4,808 research outputs found
Signal acquisition via polarization modulation in single photon sources
A simple model system is introduced for demonstrating how a single photon
source might be used to transduce classical analog information. The theoretical
scheme results in measurements of analog source samples that are (i) quantized
in the sense of analog-to-digital conversion and (ii) corrupted by random noise
that is solely due to the quantum uncertainty in detecting the polarization
state of each photon. This noise is unavoidable if more than one bit per sample
is to be transmitted, and we show how it may be exploited in a manner inspired
by suprathreshold stochastic resonance. The system is analyzed information
theoretically, as it can be modeled as a noisy optical communication channel,
although unlike classical Poisson channels, the detector's photon statistics
are binomial. Previous results on binomial channels are adapted to demonstrate
numerically that the classical information capacity, and thus the accuracy of
the transduction, increases logarithmically with the square root of the number
of photons, N. Although the capacity is shown to be reduced when an additional
detector nonideality is present, the logarithmic increase with N remains.Comment: 7 pages, 2 figures, accepted by Physical Review E. This version adds
a referenc
Channel noise induced stochastic facilitation in an auditory brainstem neuron model
Neuronal membrane potentials fluctuate stochastically due to conductance
changes caused by random transitions between the open and close states of ion
channels. Although it has previously been shown that channel noise can
nontrivially affect neuronal dynamics, it is unknown whether ion-channel noise
is strong enough to act as a noise source for hypothesised noise-enhanced
information processing in real neuronal systems, i.e. 'stochastic
facilitation.' Here, we demonstrate that biophysical models of channel noise
can give rise to two kinds of recently discovered stochastic facilitation
effects in a Hodgkin-Huxley-like model of auditory brainstem neurons. The
first, known as slope-based stochastic resonance (SBSR), enables phasic neurons
to emit action potentials that can encode the slope of inputs that vary slowly
relative to key time-constants in the model. The second, known as inverse
stochastic resonance (ISR), occurs in tonically firing neurons when small
levels of noise inhibit tonic firing and replace it with burst-like dynamics.
Consistent with previous work, we conclude that channel noise can provide
significant variability in firing dynamics, even for large numbers of channels.
Moreover, our results show that possible associated computational benefits may
occur due to channel noise in neurons of the auditory brainstem. This holds
whether the firing dynamics in the model are phasic (SBSR can occur due to
channel noise) or tonic (ISR can occur due to channel noise).Comment: Published by Physical Review E, November 2013 (this version 17 pages
total - 10 text, 1 refs, 6 figures/tables); Associated matlab code is
available online in the ModelDB repository at
http://senselab.med.yale.edu/ModelDB/ShowModel.asp?model=15148
Distance Distributions for Real Cellular Networks
This paper presents the general distribution for the distance between a
mobile user and any base station (BS). We show that a random variable
proportional to the distance squared is Gamma distributed. In the case of the
nearest BS, it can be reduced to the well established result of the distance
being Rayleigh distributed. We validate our results using a random node
simulation and real Vodafone 3G network data, and go on to show how the
distribution is tractable by deriving the average aggregate interference power.Comment: 2 pages, 1 figure, IEEE Conference on Computer Communications
(INFOCOM
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