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Correlation Methods in Chemical Data Measurement

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Contemporary Topics in Analytical and Clinical Chemistry

Abstract

Correlation techniques have long been used to measure and process signals in physics, chemistry, and engineering. Lee et al. (1) discussed the application of correlation analysis to the detection of periodic communication signals rather early and later reviewed the topic in some detail.(2) Correlation techniques, again applied primarily to communications, have also been discussed by Lange(3) and were applied at a relatively early stage to the analysis of electroencephelographic data.(4,5) Although correlation techniques have been employed in these and other fields with considerable advantage and success, their use has unfortunately been somewhat limited by a lack of understanding of the principles involved in the computation, utilization, and measurement of correlation functions. In addition, for practical purposes it has been difficult to use correlation techniques because effective methods and instrumentation were not available for the rapid, automatic evaluation of correlation functions.

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References

  1. Y. W. Lee, T. P. Cheatham, Jr., and J. B. Wiesmer, Proc. IRE, 38, 1165 (1950).

    Article  Google Scholar 

  2. Y. W. Lee, Statistical Theory of Communication, John Wiley & Sons, New York (1960).

    Google Scholar 

  3. F. H. Lange, Correlation Techniques, D. Van Nostrand, Princeton, New Jersey (1967).

    Google Scholar 

  4. W. A. Rosenbleth, Processing Neuroelectric Data, The MIT Press, Cambridge, Massachusetts (1959).

    Google Scholar 

  5. J. S. Barlow, IRE Trans. Med. Electron., ME-6, 179 (1959).

    Google Scholar 

  6. G. M. Hieftje, Anal. Chem., 44 (6), 81A (1972).

    CAS  Google Scholar 

  7. G. M. Hieftje, Anal. Chem., 44 (7), 69A (1972).

    CAS  Google Scholar 

  8. H. V. Malmstadt, C. G. Enke, S. R. Crouch, and G. Horlick, Optimization of Electronic Measurements, W. A. Benjamin, Menlo Park, California (1974).

