184,038 research outputs found
Timing jitter in photon detection by straight superconducting nanowires: Effect of magnetic field and photon flux
We studied the effect of the external magnetic field and photon flux on
timing jitter in photon detection by straight superconducting NbN nanowires. At
two wavelengths 800 and 1560 nm, statistical distribution in the appearance
time of the photon count exhibits Gaussian shape at small times and exponential
tail at large times. The characteristic exponential time is larger for photons
with smaller energy and increases with external magnetic field while variations
in the Gaussian part of the distribution are less pronounced. Increasing photon
flux drives the nanowire from quantum detection mode to the bolometric mode
that averages out fluctuations of the total number of nonequilibrium electrons
created by the photon and drastically reduces jitter. The difference between
Gaussian parts of distributions for these two modes provides the measure for
the electron-number fluctuations. Corresponding standard deviation increases
with the photon energy. We show that the two-dimensional hot-spot detection
model explains qualitatively the effect of magnetic field
Active Search with a Cost for Switching Actions
Active Sequential Hypothesis Testing (ASHT) is an extension of the classical
sequential hypothesis testing problem with controls. Chernoff (Ann. Math.
Statist., 1959) proposed a policy called Procedure A and showed its asymptotic
optimality as the cost of sampling was driven to zero. In this paper we study a
further extension where we introduce costs for switching of actions. We show
that a modification of Chernoff's Procedure A, one that we call Sluggish
Procedure A, is asymptotically optimal even with switching costs. The growth
rate of the total cost, as the probability of false detection is driven to
zero, and as a switching parameter of the Sluggish Procedure A is driven down
to zero, is the same as that without switching costs.Comment: 8 pages. Presented at 2015 Information Theory and Applications
Worksho
Adaptive sensing performance lower bounds for sparse signal detection and support estimation
This paper gives a precise characterization of the fundamental limits of
adaptive sensing for diverse estimation and testing problems concerning sparse
signals. We consider in particular the setting introduced in (IEEE Trans.
Inform. Theory 57 (2011) 6222-6235) and show necessary conditions on the
minimum signal magnitude for both detection and estimation: if is a sparse vector with non-zero components then it
can be reliably detected in noise provided the magnitude of the non-zero
components exceeds . Furthermore, the signal support can be exactly
identified provided the minimum magnitude exceeds . Notably
there is no dependence on , the extrinsic signal dimension. These results
show that the adaptive sensing methodologies proposed previously in the
literature are essentially optimal, and cannot be substantially improved. In
addition, these results provide further insights on the limits of adaptive
compressive sensing.Comment: Published in at http://dx.doi.org/10.3150/13-BEJ555 the Bernoulli
(http://isi.cbs.nl/bernoulli/) by the International Statistical
Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm
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