Search results for "Bounds"

showing 10 items of 298 documents

Parameter optimization for amplify-and-forward relaying with imperfect channel estimation

2009

Cooperative diversity is a promising technology for future wireless networks. In this paper, we consider a cooperative communication system operating in an amplify-and-forward (AF) mode with an imperfectly-known relay fading channel. It is assumed that a pilot symbol assisted modulation (PSAM) scheme with linear minimum mean square estimator (LMMSE) is used for the channel estimation. A simple and easy-to-evaluate asymptotical upper bound (AUB) of the symbol-error-rate (SER) is derived for uncoded AF cooperative systems with quadrature amplitude modulation (QAM) constellations. Based on the AUB, we propose a criterion for the choice of parameters in the PSAM scheme, i.e., the pilot spacing …

Mean squared errorChannel state informationControl theoryVDP::Technology: 500::Information and communication technology: 550::Telecommunication: 552EstimatorFadingUpper and lower boundsAlgorithmQuadrature amplitude modulationComplex normal distributionCooperative diversityMathematics
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Lower bounds for eigenvalues of a quadratic form relative to a positive quadratic form

1968

Abstract : A method is presented for the calculation of lower bounds to eigenvalues of operators that arise from variational problems for one quadratic form relative to a positive definite quadratic form. Eigenvalue problems of this kind occur, for example, in the theory of buckling of continuous linear elastic systems. The technique used is a modification of one introduced earlier, (1) sections II and IVB, for the determination of lower bounds to eigenvalues of semi-bounded self-adjoint operators. Other methods for the latter problem can be carried over without essential changes. The particular difficulty in the case we consider is that some operators which enter the calculation for the lo…

Mechanical EngineeringMathematical analysisPositive-definite matrixIsotropic quadratic formUpper and lower boundsDefinite quadratic formMathematics (miscellaneous)Quadratic formApplied mathematicsBoundary value problemCalculus of variationsAnalysisEigenvalues and eigenvectorsMathematicsArchive for Rational Mechanics and Analysis
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Dynamic shakedown by modal analysis

1984

Dynamic shakedown of discrete elastic-perfectly plastic structures under a specified load history is studied using the dynamic characteristics of the structure provided by modal analysis. Several statical and kinematical theorems are presented, including lower and upper bound theorems for the minimum adaptation time of the structure. In the formulation of the kinematical theorems a crucial role is played by the appropriate definition of ≪admissible plastic strain cycle≫.

Mechanics of MaterialsMechanical EngineeringSpecified loadModal analysisMathematical analysisCalculusStructure (category theory)PlasticityCondensed Matter PhysicsUpper and lower boundsShakedownMathematicsMeccanica
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2014

This paper deals with the problem of robust model predictive control (RMPC) for a class of linear time-varying systems with constraints and data losses. We take the polytopic uncertainties into account to describe the uncertain systems. First, we design a robust state observer by using the linear matrix inequality (LMI) constraints so that the original system state can be tracked. Second, the MPC gain is calculated by minimizing the upper bound of infinite horizon robust performance objective in terms of linear matrix inequality conditions. The method of robust MPC and state observer design is illustrated by a numerical example.

Model predictive controlMathematical optimizationNetwork packetControl theoryApplied MathematicsControl systemLinear matrix inequalityState (functional analysis)State observerRobust controlUpper and lower boundsAnalysisMathematicsAbstract and Applied Analysis
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LCRT: A ToA Based Mobile Terminal Localization Algorithm in NLOS Environment

2009

©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Article also available from publisher: http://dx.doi.org/10.1109/VETECS.2009.5073644 Non line-of-sight (NLOS) propagation in range measurement is a key problem for mobile terminal localization. This paper proposes a low computational residual test (LCRT) algorithm that can identify the number of line-of-sight (LOS) transmissions and reduce the computational com…

Non-line-of-sight propagationTime of arrivalComputational complexity theoryVDP::Technology: 500::Information and communication technology: 550::Telecommunication: 552Range (statistics)Probability density functionResidualCramér–Rao boundAlgorithmUpper and lower boundsMathematics
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A kriging interpolation strategy for the optimization of Acidithiobacillus ferrooxidans biomass production using fed-batch bioreactors

