2,058 research outputs found
Average Error Probability Analysis in mmWave Cellular Networks
In this paper, a mathematical framework for the analysis of average symbol
error probability (ASEP) in millimeter wave (mmWave) cellular networks with
Poisson Point Process (PPP) distributed base stations (BSs) is developed using
tools from stochastic geometry. The distinguishing features of mmWave
communications such as directional beamforming and having different path loss
laws for line-of-sight (LOS) and non-line-of-sight (NLOS) links are
incorporated in the average error probability analysis. First, average pairwise
error probability (APEP) expression is obtained by averaging pairwise error
probability (PEP) over fading and random shortest distance from mobile user
(MU) to its serving BS. Subsequently, average symbol error probability is
approximated from APEP using the nearest neighbor (NN) approximation. ASEP is
analyzed for different antenna gains and base station densities. Finally, the
effect of beamforming alignment errors on ASEP is investigated to get insight
on more realistic cases.Comment: Presented at IEEE VTC2015-Fal
Geometric Quantization on the Super-Disc
In this article we discuss the geometric quantization on a certain type of
infinite dimensional super-disc. Such systems are quite natural when we analyze
coupled bosons and fermions. The large-N limit of a system like that
corresponds to a certain super-homogeneous space. First, we define an example
of a super-homogeneous manifold: a super-disc. We show that it has a natural
symplectic form, it can be used to introduce classical dynamics once a
Hamiltonian is chosen. Existence of moment maps provide a Poisson realization
of the underlying symmetry super-group. These are the natural operators to
quantize via methods of geometric quantization, and we show that this can be
done.Comment: 17 pages, Latex file. Subject: Mathematical physics, geometric
quantizatio
Hardware simulator for optical correlation spectroscopy with Gaussian statistics and arbitrary correlation functions
We present a new hardware simulator (HS) for characterization, testing and benchmarking of digital correlators used in various optical correlation spectroscopy experiments where the photon statistics is Gaussian and the corresponding time correlation function can have any arbitrary shape. Starting from the HS developed in [Rev. Sci. Instrum. 74, 4273 (2003)], and using the same I/O board (PCI-6534 National Instrument) mounted on a modern PC (Intel Core i7-CPU, 3.07GHz, 12GB RAM), we have realized an instrument capable of delivering continuous streams of TTL pulses over two channels, with a time resolution of Δt = 50ns, up to a maximum count rate of 〈I〉 ∼ 5MHz. Pulse streams, typically detected in dynamic light scattering and diffuse correlation spectroscopy experiments were generated and measured with a commercial hardware correlator obtaining measured correlation functions that match accurately the expected ones.Peer ReviewedPostprint (published version
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