메뉴 건너뛰기




Volumn 15, Issue 2, 2005, Pages 122-136

Properties of Savitzky-Golay digital differentiators

Author keywords

Differentiation; Digital differentiator; Property; Savitzky Golay

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIFFERENTIATION (CALCULUS); DIGITAL FILTERS; ELECTROCARDIOGRAPHY; ERROR ANALYSIS; FREQUENCY RESPONSE; POLYNOMIALS; SIGNAL FILTERING AND PREDICTION;

EID: 13844311388     PISSN: 10512004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dsp.2004.09.008     Document Type: Article
Times cited : (228)

References (45)
  • 1
    • 0025409971 scopus 로고
    • Low-pass differentiators for biological signals with known spectra: Application to ECG signal processing
    • P. Laguna, N. Thakor, P. Caminal, and R. Jane Low-pass differentiators for biological signals with known spectra: application to ECG signal processing IEEE Trans. Biomed. Eng. 37 1990 420 425
    • (1990) IEEE Trans. Biomed. Eng. , vol.37 , pp. 420-425
    • Laguna, P.1    Thakor, N.2    Caminal, P.3    Jane, R.4
  • 3
    • 0020335520 scopus 로고
    • Digital low-pass differentiation for biological signal processing
    • S. Shiro, and A. Imidror Digital low-pass differentiation for biological signal processing IEEE Trans. Biomed. Eng. BME-29 1982 686 693
    • (1982) IEEE Trans. Biomed. Eng. BME-29 , pp. 686-693
    • Shiro, S.1    Imidror, A.2
  • 5
    • 4644366111 scopus 로고    scopus 로고
    • Axial strain calculation using a low-pass digital differentiator in ultrasound elastography
    • J. Luo, J. Bai, P. He, and K. Ying Axial strain calculation using a low-pass digital differentiator in ultrasound elastography IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 51 2004 1119 1127
    • (2004) IEEE Trans. Ultrason. Ferroelect. Freq. Contr. , vol.51 , pp. 1119-1127
    • Luo, J.1    Bai, J.2    He, P.3    Ying, K.4
  • 6
    • 0004181307 scopus 로고
    • third ed. Prentice Hall Englewood Cliffs, NJ
    • R.W. Hamming Digital Filters third ed. 1989 Prentice Hall Englewood Cliffs, NJ
    • (1989) Digital Filters
    • Hamming, R.W.1
  • 7
    • 0042553279 scopus 로고
    • Smoothing and differentiation of data by simplified least squares procedures
    • A. Savitzky, and M.J.E. Golay Smoothing and differentiation of data by simplified least squares procedures Anal. Chem. 36 1964 1627 1639
    • (1964) Anal. Chem. , vol.36 , pp. 1627-1639
    • Savitzky, A.1    Golay, M.J.E.2
  • 8
    • 0345591924 scopus 로고
    • Comments on smoothing and differentiation of data by simplified least square procedure
    • J. Steinier, Y. Termonia, and J. Deltour Comments on smoothing and differentiation of data by simplified least square procedure Anal. Chem. 44 1972 1906 1909
    • (1972) Anal. Chem. , vol.44 , pp. 1906-1909
    • Steinier, J.1    Termonia, Y.2    Deltour, J.3
  • 9
    • 33947093072 scopus 로고
    • Comments on Savitzky-Golay convolution method for least-squares fit smoothing and differentiation of digital data
    • H.H. Madden Comments on Savitzky-Golay convolution method for least-squares fit smoothing and differentiation of digital data Anal. Chem. 50 1978 1383 1386
    • (1978) Anal. Chem. , vol.50 , pp. 1383-1386
    • Madden, H.H.1
  • 10
    • 85012711620 scopus 로고
    • Sensitivity enhancement in magnetic resonance
    • J.S. Waugh Academic Press New York
    • R.R. Ernst Sensitivity enhancement in magnetic resonance J.S. Waugh Advances in Magnetic Resonance, vol. 2 1966 Academic Press New York
    • (1966) Advances in Magnetic Resonance, Vol. 2
    • Ernst, R.R.1
  • 11
    • 11944254534 scopus 로고
    • General least-squares smoothing and differentiation by the convolution (Savitzky-Golay) method
    • P.A. Gorry General least-squares smoothing and differentiation by the convolution (Savitzky-Golay) method Anal. Chem. 62 1990 570 573
    • (1990) Anal. Chem. , vol.62 , pp. 570-573
    • Gorry, P.A.1
  • 12
    • 0001800289 scopus 로고
    • Some advanced topics in filter design
    • J.S. Lim A.V. Oppenheim Prentice Hall Englewood Cliffs, NJ