    Google Scholar 

  9. G. M. Hieftje, R. I. Bystroff, and R. Lim, Anal. Chem., 45, 253 (1973).

    Article  CAS  Google Scholar 

  10. I. G. McWilliam and H. C. Bolton, Anal. Chem., 41, 1755 (1969).

    Article  CAS  Google Scholar 

  11. G. Horlick, Anal. Chem., 43 (8), 61A (1971).

    CAS  Google Scholar 

  12. A. Savitzky and M. J. E. Golay, Anal. Chem., 36, 1627 (1964).

    Article  CAS  Google Scholar 

  13. G. Horlick, Anal. Chem., 44, 943 (1972).

    Article  CAS  Google Scholar 

  14. K. R. Betty and G. Horlick, Appl. Spectrosc., 30, 23 (1976).

    Article  CAS  Google Scholar 

  15. J. W. Hayes, D. E. Glover, D. E. Smith, and M. W. Overton, Anal. Chem., 45, 277 (1973).

    Article  CAS  Google Scholar 

  16. C. A. Bush, Anal. Chem., 46, 890 (1974).

    Article  Google Scholar 

  17. M. Caprini, S. Cohn-Sfetcu, and A. M. Manof, IEEE Trans. Audio Electroacoust., AU-18, 389 (1970).

    Google Scholar 

  18. T. Inouye, T. Harper, and N. C. Rasmussen, Nucl. Instrum. Methods, 67, 125 (1969).

    Article  Google Scholar 

  19. D. W. Kirmse and A. W. Westerberg, Anal. Chem., 43, 1035 (1971).

    Article  CAS  Google Scholar 

  20. R. S. Singleton, IEEE Trans. Audio Electroacoust., AU-17, 166 (1969).

    Google Scholar 

  21. E. G. Codding and G. Horlick, Appi. Spectrosc., 27, 85 (1973).

    Article  CAS  Google Scholar 

  22. D. C. Champeney, “Fourier Transforms and Their Physical Applications,” Academic Press, London (1974).

    Google Scholar 

  23. C. W. Helstrom, “Statistical Theory of Signal Detection,” Pergamon Press, Oxford (1968).

    Google Scholar 

  24. G. L. Turin, IRE Trans. Information Theory, IT-6, 311 (1960).

    Google Scholar 

  25. W. L. Root, Proc. IEEE, 58, 610 (1970).

    Article  Google Scholar 

  26. G. Horlick, Anal. Chem., 45, 319 (1973).

    Article  CAS  Google Scholar 

  27. H. P. Yule, Anal. Chem., 44, 1245 (1972).

    Article  CAS  Google Scholar 

  28. H. Tominaga, M. Dojyo, and M. Tanaka, Nucl. Instrum. Methods, 98, 69 (1972).

    Article  CAS  Google Scholar 

  29. J. R. Morrey, Anal. Chem., 40, 905 (1968).

    Article  Google Scholar 

  30. J. P. Walters and H. V. Malmstadt, Appl. Spectrosc., 20, 193 (1966).

    Article  CAS  Google Scholar 

  31. A. E. Martin, Spectrochim. Acta, 14, 97 (1959).

    Article  Google Scholar 

  32. L. C. Allen, H. M. Gladney, and S. H. Glarum, J. Chem. Phys., 40, 3135 (1964).

    Article  CAS  Google Scholar 

  33. R. Bracewell, The Fourier Transform and Its Application, McGraw-Hill, New York (1965).

    Google Scholar 

  34. F. R. Stauffer and H. Sakai, Appl. opt., 7, 61 (1968).

    Article  CAS  Google Scholar 

  35. P. C. Kelly and G. Horlick, Anal. Chem., 45, 2130 (1974).

    Article  Google Scholar 

  36. R. Bracewell and J. A. Roberts, Austr. J. Phys., 7, 616 (1954).

    Article  Google Scholar 

  37. P. A. Jansson, R. H. Hunt, and E. K. Plyler, J. Opt. Soc. Am., 58, 1665 (1968).

    Article  CAS  Google Scholar 

  38. R. N. Jones, R. Venkataragharan, and J. W. Hopkens, Spectrochim. Acta, 23A, 925 (1967).

    Article  CAS  Google Scholar 

  39. J. R. Izatt, H. Sakai, and W. S. Benedict, J. Opt. Soc. Am., 59, 19 (1969).

    Article  CAS  Google Scholar 

  40. L. Moore, Br. J. Appt. Phys., 1 (2), 237 (1968).

    Google Scholar 

  41. B. D. Saksena, K. C. Agarwal, D. R. Pahwa, and M. M. Pradhan, Spectrochim. Acta, 24A, 1981 (1968).

    Article  Google Scholar 

  42. T. Vladimeroff, J. Chromatogr., 55, 175 (1971).

    Article  Google Scholar 

