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Least Squares Methods of Analysis

II. Convolution and Data Optimization

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Part of the book series: NATO Advanced Science Institutes Series ((NSSA,volume 69))

Abstract

In the first two contributions we have discussed the collection of single-photon decay data, which has been assumed undistorted by the excitation pulse — the assumption of a delta-pulse excitation. However, for decay times comparable in time-length to the excitation pulse this assumption is untrue, and we have an experimental result which is a convolution of the excitation pulse with the true decay function. The trick is then to extract the true decay from the experiment by using the excitation profile.

‘The truth, the whole truth and nothing but the truth... Beyond reasonable doubt... On the balance of probabilities ... Maybe’.

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References

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© 1983 Springer Science+Business Media New York

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Selinger, B.K., Harris, C.M., Kallir, A.J. (1983). Least Squares Methods of Analysis. In: Cundall, R.B., Dale, R.E. (eds) Time-Resolved Fluorescence Spectroscopy in Biochemistry and Biology. NATO Advanced Science Institutes Series, vol 69. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1634-4_8

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  • DOI: https://doi.org/10.1007/978-1-4757-1634-4_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1636-8

  • Online ISBN: 978-1-4757-1634-4

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