Method and apparatus for the deconvolution of unresolved data

Radiant energy – Ionic separation or analysis

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250282, H01J 4900

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052471756

ABSTRACT:
The method and apparatus of the present invention detects and records a convolved series of impulses, and then mathematically extracts the intensity and position of each impulse using least squares with the constraint that the impulses are spaced with a constant interval and that the instrument's response to a single impulse is known. This constraint allows the expression of the problem in a form which is amenable to rapid solution in a mathematically robust manner that is tolerant to noise.

REFERENCES:
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"A Quantitative Evaluation of Various Iterative Deconvolution Algorithms," by Paul B. Crilly, IEEE Transactions on Instrumentation and Measurement, vol. 40, No. 3, (Jun. 1991) 558-562.
"Iterative and Function-Continuation Fourier Deconvolution Methods for Enhancing Mass Spectrometer Resolution," by Juliette W. Ioup, et al., International Journal of Mass Spectrometry and Ion Processes, 55 (1983/1984) 93-109.
"The Regularized Inverse Convolution Approach to resolving Overlapping Mass Spectral Peaks" by V. V. Raznikov, et al., International Journal of Mass Spectrometry and Ion Processes, 103 (1991) 67-79.
"A Technique for the Evaluation of Signal Enhancement with Application to Gamma Ray Spectra," by T. J. Kennett, et al., Nuclear Instruments and Methods in Physics Research A239 (1985) 260-268.
"Self Modeling Curve Resolution," by William H. Lawton, et al., Technometrics, vol. 13, No. 3, (Aug. 1971) 617-633.
"Quantitative Resolution of Fused Chromatographic Peaks in Gas Chromatography/Mass Spectrometry," by M. A. Sharaf, et al., Analytical Chemistry, vol. 54, No. 8, (Jul. 1982) 1291-1296.

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