  43. J. Szoke, Chem. Phys. Lett., 15, 404 (1972).

    Article  CAS  Google Scholar 

  44. G. Horlick, Appi. Spectrosc., 26, 395 (1972).

    Article  CAS  Google Scholar 

  45. G. Brouwer and J. A. J. Jansen, Anal. Chem., 45, 2239 (1973).

    Article  CAS  Google Scholar 

  46. T. G. Stockham, Jr., T. M. Cannon, and R. B. Ingebretsen, Proc. IEEE, 63, 678 (1975).

    Article  Google Scholar 

  47. S. G. Rautian, Soy. Phys. Usp., 66 (1), 245 (1958).

    Google Scholar 

  48. W. W. Black, Nucl. Instrum. Methods, 71, 317 (1969).

    Article  Google Scholar 

  49. L. A. Powell and G. M. Hieftje, Anal. Chim. Acta., 100 (1978).

    Google Scholar 

  50. P. J. Jurs, B. R. Kowalski, T. L. Isenhour, and C. N. Reilley, Anal. Chem., 41, 691 (1969).

    Google Scholar 

  51. S. L. Grotch, Anal. Chem., 42, 1214 (1970).

    Article  Google Scholar 

  52. E. G. Codding and G. Horlick, Appi. Spectrosc., 27, 366 (1973).

    Article  CAS  Google Scholar 

  53. Y.-H. Pao and J. E. Griffiths, J. Chem. Phys., 46, 1671 (1967).

    Article  CAS  Google Scholar 

  54. Y.-H. Pao, R. N. Zitter, and J. E. Griffiths, J. Opt. Soc. Am., 56, 1133 (1966).

    Article  Google Scholar 

  55. J. E. Griffiths, Appi. Spectrosc., 5, 762 (1967).

    Google Scholar 

  56. J. E. Griffiths and Y.-H. Pao, J. Chem. Phys., 46, 1679 (1967).

    Article  CAS  Google Scholar 

  57. J. Cleary, J. Opt. Soc. Am., 57, 841 (1967).

    Article  Google Scholar 

  58. R. R. Alfano and N. Ockman, J. Opt. Soc. Am., 58, 90 (1968).

    Article  CAS  Google Scholar 

  59. R. Anderson and J. Cleary, J. Opt. Soc. Am., 60, 531 (1970).

    Article  Google Scholar 

  60. G. M. Hieftje, B. E. Holder, A. S. Maddux, Jr., and R. Lim, Anal. Chem., 45, 238 (1973).

    Article  CAS  Google Scholar 

  61. P. J. Garforth, Electron. Inst. Digest, 6 (8), 7 (1970).

    Google Scholar 

  62. Hewlett-Packard Journal, Vol. 21 (November 1969).

    Google Scholar 

  63. T. C. Farrar, Anal. Chem., 42 (4), 109A (1970).

    Article  Google Scholar 

  64. R. R. Ernst and W. A. Anderson, Rev. Sci. Instrum., 37, 93 (1966).

    Article  CAS  Google Scholar 

  65. R. R. Ernst, J. Magn. Reson., 3, 10 (1970).

    Article  Google Scholar 

  66. R. Kaiser, J. Magn. Reson., 3, 28 (1970).

    Article  CAS  Google Scholar 

  67. B. L. Tomlinson and H. D. W. Hill, J. Chem. Phys., 59, 1775 (1973).

    Article  CAS  Google Scholar 

  68. R. L. Birke, Anal. Chem., 43, 1253 (1971).

    Article  Google Scholar 

  69. H. Kojima and S. Fujiwara, Bull. Chem. Soc. Jpn., 44, 2158 (1971).

    Article  CAS  Google Scholar 

  70. S. C. Creason and D. E. Smith, J. Electroanal. Chem., 40, 1 (1972).

    Article  Google Scholar 

  71. S. C. Creason and D. E. Smith, Anal. Chem., 45, 2401 (1973).

    Article  CAS  Google Scholar 

  72. D. E. Glover and D. E. Smith, Anal. Chem., 45, 1869 (1973).

    Article  CAS  Google Scholar 

  73. S. C. Creason and D. E. Smith, Electroanal. Chem., 36, App 1 (1972).

    Google Scholar 

  74. E. Wolf, Jpn. J. Appt. Phys., 4 (Suppl 1), 1 (1965).

    Article  Google Scholar 

  75. H. Z. Cummins and H. L. Swinney, Light beating spectroscopy, in: Progress in Optics (E. Wolf, ed.), Vol. 8, p. 135, North-Holland, Amsterdam (1970).

    Google Scholar 

  76. B. J. Berne and R. Pecora, Annu. Rev. Phys. Chem., 25, 233 (1974).

    Article  CAS  Google Scholar 

  77. H. Z. Cummins and E. R. Pike, (eds.), Photon Correlation and Light Beating Spectroscopy, Plenum Press, New York(1974).

