1,838 research outputs found
Innovation Rate Sampling of Pulse Streams with Application to Ultrasound Imaging
Signals comprised of a stream of short pulses appear in many applications
including bio-imaging and radar. The recent finite rate of innovation
framework, has paved the way to low rate sampling of such pulses by noticing
that only a small number of parameters per unit time are needed to fully
describe these signals. Unfortunately, for high rates of innovation, existing
sampling schemes are numerically unstable. In this paper we propose a general
sampling approach which leads to stable recovery even in the presence of many
pulses. We begin by deriving a condition on the sampling kernel which allows
perfect reconstruction of periodic streams from the minimal number of samples.
We then design a compactly supported class of filters, satisfying this
condition. The periodic solution is extended to finite and infinite streams,
and is shown to be numerically stable even for a large number of pulses. High
noise robustness is also demonstrated when the delays are sufficiently
separated. Finally, we process ultrasound imaging data using our techniques,
and show that substantial rate reduction with respect to traditional ultrasound
sampling schemes can be achieved.Comment: 14 pages, 13 figure
Multichannel Sampling of Pulse Streams at the Rate of Innovation
We consider minimal-rate sampling schemes for infinite streams of delayed and
weighted versions of a known pulse shape. The minimal sampling rate for these
parametric signals is referred to as the rate of innovation and is equal to the
number of degrees of freedom per unit time. Although sampling of infinite pulse
streams was treated in previous works, either the rate of innovation was not
achieved, or the pulse shape was limited to Diracs. In this paper we propose a
multichannel architecture for sampling pulse streams with arbitrary shape,
operating at the rate of innovation. Our approach is based on modulating the
input signal with a set of properly chosen waveforms, followed by a bank of
integrators. This architecture is motivated by recent work on sub-Nyquist
sampling of multiband signals. We show that the pulse stream can be recovered
from the proposed minimal-rate samples using standard tools taken from spectral
estimation in a stable way even at high rates of innovation. In addition, we
address practical implementation issues, such as reduction of hardware
complexity and immunity to failure in the sampling channels. The resulting
scheme is flexible and exhibits better noise robustness than previous
approaches
Radial and angular rotons in trapped dipolar gases
We study Bose-Einstein condensates with purely dipolar interactions in oblate
(pancake) traps. We find that the condensate always becomes unstable to
collapse when the number of particles is sufficiently large. We analyze the
instability, and find that it is the trapped-gas analogue of the
``roton-maxon'' instability previously reported for a gas that is unconfined in
two dimensions. In addition, we find that under certain circumstances, the
condensate wave function attains a biconcave shape, with its maximum density
away from the center of the gas. These biconcave condensates become unstable
due to azimuthl excitation - an angular roton.Comment: 4 pages, 3 figure
Bell’s Inequalities for Particles of Arbitrary Spin in Fixed Analyzers
We propose a new set of observables for experiments on entangled particles of arbitrarily large spin that produce significant Clauser-Horne-Shimony-Holt inequality violations for fixed analyzer settings over a wider range of spins than was previously possible. These observables are better suited for experiments where analyzer orientations must be chosen before the spin of the entangled particles is known, such as experiments using polarization entangled downconverted photons
Dipolar Bose gases: Many-body versus mean-field description
We characterize zero-temperature dipolar Bose gases under external spherical
confinement as a function of the dipole strength using the essentially exact
many-body diffusion Monte Carlo (DMC) technique. We show that the DMC energies
are reproduced accurately within a mean-field framework if the variation of the
s-wave scattering length with the dipole strength is accounted for properly.
Our calculations suggest stability diagrams and collapse mechanisms of dipolar
Bose gases that differ significantly from those previously proposed in the
literature
N=2 Moduli Spaces and N=1 Dualities for SO(n_c) and USp(2n_c) SuperQCD
We determine the exact global structure of the moduli space of
supersymmetric and \USp(2n) gauge theories with matter
hypermultiplets in the fundamental representations, using the
non-renormalization theorem for the Higgs branches and the exact solutions for
the Coulomb branches. By adding an --breaking mass term for the
adjoint chiral field and varying the mass, the theories can be made to
flow to either an ``electric'' supersymmetric QCD or its dual
``magnetic'' version. We thus obtain a derivation of the dualities of
Seiberg.Comment: 20 pages, harvmac (b
A-Model Correlators from the Coulomb Branch
We compute the contribution of discrete Coulomb vacua to A-Model correlators
in toric Gauged Linear Sigma Models. For models corresponding to a compact
variety, this determines the correlators at arbitrary genus. For non-compact
examples, our results imply the surprising conclusion that the quantum
cohomology relations break down for a subset of the correlators.Comment: 27 pages, 1 xy-pic figur
Dipolar Bose-Einstein condensates with dipole-dependent scattering length
We consider a Bose-Einstein condensate of polar molecules in a harmonic trap,
where the effective dipole may be tuned by an external field. We demonstrate
that taking into account the dependence of the scattering length on the dipole
moment is essential to reproducing the correct energies and for predicting the
stability of the condensate. We do this by comparing Gross-Pitaevskii
calculations with diffusion Monte Carlo calculations. We find very good
agreement between the results obtained by these two approaches once the dipole
dependence of the scattering length is taken into account. We also examine the
behavior of the condensate in non-isotropic traps
SPREADSHEET ANALYSIS AND DESIGN
Spreadsheet programs and microcomputers have revolutionized
information processing in organizations. Users have adopted
spreadsheets to solve problems and circumvent the long
delays encountered in dealing with the traditional
information services department. A significant number of
serious errors have been reported through the misuse of
spreadsheet technology. This paper discusses several
different contexts for the development of spreadsheet models
and presents structured design techniques for these models.
The recommended approach to spreadsheet analysis and design
encourages the use of a block structure format for the
worksheet and introduces Spreadsheet Flow Diagrams as a
systems design tool. The objective of this design approach
is to reduce the probability and severity of spreadsheet
errors, improve auditability and promote greater longevity
for spreadsheet models.Information Systems Working Papers Serie
How Does a Dipolar Bose-Einstein Condensate Collapse?
We emphasize that the macroscopic collapse of a dipolar Bose-Einstein
condensate in a pancake-shaped trap occurs through local density fluctuations,
rather than through a global collapse to the trap center. This hypothesis is
supported by a recent experiment in a chromium condensate.Comment: Proceedings of 17th International Laser Physics Worksho
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