    • H.W. Schüssler, and P. Steffen Some advanced topics in filter design J.S. Lim A.V. Oppenheim Advanced Topics in Signal Processing 1988 Prentice Hall Englewood Cliffs, NJ
    • (1988) Advanced Topics in Signal Processing
    • Schüssler, H.W.1    Steffen, P.2
  • 14
    • 4244148376 scopus 로고
    • General least-squares smoothing and differentiation of nonuniformly spaced data by the convolution method
    • P.A. Gorry General least-squares smoothing and differentiation of nonuniformly spaced data by the convolution method Anal. Chem. 63 1991 534 536
    • (1991) Anal. Chem. , vol.63 , pp. 534-536
    • Gorry, P.A.1
  • 15
    • 0021531901 scopus 로고
    • Least-squares polynomial filters for initial point and slope estimation
    • R.A. Leach, C.A. Carter, and J.M. Harris Least-squares polynomial filters for initial point and slope estimation Anal. Chem. 56 1984 2304 2307
    • (1984) Anal. Chem. , vol.56 , pp. 2304-2307
    • Leach, R.A.1    Carter, C.A.2    Harris, J.M.3
  • 16
    • 33845379255 scopus 로고
    • Comments on least-square polynomial filters for initial point and slope estimation
    • P.A. Baedecker Comments on least-square polynomial filters for initial point and slope estimation Anal. Chem. 57 1985 1477 1479
    • (1985) Anal. Chem. , vol.57 , pp. 1477-1479
    • Baedecker, P.A.1
  • 17
    • 0000585026 scopus 로고
    • Smoothing and differentiation by an adaptive-degree polynomial filter
    • P. Barak Smoothing and differentiation by an adaptive-degree polynomial filter Anal. Chem. 67 1995 2758 2762
    • (1995) Anal. Chem. , vol.67 , pp. 2758-2762
    • Barak, P.1
  • 18
    • 2342598315 scopus 로고    scopus 로고
    • Adaptive-degree polynomial filter for voltammetric signals
    • M. Jakubowska, and W.W. Kubiak Adaptive-degree polynomial filter for voltammetric signals Anal. Chim. Acta 512 2004 241 250
    • (2004) Anal. Chim. Acta , vol.512 , pp. 241-250
    • Jakubowska, M.1    Kubiak, W.W.2
  • 19
    • 0037037223 scopus 로고    scopus 로고
    • On the de-noising of Monte Carlo calculated dose distributions
    • I. Kawrakow On the de-noising of Monte Carlo calculated dose distributions Phys. Med. Biol. 47 2002 3087 3103
    • (2002) Phys. Med. Biol. , vol.47 , pp. 3087-3103
    • Kawrakow, I.1
  • 20
    • 0343505774 scopus 로고
    • Computation of two-dimensional polynomial least-squares convolution smoothing integers
    • K.L. Ratzlaff, and J.T. Johnson Computation of two-dimensional polynomial least-squares convolution smoothing integers Anal. Chem. 61 1989 1303 1305
    • (1989) Anal. Chem. , vol.61 , pp. 1303-1305
    • Ratzlaff, K.L.1    Johnson, J.T.2
  • 21
    • 0007548362 scopus 로고
    • Multidimensional least-squares smoothing using orthogonal polynomials
    • J.E. Kuo, H. Wang, and S. Pickup Multidimensional least-squares smoothing using orthogonal polynomials Anal. Chem. 63 1991 630 635
    • (1991) Anal. Chem. , vol.63 , pp. 630-635
    • Kuo, J.E.1    Wang, H.2    Pickup, S.3
  • 22
    • 0035354918 scopus 로고    scopus 로고
    • Fast edge-preserving noise reduction for ultrasound images
    • C. Chinrungrueng, and A. Suvichakorn Fast edge-preserving noise reduction for ultrasound images IEEE Trans. Nucl. Sci. 48 2001 849 854
    • (2001) IEEE Trans. Nucl. Sci. , vol.48 , pp. 849-854
    • Chinrungrueng, C.1    Suvichakorn, A.2
  • 28
    • 84871585333 scopus 로고    scopus 로고
    • The MATLAB Central File Exchange at http://www.mathworks.com/ matlabcentral/fileexchange/loadFileList.do?objectType=search&criteria= savitzky+or+sgolayfilt&Search=Go
    • The MATLAB Central File Exchange
  • 29
    • 0141690668 scopus 로고
    • Signal-to-noise ratio enhancement by least-squares polynomial smoothing
    • C.G. Enke, and T.A. Nieman Signal-to-noise ratio enhancement by least-squares polynomial smoothing Anal. Chem. 48 1976 A705 A712
    • (1976) Anal. Chem. , vol.48
    • Enke, C.G.1    Nieman, T.A.2
  • 30
    • 0042652460 scopus 로고
    • Predicting the statistical properties of least-squares polynomial filters