    Google Scholar 

  78. B. R. Ware and W. H. Flygare, Chem. Phys. Lett., 12, 81 (1971).

    Article  CAS  Google Scholar 

  79. B. R. Ware and W. H. Flygare, J. Colloid Interface Sci., 39, 670 (1972).

    Article  CAS  Google Scholar 

  80. E. E. Uzgiris, Opt. Commun., 6, 55 (1972).

    Article  Google Scholar 

  81. E. E. Uzgiris, Rev. Sci. Instrum., 45, 74 (1974).

    Article  Google Scholar 

  82. T. Tanaka and G. B. Benedek, Appl. Opt., 14, 189 (1975).

    CAS  Google Scholar 

  83. A. Ogata and K. Matsura, Rev. Sci. Instrum., 45, 1077 (1974).

    Article  Google Scholar 

  84. T. S. Durrani and C. A. Greated, Appl. Opt., 14, 778 (1975).

    Article  CAS  Google Scholar 

  85. P. N. Pusey, D. E. Koppel, P. W. Schaefer, R. D. Camerini-Otero, and S. H. Koenig, Biochemistry, 13, 952 (1974).

    Article  CAS  Google Scholar 

  86. B. A. Smith and B. R. Ware, In: Contemporary Topics in Analytical and Clinical Chemistry, Vol. 2 (D. Hercules, G. Hieftje, L. Snyder, and M. Evenson, eds.), p. 29 (1978).

    Google Scholar 

  87. D. Magde, E. Elson, and W. W. Webb, Phys. Rev. Lett., 29, 705 (1972).

    Article  CAS  Google Scholar 

  88. E. L. Elson and D. Magde, Biopolymers, 13, 1 (1974).

    Article  CAS  Google Scholar 

  89. D. Magde, E. Elson, and W. W. Webb, Biopolymers, 13, 29 (1974).

    Article  CAS  Google Scholar 

  90. G. Feher and M. Weissman, Proc. Natl. Acad. Sci. U.S.A., 70, 870 (1973).

    Article  CAS  Google Scholar 

  91. Y. Chen, J. Chem. Phys., 59, 5810 (1973).

    Article  CAS  Google Scholar 

  92. R. G. Gordon, J. Chem. Phys., 43, 1307 (1965).

    Article  Google Scholar 

  93. H. Shimizu, J. Chem. Phys., 43, 2453 (1965).

    Article  CAS  Google Scholar 

  94. J. F. Dill, T. A. Litovitz, and J. A. Bucaro, J. Chem. Phys., 62, 3839 (1975).

    Article  CAS  Google Scholar 

  95. D. T. Williams and B. L. Kolitz, Appt Opt., 7, 607 (1968).

    Article  CAS  Google Scholar 

  96. J. H. Davies, Anal. Chem., 42 (6), 101A (1970).

    Google Scholar 

  97. J. W. Strojek, D. Yates, and T. Kuwana, Anal. Chem., 47, 1050 (1975).

    Article  CAS  Google Scholar 

  98. H. Walter, Jr., and D. Flanigan, Appl. Opt., 14, 1423 (1975).

    Article  CAS  Google Scholar 

  99. R. Dick and G. Levy, in: Aspen International Conference on Fourier Spectroscopy, 1970 (G. A. Vanasse, A. T. Stair, Jr., and D. J. Baker, eds.), Air Force Cambridge Research Laboratories, Special Report, No. 114 (available from the National Technical Information Service) (1971).

