23,352 research outputs found
Blind Normalization of Speech From Different Channels
We show how to construct a channel-independent representation of speech that
has propagated through a noisy reverberant channel. This is done by blindly
rescaling the cepstral time series by a non-linear function, with the form of
this scale function being determined by previously encountered cepstra from
that channel. The rescaled form of the time series is an invariant property of
it in the following sense: it is unaffected if the time series is transformed
by any time-independent invertible distortion. Because a linear channel with
stationary noise and impulse response transforms cepstra in this way, the new
technique can be used to remove the channel dependence of a cepstral time
series. In experiments, the method achieved greater channel-independence than
cepstral mean normalization, and it was comparable to the combination of
cepstral mean normalization and spectral subtraction, despite the fact that no
measurements of channel noise or reverberations were required (unlike spectral
subtraction).Comment: 25 pages, 7 figure
On isoperimetric profiles of product spaces
Let p ∈ [1,+∞]. Given the Lp-isoperimetric profile of two non-compact Riemannian manifolds M and N, we compute the Lp-isoperimetric profile of the product M×N
Fluctuation-Driven Molecular Transport in an Asymmetric Membrane Channel
Channel proteins, that selectively conduct molecules across cell membranes,
often exhibit an asymmetric structure. By means of a stochastic model, we argue
that channel asymmetry in the presence of non-equilibrium fluctuations, fueled
by the cell's metabolism as observed recently, can dramatically influence the
transport through such channels by a ratchet-like mechanism. For an
aquaglyceroporin that conducts water and glycerol we show that a previously
determined asymmetric glycerol potential leads to enhanced inward transport of
glycerol, but for unfavorably high glycerol concentrations also to enhanced
outward transport that protects a cell against poisoning.Comment: REVTeX4, 4 pages, 3 figures; Accepted for publication in Phys. Rev.
Let
Gravity-Driven Acceleration of the Cosmic Expansion
It is shown here that a dynamical Planck mass can drive the scale factor of
the universe to accelerate. The negative pressure which drives the cosmic
acceleration is identified with the unusual kinetic energy density of the
Planck field. No potential nor cosmological constant is required. This suggests
a purely gravity driven, kinetic inflation. Although the possibility is not
ruled out, the burst of acceleration is often too weak to address the initial
condition problems of cosmology. To illustrate the kinetic acceleration, three
different cosmologies are presented. One such example, that of a bouncing
universe, demonstrates the additional feature of being nonsingular. The
acceleration is also considered in the conformally related Einstein frame in
which the Planck mass is constant.Comment: 23 pages, LaTex, figures available upon request, (revisions include
added references and comment on inflation) CITA-94-1
Statistical Mechanics of Unbound Two Dimensional Self-Gravitating Systems
We study, using both theory and molecular dynamics simulations, the
relaxation dynamics of a microcanonical two dimensional self-gravitating
system. After a sufficiently large time, a gravitational cluster of N particles
relaxes to the Maxwell-Boltzmann distribution. The time to reach the
thermodynamic equilibrium, however, scales with the number of particles. In the
thermodynamic limit, at fixed total mass, equilibrium state is
never reached and the system becomes trapped in a non-ergodic stationary state.
