1,451 research outputs found
Interference Networks with Point-to-Point Codes
The paper establishes the capacity region of the Gaussian interference
channel with many transmitter-receiver pairs constrained to use point-to-point
codes. The capacity region is shown to be strictly larger in general than the
achievable rate regions when treating interference as noise, using successive
interference cancellation decoding, and using joint decoding. The gains in
coverage and achievable rate using the optimal decoder are analyzed in terms of
ensemble averages using stochastic geometry. In a spatial network where the
nodes are distributed according to a Poisson point process and the channel path
loss exponent is , it is shown that the density of users that can be
supported by treating interference as noise can scale no faster than
as the bandwidth grows, while the density of users can scale
linearly with under optimal decoding
The Kepler Light Curves of AGN: A Detailed Analysis
We present a comprehensive analysis of 21 light curves of Type 1 AGN from the
Kepler spacecraft. First, we describe the necessity and development of a
customized pipeline for treating Kepler data of stochastically variable sources
like AGN. We then present the light curves, power spectral density functions
(PSDs), and flux histograms. The light curves display an astonishing variety of
behaviors, many of which would not be detected in ground-based studies,
including switching between distinct flux levels. Six objects exhibit PSD
flattening at characteristic timescales which roughly correlate with black hole
mass. These timescales are consistent with orbital timescales or freefall
accretion timescales. We check for correlations of variability and
high-frequency PSD slope with accretion rate, black hole mass, redshift and
luminosity. We find that bolometric luminosity is anticorrelated with both
variability and steepness of the PSD slope. We do not find evidence of the
linear rms-flux relationships or lognormal flux distributions found in X-ray
AGN light curves, indicating that reprocessing is not a significant contributor
to optical variability at the 0.1-10% level.Comment: 39 pages including 2 appendices. Accepted for Publication in the
Astrophysical Journal, with higher resolution figure
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