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We present a new approach to the old problem of how to incorporate the role of the observer in statistics. We show classical probability theory to be inadequate for this task and take refuge in the epsilon-model, which is the only model known to us capable of handling situations between quantum and classical statistics. An example is worked out and some(More)
—Amutual information based approach for the analysis of signals obtained by nuclear quadrupole resonance (NQR) measurements to detect TNT content is proposed. We apply the method to real NQR data obtained under laboratory conditions and compare ROC curves for the presented method with those of the popular demodulation technique and the matchedlter detector.(More)
To minimize the risks involved in humanitarian demining requires a sensitivity setting close to unity, resulting in a very high false alarm rate. Nuclear quadrupole resonance detection, based on the spin echoes from nuclear spin relaxation, is a promising example of a highly specific detector that directly addresses the properties of the explosive rather(More)
In a former contribution [1] we proposed the idea that both in quantum mechanics as well as in signal analysis, the mathematical framework is best understood as arising from the necessity to combine various, sometimes incompatible, measurements into a single state of the entity under investigation. In this paper we investigate the physical basic settings(More)
We propose a simple abstract formalisation of the act of observation, in which the system and the observer are assumed to be in a pure state and their interaction deterministically changes the states such that the outcome can be read from the state of the observer after the interaction. If the observer consistently realizes the outcome which maximizes the(More)
The scientific fields of quantum mechanics and signal-analysis originated within different settings, aimed at different goals and started from different scientific paradigms. Yet the development of the two subjects has become increasingly intertwined. We argue that these similarities are rooted in the fact that both fields of scientific inquiry had to deal(More)
A property of a system is called actual, if the observation of the test that pertains to that property, yields an affirmation with certainty. We formalize the act of observation by assuming that the outcome correlates with the state of the observed system and is codified as an actual property of the state of the observer at the end of the measurement(More)
Sven Aerts , Dirk Aerts1;y, Franklin Schroeck2;z, and Jügen Sachs 1 Centre for interdisciplinairy studie CLEA, FUND Department of Mathematics, Vrije Universiteit Brussel, Triom‡aan 2, 1050 Brussel, Belgium 2 Department of Mathematics, John Greene Hall, 2360 S. Gaylord St., University of Denver, Denver, USA and Electronic Measurement Lab, Technische(More)