TR2016062
Multiexponential Lifetime Extraction in Timelogarithmic Scale

 "Multiexponential Lifetime Extraction in Timelogarithmic Scale", Industrial Conference on Data Mining (ICDM), DOI: 10.1007/9783319415611_21, July 2016, vol. 9728, pp. 282296.BibTeX TR2016062 PDF
 @inproceedings{Knyazev2016jul2,
 author = {Knyazev, Andrew and Gao, Qun and Teo, Koon Hoo},
 title = {Multiexponential Lifetime Extraction in Timelogarithmic Scale},
 booktitle = {Industrial Conference on Data Mining (ICDM)},
 year = 2016,
 volume = 9728,
 pages = {282296},
 month = jul,
 doi = {10.1007/9783319415611_21},
 url = {https://www.merl.com/publications/TR2016062}
 }
,
 "Multiexponential Lifetime Extraction in Timelogarithmic Scale", Industrial Conference on Data Mining (ICDM), DOI: 10.1007/9783319415611_21, July 2016, vol. 9728, pp. 282296.

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Abstract:
Methods are proposed for estimating real lifetimes and corresponding coefficients from realvalued measurement data in logarithmic scale, where the data are multiexponential, i.e. represented by linear combinations of decaying exponential functions with various lifetimes. Initial approximations of lifetimes are obtained as peaks of the first derivative of the data, where the first derivative can, e.g, be calculated in the spectral domain using the cosine Fourier transform. The coefficients corresponding to lifetimes are then estimated using the linear least squares fitting. Finally, all the coefficients and the lifetimes are optimized using the values previously obtained as initial approximations in the nonlinear least squares fitting. We can fit both the data curve and its first derivative and allow simultaneous analysis of multiple curves.