    Google Scholar 

  100. R. Annino and L. E. Bullock, Anal. Chem., 45, 1221 (1973).

    Article  CAS  Google Scholar 

  101. G. L. Miller, J. V. Ramirey, D. A. H. Robinson, J. Appl. Phys., 46, 2638 (1975).

    Article  CAS  Google Scholar 

  102. P. C. Kelly and G. Horlick, Anal. Chem., 45, 518 (1973).

    Article  CAS  Google Scholar 

  103. R. Ramirez, Electronics, 48 (13), 98 (1975).

    Google Scholar 

  104. G. Dulaney, Anal. Chem., 47, 24A (1975).

    Google Scholar 

  105. G. Horlick and K. R. Betty, Anal. Chem., 47, 363 (1975).

    Article  CAS  Google Scholar 

  106. N. E. Korte and M. B. Denton, Chem. Instrum., 5 (1), 33 (1973).

    Article  CAS  Google Scholar 

  107. P. H. Daum and P. Zamie, Anal. Chem., 46, 1347 (1974).

    Article  CAS  Google Scholar 

  108. J. G. Ables, B. F. C. Cooper, A. J. Hunt, G. G. Morrey, and J. W. Brook, Rev. Sci. Instrum., 46, 269 (1975).

    Article  Google Scholar 

  109. M. Corti, A. DeAgostini, and V. Degiorgio, Rev. Sci. Instrum., 45, 888 (1974).

    Article  CAS  Google Scholar 

  110. R. W. Wijnaendts van Resandt, Rev. Sci. Instrum., 45, 1507 (1974).

    Article  Google Scholar 

  111. A. L. Gray, F. R. Hallett, and A. Rae, J. Phys. E., Sci. Instrum., 8, 501 (1975).

    Article  Google Scholar 

  112. Z. Kam, H. B. Shore, and G. Feher, Rev. Sci. Instrum., 46, 269 (1975).

    Article  CAS  Google Scholar 

  113. Y. Talmi, Anal. Chem., 47, 697A (1975).

    Google Scholar 

  114. G. Horlick and E. G. Codding, Anal. Chem., 45, 1749 (1973).

    Article  CAS  Google Scholar 

  115. S. Minami, S. Tsutsui, and H. Onoda, Appl. Opt., 8, 1217 (1969).

    Article  CAS  Google Scholar 

  116. W. S. Boyle and G. E. Smith, Bell Syst. Tech. J., 49, 587 (1970).

    Google Scholar 

  117. J. J. Tiemann, W. E. Engeler, R. D. Baertsch, and D. M. Brown, Electronics, 47 (23), 113 (1974).

    Google Scholar 

  118. H. F. Beny and C. Husson, Proc. IEEE, 63, 822 (1975).

    Article  Google Scholar 

  119. O. Menager and B. Desormiere, Appl. Phys. Lett., 27, 1 (1975).

    Article  Google Scholar 

  120. T. M. Reeder and M. Gilden, Appl. Phys. Lett., 22, 8 (1973).

    Article  Google Scholar 

  121. W. S. Jones, R. A. Kempf, and C. S. Hartmann, Microwave J., 15 (5), 43 (1972).

    Google Scholar 

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Authors and Affiliations

  1. Department of Chemistry, University of Alberta, Edmonton, Alberta, Canada, T6G 2G2

    Gary Horlick

  2. Department of Chemistry, Indiana University, Bloomington, Indiana, 47401, USA

    Gary M. Hieftje

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  1. Gary Horlick
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  2. Gary M. Hieftje
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Editors and Affiliations

  1. University of Pittsburgh, Pittsburgh, Pennsylvania, USA

    David M. Hercules

  2. Indiana University, Bloomington, Indiana, USA

    Gary M. Hieftje

  3. Technicon Instruments Corporation, Tarrytown, New York, USA

    Lloyd R. Snyder

  4. University of Wisconsin, Madison, Wisconsin, USA

    Merle A. Evenson

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Horlick, G., Hieftje, G.M. (1978). Correlation Methods in Chemical Data Measurement. In: Hercules, D.M., Hieftje, G.M., Snyder, L.R., Evenson, M.A. (eds) Contemporary Topics in Analytical and Clinical Chemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6734-9_4

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  • DOI: https://doi.org/10.1007/978-1-4615-6734-9_4

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