5,226 research outputs found
Cognitive Beamforming for Multiple Secondary Data Streams With Individual SNR Constraints
In this paper, we consider cognitive beamforming for multiple secondary data
streams subject to individual signal-to-noise ratio (SNR) requirements for each
secondary data stream. In such a cognitive radio system, the secondary user is
permitted to use the spectrum allocated to the primary user as long as the
caused interference at the primary receiver is tolerable. With both secondary
SNR constraint and primary interference power constraint, we aim to minimize
the secondary transmit power consumption. By exploiting the individual SNR
requirements, we formulate this cognitive beamforming problem as an
optimization problem on the Stiefel manifold. Both zero forcing beamforming
(ZFB) and nonzero forcing beamforming (NFB) are considered. For the ZFB case,
we derive a closed form beamforming solution. For the NFB case, we prove that
the strong duality holds for the nonconvex primal problem and thus the optimal
solution can be easily obtained by solving the dual problem. Finally, numerical
results are presented to illustrate the performance of the proposed cognitive
beamforming solutions.Comment: This is the longer version of a paper to appear in the IEEE
Transactions on Signal Processin
Evolutionary Game Dynamics for Two Interacting Populations under Environmental Feedback
We study the evolutionary dynamics of games under environmental feedback
using replicator equations for two interacting populations. One key feature is
to consider jointly the co-evolution of the dynamic payoff matrices and the
state of the environment: the payoff matrix varies with the changing
environment and at the same time, the state of the environment is affected
indirectly by the changing payoff matrix through the evolving population
profiles. For such co-evolutionary dynamics, we investigate whether convergence
will take place, and if so, how. In particular, we identify the scenarios where
oscillation offers the best predictions of long-run behavior by using
reversible system theory. The obtained results are useful to describe the
evolution of multi-community societies in which individuals' payoffs and
societal feedback interact.Comment: 7 pages, submitted to a conferenc
Quantum Transport of Bosonic Cold Atoms in Double Well Optical Lattices
We numerically investigate, using the time evolving block decimation
algorithm, the quantum transport of ultra-cold bosonic atoms in a double well
optical lattice through slow and periodic modulation of the lattice parameters
(intra- and inter-well tunneling, chemical potential, etc.). The transport of
atoms does not depend on the rate of change of the parameters (as along as the
change is slow) and can distribute atoms in optical lattices at the quantized
level without involving external forces. The transport of atoms depends on the
atom filling in each double well and the interaction between atoms. In the
strongly interacting region, the bosonic atoms share the same transport
properties as non-interacting fermions with quantized transport at the half
filling and no atom transport at the integer filling. In the weakly interacting
region, the number of the transported atoms is proportional to the atom
filling. We show the signature of the quantum transport from the momentum
distribution of atoms that can measured in the time of flight image. A
semiclassical transport model is developed to explain the numerically observed
transport of bosonic atoms in the non-interacting and strongly interacting
limits. The scheme may serve as an quantized battery for atomtronics
applications.Comment: 8 pages, 9 figures, accepted for publication in Phys. Rev.
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