Frequency domain source localization shows state-dependent diazepam effects in 47-channel EEG

1995 ◽  
Vol 99 (1-3) ◽  
pp. 157-171 ◽  
Author(s):  
C. M. Michel ◽  
R. D. Pascual-Marqui ◽  
W. K. Strik ◽  
T. Koenig ◽  
D. Lehmann
Keyword(s):  
Frequency Domain ◽  
Source Localization ◽  
State Dependent ◽  
Domain Source

Transient Free-Surface Hydrodynamics Using Rational Approximation of the Green’s Function

1999 ◽  
Vol 43 (02) ◽  
pp. 95-106 ◽  
Author(s):  
Christopher J. Damaren
Keyword(s):  
Free Surface ◽  
Frequency Domain ◽  
Source Function ◽  
The Body ◽  
Floating Body ◽  
Order Ordinary Differential Equation ◽  
Radiation Impedance ◽  
Rational Dependence ◽  
The Time Domain ◽  
Domain Source

Rational approximations in the frequency domain are developed for the source function of linear free-surface hydrodynamics using the recently uncovered fourth-order ordinary differential equation (ODE) satisfied by the time-domain source function. The radiation problem for a floating body in deep water is formulated using a source plus wave-free potential expansion for the fluid. The inherent rational dependence on frequency of the wave-free potentials as well as the source approximation are used to develop a system of constant-coefficient ODE's for the radiation impedance which can be used to develop the motion of the body in a simple manner. The technique is applied to the heaving motion of a floating sphere with good results. The application to more general body geometries is explored by formulating the frequency-domain problem using the variational principle of Chen and Mei and exploiting its polynomial dependence on frequency.

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