The use of two to four magnetometers in airborne magnetic surveys is becoming more frequent, allowing for the observation of the total-field as well as its horizontal gradients (Redford, et al., 2006). There are advantages to these data types because of the increased and complementary information content in them. Yet little has been done to take full advantage of these data beyond simple enhanc...

An inverse scattering approach based on the field equivalence principle is developed for reconstructing the parameters of the medium of a scattering object. A problem equivalent to the original scattering problem but internal to the measurement surface is set up. The equivalent surface currents determined by the measured total-field data rigorously yield the incident fields in the region under ...

We consider infinite-dimensional linear systems without a-priori wellposedness assumptions, in a framework based on the works of M. Livšic, M. S. Brodskĭı, Y. L. Smuljan, and others. We define the energy in the system as the norm of the state squared (other, possibly indefinite quadratic forms will also be considered). We derive a number of equivalent conditions for a linear system to be energy...

CRONE control, robust control methodology based on fractional differentiation, is applied to state observer design. State observation can indeed be viewed as a regulation problem given that the goal of a state observer is to cancel the observation errors in spite of measurement noises, disturbances and plant perturbations. This conclusion has been used recently to define a new class of state ob...

The purpose of this study was to examine the variability in cortical activation during physical air-rifle shooting and three different observation conditions. Elite air-rifle shooters performed a 40 shot individual match. Electroencephalograms were recorded from 11 active sites across the cortex during the final 6 s (3 x 2 s epochs) before shot release. Data collection was repeated while shoote...

We consider a sensor scheduling problem for estimating multiple independent Gaussian random variables under an energy constraint. The sensor measurements are described by a linear observation model; the observation noise is assumed to be Gaussian. We formulate this problem as a stochastic sequential allocation problem. Due to the Gaussian assumption and the linear observation model, this proble...

We propose a computational theory of internal-state estimation for others, which is the basis of information processing in human communication. To estimate internal states of the other equivalent to the self, we have to deal with two substantial difficulties, restriction of the estimator’s parameter dimension and conversion between objective and subjective information. The proposed computationa...

We develop and carry out Monte Carlo simulations for an ensemble of superparamagnetic particles uniformly distributed in a nonmagnetic matrix. We find the magnetization below the blocking temperature TB when it shows hysteresis and above TB in the superparamagnetic region. We determine the blocking temperature for a set of anisotropy strengths from the magnetization and the susceptibility of th...