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Optical Engineering

Optimal recovery of signal parameters from a few samples: one- and two-dimensional applications
Author(s): Vasile V. Buzuloiu; Marius Malciu; Viorel George Popescu; Constantin Vertan
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Paper Abstract

The results of some previous work describing a method for fast and precise recovery of the parameters of a signal from a few samples are discussed and extended. The method introduces the representation of the signal in the space of its samples and, through it, it derives a procedure for computing a parameter as a piecewise linear quasi-invariant of the representative manifold of the signal. The method originated in an application from high energy physics where the localization and the amplitude of a pulse must be determined from its samples. The pulse shape was supposed to be known but real-time processing (tens of nanoseconds) and high precision were imposed; linear processing could not fit the demands. We succeeded in obtaining an order of magnitude better precision than the linear processing concomitantly keeping the computation compatible with the real-time processing demands. This problem is of larger interest in measuring systems. Next we extended the algorithms to images, namely, for precisely determining the movement of an object in a series of images, or for super-resolution.

Paper Details

Date Published: 1 June 1996
PDF: 7 pages
Opt. Eng. 35(6) doi: 10.1117/1.601123
Published in: Optical Engineering Volume 35, Issue 6
Show Author Affiliations
Vasile V. Buzuloiu, Polytehnica Univ. of Bucharest (Romania)
Marius Malciu, Polytehnica Univ. of Bucharest (France)
Viorel George Popescu, Polytehnica Univ. of Bucharest (Romania)
Constantin Vertan, Univ. Politehnica Bucuresti (Romania)

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