    • G.R. Phillips, and J.M. Harris Predicting the statistical properties of least-squares polynomial filters Anal. Chem. 62 1990 2749 2752
    • (1990) Anal. Chem. , vol.62 , pp. 2749-2752
    • Phillips, G.R.1    Harris, J.M.2
  • 31
    • 0019397062 scopus 로고
    • Properties of digital smoothing polynomial (DISPO) filters
    • H. Ziegler Properties of digital smoothing polynomial (DISPO) filters Appl. Spectr. 35 1981 88 92
    • (1981) Appl. Spectr. , vol.35 , pp. 88-92
    • Ziegler, H.1
  • 32
    • 0006022952 scopus 로고
    • Digital least-squares smoothing of spectra
    • T.H. Edwards, and P.D. Willson Digital least-squares smoothing of spectra Appl. Spectr. 28 1974 541 545
    • (1974) Appl. Spectr. , vol.28 , pp. 541-545
    • Edwards, T.H.1    Willson, P.D.2
  • 34
    • 0030104213 scopus 로고    scopus 로고
    • Savitzky and Golay differentiation in AES
    • I.S. Gilmore, and M.P. Seah Savitzky and Golay differentiation in AES Appl. Surf. Sci. 93 1996 273 280
    • (1996) Appl. Surf. Sci. , vol.93 , pp. 273-280
    • Gilmore, I.S.1    Seah, M.P.2
  • 35
    • 0032183198 scopus 로고    scopus 로고
    • Derivative analysis of hyperspectral data
    • F. Tsai, and W. Philpot Derivative analysis of hyperspectral data Remote Sensing Environ. 66 1998 41 51
    • (1998) Remote Sensing Environ. , vol.66 , pp. 41-51
    • Tsai, F.1    Philpot, W.2
  • 36
    • 0034667282 scopus 로고    scopus 로고
    • Electron resonances and Savitzky-Golay methods: How can the tunneling current be properly calculated?
    • P. Moninas-Mata, and P. Molinas-Mata Electron resonances and Savitzky-Golay methods: How can the tunneling current be properly calculated? Comp. Phys. Commun. 132 2000 104 109
    • (2000) Comp. Phys. Commun. , vol.132 , pp. 104-109
    • Moninas-Mata, P.1    Molinas-Mata, P.2
  • 37
    • 0842284654 scopus 로고    scopus 로고
    • Towards universal broad leaf chlorophyll indices using PROSPECT simulated database and hyperspectral reflectance measurements
    • G. le Maire, C. Francois, and E. Dufrene Towards universal broad leaf chlorophyll indices using PROSPECT simulated database and hyperspectral reflectance measurements Remote Sensing Environ. 89 2004 1 28
    • (2004) Remote Sensing Environ. , vol.89 , pp. 1-28
    • Le Maire, G.1    Francois, C.2    Dufrene, E.3
  • 38
    • 0032582209 scopus 로고    scopus 로고
    • Application of derivative spectrophotometry for determination of coenzyme Q(10) in pharmaceuticals and plasma
    • J. Karpinska, B. Mikoluc, and J. Piotrowska-Jastrzebska Application of derivative spectrophotometry for determination of coenzyme Q(10) in pharmaceuticals and plasma J. Pharm. Biomed. Anal. 17 1998 1345 1350
    • (1998) J. Pharm. Biomed. Anal. , vol.17 , pp. 1345-1350
    • Karpinska, J.1    Mikoluc, B.2    Piotrowska-Jastrzebska, J.3
  • 39
    • 0006589968 scopus 로고    scopus 로고
    • Derivative UV-VIS spectrophotometry in analytical chemistry
    • S. Kus, Z. Marczenko, and N. Obarski Derivative UV-VIS spectrophotometry in analytical chemistry Chem. Anal. 41 1996 899 929
    • (1996) Chem. Anal. , vol.41 , pp. 899-929
    • Kus, S.1    Marczenko, Z.2    Obarski, N.3
  • 42
    • 0026142959 scopus 로고
    • Maximum flat digital differentiator
    • B. Carlsson Maximum flat digital differentiator Electron. Lett. 27 1991 675 677
    • (1991) Electron. Lett. , vol.27 , pp. 675-677
    • Carlsson, B.1
  • 43
    • 0023996635 scopus 로고
    • Coefficients of maximally linear, FIR digital differentiators for low-frequencies
    • B. Kumar, and S.C.D. Roy Coefficients of maximally linear, FIR digital differentiators for low-frequencies Electron. Lett. 24 1988 563 565
    • (1988) Electron. Lett. , vol.24 , pp. 563-565
    • Kumar, B.1    Roy, S.C.D.2
  • 44
    • 0004244120 scopus 로고    scopus 로고
    • second ed. Tsinghua University Beijing, China
    • X.D. Zhang Modern Signal Processing second ed. 2002 Tsinghua University Beijing, China in Chinese
    • (2002) Modern Signal Processing
    • Zhang, X.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.