An analytical theory is presented which allows us to quantitatively described
this final stationary state, without any adjustable parameters
Channel-Independent and Sensor-Independent Stimulus Representations
This paper shows how a machine, which observes stimuli through an
uncharacterized, uncalibrated channel and sensor, can glean machine-independent
information (i.e., channel- and sensor-independent information) about the
stimuli. First, we demonstrate that a machine defines a specific coordinate
system on the stimulus state space, with the nature of that coordinate system
depending on the device's channel and sensor. Thus, machines with different
channels and sensors "see" the same stimulus trajectory through state space,
but in different machine-specific coordinate systems. For a large variety of
physical stimuli, statistical properties of that trajectory endow the stimulus
configuration space with differential geometric structure (a metric and
parallel transfer procedure), which can then be used to represent relative
stimulus configurations in a coordinate-system-independent manner (and,
therefore, in a channel- and sensor-independent manner). The resulting
description is an "inner" property of the stimulus time series in the sense
that it does not depend on extrinsic factors like the observer's choice of a
coordinate system in which the stimulus is viewed (i.e., the observer's choice
of channel and sensor). This methodology is illustrated with analytic examples
and with a numerically simulated experiment. In an intelligent sensory device,
this kind of representation "engine" could function as a "front-end" that
passes channel/sensor-independent stimulus representations to a pattern
recognition module. After a pattern recognizer has been trained in one of these
devices, it could be used without change in other devices having different
channels and sensors.Comment: The results of a numerically simulated experiment, which illustrates
the proposed method, have been added to the version submitted on October 27,
2004. This paper has been accepted for publication in the Journal of Applied
Physics. For related papers, see http://www.geocities.com/dlevin2001
Nonlocal transport near the charge neutrality point in a two-dimensional electron-hole system
Nonlocal resistance is studied in a two-dimensional system with a
simultaneous presence of electrons and holes in a 20 nm HgTe quantum well. A
large nonlocal electric response is found near the charge neutrality point
(CNP) in the presence of a perpendicular magnetic field. We attribute the
observed nonlocality to the edge state transport via counter propagating chiral
modes similar to the quantum spin Hall effect at zero magnetic field and
graphene near Landau filling factor Comment: 5 pages, 4 figure
A survey of spinning test particle orbits in Kerr spacetime
We investigate the dynamics of the Papapetrou equations in Kerr spacetime.
These equations provide a model for the motion of a relativistic spinning test
particle orbiting a rotating (Kerr) black hole. We perform a thorough parameter
space search for signs of chaotic dynamics by calculating the Lyapunov
exponents for a large variety of initial conditions. We find that the
Papapetrou equations admit many chaotic solutions, with the strongest chaos
occurring in the case of eccentric orbits with pericenters close to the limit
of stability against plunge into a maximally spinning Kerr black hole. Despite
the presence of these chaotic solutions, we show that physically realistic
solutions to the Papapetrou equations are not chaotic; in all cases, the
chaotic solutions either do not correspond to realistic astrophysical systems,
or involve a breakdown of the test-particle approximation leading to the
Papapetrou equations (or both). As a result, the gravitational radiation from
bodies spiraling into much more massive black holes (as detectable, for
example, by LISA, the Laser Interferometer Space Antenna) should not exhibit
any signs of chaos.Comment: Submitted to Phys. Rev. D. Follow-up to gr-qc/0210042. Figures are
low-resolution in order to satisfy archive size constraints; a
high-resolution version is available at http://www.michaelhartl.com/papers
Monte Carlo simulations of 2d hard core lattice gases
Monte Carlo simulations are used to study lattice gases of particles with
extended hard cores on a two dimensional square lattice. Exclusions of one and
up to five nearest neighbors (NN) are considered. These can be mapped onto hard
squares of varying side length, (in lattice units), tilted by some
angle with respect to the original lattice. In agreement with earlier studies,
the 1NN exclusion undergoes a continuous order-disorder transition in the Ising
universality class. Surprisingly, we find that the lattice gas with exclusions
of up to second nearest neighbors (2NN) also undergoes a continuous phase
transition in the Ising universality class, while the Landau-Lifshitz theory
predicts that this transition should be in the universality class of the XY
model with cubic anisotropy. The lattice gas of 3NN exclusions is found to
undergo a discontinuous order-disorder transition, in agreement with the
earlier transfer matrix calculations and the Landau-Lifshitz theory. On the
other hand, the gas of 4NN exclusions once again exhibits a continuous phase
transition in the Ising universality class -- contradicting the predictions of
the Landau-Lifshitz theory. Finally, the lattice gas of 5NN exclusions is found
to undergo a discontinuous phase transition.Comment: 13 pages, lots of figure
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