Estimation of the Mean and the Autocorrelation Function

Author(s):  
Klaus Neusser
2013 ◽  
Vol 46 (3) ◽  
pp. 788-790 ◽  
Author(s):  
Andreas Michels ◽  
Jens-Peter Bick

Real-space magnetic small-angle neutron scattering data from nanocrystalline cobalt and nickel have been analysed in terms of a recently developed micromagnetic theory for the autocorrelation function of the spin misalignment [Michels (2010).Phys. Rev. B,82, 024433]. The approach provides information on the exchange-stiffness constant and on the mean magnetic `anisotropy-field' radius.


1968 ◽  
Vol 46 (20) ◽  
pp. 2315-2319 ◽  
Author(s):  
V. F. Sears

The fundamental vibrational band of the pressure-induced infrared spectrum of hydrogen in room-temperature helium gas (compressed to twice the density of the normal liquid) is analyzed to determine the force autocorrelation function and, hence, the velocity autocorrelation function and the mean square displacement of a hydrogen molecule as a function of time. The initial curvature of the force autocorrelation function, extrapolated to zero density, yields a value 0.087 for the ratio ρ/σ where ρ is the range of the repulsive core of the intermolecular potential and σ is the diameter of this core. Moment relations, which enable one to determine the parameters in a model introduced recently by Van Kranen-donk, are derived for the force autocorrelation function.


Frequenz ◽  
2012 ◽  
Vol 66 (9-10) ◽  
Author(s):  
Ziad Khalaf ◽  
Jacques Palicot

AbstractBased on the sparse property of the Cyclic Autocorrelation Function (CAF) in the cyclic frequency domain, we propose in this paper a new blind estimator using compressed sensing, which better estimates the Cyclic Autocorrelation Function at a given delay compared to the classical non blind estimator when using the same number of samples. Two metrics are used to evaluate this estimation: the Mean Square Error of type one and that of type two (


2016 ◽  
Vol 38 ◽  
pp. 372
Author(s):  
Lilian Piecha Moor ◽  
Gervásio Annes Degrazia ◽  
Michel Stefanello ◽  
Luca Mortarini ◽  
Otávio Costa Acevedo ◽  
...  

The looping parameter m is the main value to characterize the meandering phenomenon. This parameter is relationship with negative lobes in the observed autocorrelation function generated from components of horizontal speed. In this work, we present a study comparing the mean values of the looping parameter between 2 diverse sites in the Brazilian sector.


1971 ◽  
Vol 46 ◽  
pp. 129-141
Author(s):  
D. Hegyi ◽  
R. Novick ◽  
P. Thaddeus

A search for short-time variability of NP 0532 using the 82 and 107 in. telescopes at McDonald Observatory is described. Observations were made of the mean intensity, the mean square of the intensity and the mean autocorrelation function of the pulsar light. Limits are placed on the variability of the optical pulsar.


1966 ◽  
Vol 24 ◽  
pp. 170-180
Author(s):  
D. L. Crawford

Early in the 1950's Strömgren (1, 2, 3, 4, 5) introduced medium to narrow-band interference filter photometry at the McDonald Observatory. He used six interference filters to obtain two parameters of astrophysical interest. These parameters he calledlandc, for line and continuum hydrogen absorption. The first measured empirically the absorption line strength of Hβby means of a filter of half width 35Å centered on Hβand compared to the mean of two filters situated in the continuum near Hβ. The second index measured empirically the Balmer discontinuity by means of a filter situated below the Balmer discontinuity and two above it. He showed that these two indices could accurately predict the spectral type and luminosity of both B stars and A and F stars. He later derived (6) an indexmfrom the same filters. This index was a measure of the relative line blanketing near 4100Å compared to two filters above 4500Å. These three indices confirmed earlier work by many people, including Lindblad and Becker. References to this earlier work and to the systems discussed today can be found in Strömgren's article inBasic Astronomical Data(7).


1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.


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