page 33 and 34: Sample Afractal dimension mean = 1.
Page 35 and 36: Sample Cfractal dimension mean = 1.
Page 37 and 38: Anisotropy - twill
Page 39 and 40: ANISOTROPY OF SURFACE ROUGHNESSJiř
Page 41 and 42: e simple to derive confidence inter
Page 43 and 44: 2.3 ROUGHNESS IN SPATIAL DOMAINIt i
Page 45 and 46: The second profile spectral moment

ANISOTROPY OF SURFACE ROUGHNESS - Centrum Textil

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