418 research outputs found
On the Proximity Factors of Lattice Reduction-Aided Decoding
Lattice reduction-aided decoding features reduced decoding complexity and
near-optimum performance in multi-input multi-output communications. In this
paper, a quantitative analysis of lattice reduction-aided decoding is
presented. To this aim, the proximity factors are defined to measure the
worst-case losses in distances relative to closest point search (in an infinite
lattice). Upper bounds on the proximity factors are derived, which are
functions of the dimension of the lattice alone. The study is then extended
to the dual-basis reduction. It is found that the bounds for dual basis
reduction may be smaller. Reasonably good bounds are derived in many cases. The
constant bounds on proximity factors not only imply the same diversity order in
fading channels, but also relate the error probabilities of (infinite) lattice
decoding and lattice reduction-aided decoding.Comment: remove redundant figure
A new estimate for the approximation of functions by Hermite-Fejér interpolation polynomials
AbstractA new estimate is derived for the error committed in approximating a continuous function by Hermite-Fejér interpolation polynomials on the Chebyshev nodes of the first kind. The estimate obtained reflects the fact that the polynomials interpolate the function which is being approximated
Fractional smoothness and applications in Finance
This overview article concerns the notion of fractional smoothness of random variables of the form , where is a certain diffusion process. We review the connection to the real interpolation theory, give examples and applications of this concept. The applications in stochastic finance mainly concern the analysis of discrete time hedging errors. We close the review by indicating some further developments.Fractional smoothness; Discrete time hedging; Interpolation
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