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Improvements of Quantitation by Using the Cadzow Enhancement Procedure Prior to Any Linear-Prediction Methods

✍ Scribed by A. Diop; Y. Zaimwadghiri; A. Briguet; D. Graverondemilly


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
432 KB
Volume
105
Category
Article
ISSN
1064-1866

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✦ Synopsis


Improvements of the Cadzow enhancement procedure (EP) are reported. A numerical study showed that once EP has properly converged, it results in a near-optimum signal fitting the noisy data in the least-squares sense. At convergence, the estimated signal involves purely exponentially damped sinusoids; then any linear-prediction methods can be used indifferently in the subsequent quantitation step. Moreover, this final step needs only a few samples. Amplitude estimates have negligible bias even for low SNR and their standard deviations are nearly equal to their Cramer-Rao lower bounds. This is illustrated in a Monte Carlo simulation and an in vitro study using three different SVDbased quantitation methods (LPSVD, HSVD, TLS). EP used prior to any linear-prediction methods leads to an important reduction of the threshold SNR and results in near-optimal (a u) tomatic quantitation methods. ci 1994 Academic Press, Inc.