3,072 research outputs found
Robust Adaptive Beamforming for General-Rank Signal Model with Positive Semi-Definite Constraint via POTDC
The robust adaptive beamforming (RAB) problem for general-rank signal model
with an additional positive semi-definite constraint is considered. Using the
principle of the worst-case performance optimization, such RAB problem leads to
a difference-of-convex functions (DC) optimization problem. The existing
approaches for solving the resulted non-convex DC problem are based on
approximations and find only suboptimal solutions. Here we solve the non-convex
DC problem rigorously and give arguments suggesting that the solution is
globally optimal. Particularly, we rewrite the problem as the minimization of a
one-dimensional optimal value function whose corresponding optimization problem
is non-convex. Then, the optimal value function is replaced with another
equivalent one, for which the corresponding optimization problem is convex. The
new one-dimensional optimal value function is minimized iteratively via
polynomial time DC (POTDC) algorithm.We show that our solution satisfies the
Karush-Kuhn-Tucker (KKT) optimality conditions and there is a strong evidence
that such solution is also globally optimal. Towards this conclusion, we
conjecture that the new optimal value function is a convex function. The new
RAB method shows superior performance compared to the other state-of-the-art
general-rank RAB methods.Comment: 29 pages, 7 figures, 2 tables, Submitted to IEEE Trans. Signal
Processing on August 201
Comparing the EPA Indoor Air Quality Personal Computer Model and Field Data
The authors recommend caution in using an EPA model for reconstructing past exposure events as well as for predicting future exposures
Negative-U properties for substitutional Au in Si
The isolated substitutional gold impurity in bulk silicon is studied in
detail using electronic structure calculations based on density-functional
theory. The defect system is found to be a non-spin-polarized negative-U
centre, thus providing a simple solution to the long-standing debate over the
electron paramagnetic resonance signal for gold in silicon. There is an
excellent agreement (within 0.03 eV) between the well-established experimental
donor and acceptor levels and the predicted stable charge state transition
levels, allowing for the unambiguous assignment of the two experimental levels
to the (1+/1-) and (1-/3-) transitions, respectively, in contrast to previously
held assumptions about the system.Comment: 6 pages, 5 figure
Approximation properties of certain operator-induced norms on Hilbert spaces
We consider a class of operator-induced norms, acting as finite-dimensional
surrogates to the L2 norm, and study their approximation properties over
Hilbert subspaces of L2 . The class includes, as a special case, the usual
empirical norm encountered, for example, in the context of nonparametric
regression in reproducing kernel Hilbert spaces (RKHS). Our results have
implications to the analysis of M-estimators in models based on
finite-dimensional linear approximation of functions, and also to some related
packing problems
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