2008

In this work, a procedure for the optimization of Acidithiobacillus ferrooxidans biomass production in fed-batch reactors using a model based on optimal spatial interpolation of experimental data is proposed. The approach is useful in those cases where specific growth and substrate consumption rates are unknown. Based on interpolation, the optimal values of biomass and substrate concentrations set points are obtained at the minimum of 2-dimensional cost function. In the fed-batch reactor biomass and substrate concentrations are controlled at their set points by changing the input flow and its concentration. We propose a minimum variance control strategy which improves the classical proporti…

Nonlinear systemMinimum-variance unbiased estimatorChemistryKrigingMaterials ChemistryMetals and AlloysBiomassFunction (mathematics)Biological systemUpper and lower boundsIndustrial and Manufacturing EngineeringInterpolationMultivariate interpolationHydrometallurgy
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Large two-dimensional electronic systems: Self-consistent energies and densities at low cost

2013

We derive a self-consistent local variant of the Thomas-Fermi approximation for (quasi-) two-dimensional (2D) systems by localizing the Hartree term. The scheme results in an explicit orbital-free representation of the electron density and energy in terms of the external potential, the number of electrons, and the chemical potential determined upon normalization. We test the method over a variety 2D nanostructures by comparing to the Kohn-Sham 2D local-density approximation (LDA) calculations up to 600 electrons. Accurate results are obtained in view of the negligible computational cost. We also assess a local upper bound for the Hartree energy. Peer reviewed

Normalization (statistics)Electron densityThomas-Fermi approximationta221educationFOS: Physical sciencesquantum dotsElectron114 Physical sciencesUpper and lower boundsCondensed Matter - Strongly Correlated ElectronsQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)Electronic systemsta218density functional theoryPhysicsta214ta114Condensed Matter - Mesoscale and Nanoscale PhysicsStrongly Correlated Electrons (cond-mat.str-el)HartreeCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsComputational physicsorbital free functionalQuantum dotDensity functional theory
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Quantum algorithms for search with wildcards and combinatorial group testing

2012

We consider two combinatorial problems. The first we call "search with wildcards": given an unknown n-bit string x, and the ability to check whether any subset of the bits of x is equal to a provided query string, the goal is to output x. We give a nearly optimal O(sqrt(n) log n) quantum query algorithm for search with wildcards, beating the classical lower bound of Omega(n) queries. Rather than using amplitude amplification or a quantum walk, our algorithm is ultimately based on the solution to a state discrimination problem. The second problem we consider is combinatorial group testing, which is the task of identifying a subset of at most k special items out of a set of n items, given the…

Nuclear and High Energy PhysicsFOS: Physical sciencesGeneral Physics and Astronomy0102 computer and information sciences01 natural sciencesUpper and lower boundsTheoretical Computer ScienceCombinatoricsSet (abstract data type)Amplitude amplification0103 physical sciencesQuantum walk010306 general physicsMathematical PhysicsMathematicsQuantum PhysicsQuery stringComputer Science::Information RetrievalString (computer science)Statistical and Nonlinear PhysicsWildcard charactercomputer.file_formatComputational Theory and Mathematics010201 computation theory & mathematicsQuantum algorithmQuantum Physics (quant-ph)computerQuantum Information and Computation
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Neutrino Mass from Cosmology

2012

Neutrinos can play an important role in the evolution of the Universe, modifying some of the cosmological observables. In this contribution we summarize the main aspects of cosmological relic neutrinos and we describe how the precision of present cosmological data can be used to learn about neutrino properties, in particular their mass, providing complementary information to beta decay and neutrinoless double-beta decay experiments. We show how the analysis of current cosmological observations, such as the anisotropies of the cosmic microwave background or the distribution of large-scale structure, provides an upper bound on the sum of neutrino masses of order 1 eV or less, with very good p…

Nuclear and High Energy PhysicsParticle physicsCosmology and Nongalactic Astrophysics (astro-ph.CO)Article SubjectCosmic microwave backgroundFOS: Physical sciencesAstrophysics::Cosmology and Extragalactic Astrophysics01 natural sciences7. Clean energyUpper and lower boundsPartícules (Física nuclear)CosmologyHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciences010303 astronomy & astrophysicsParticle Physics - PhenomenologyPhysics010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyObservableBeta decaylcsh:QC1-999High Energy Physics - Phenomenology[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]High Energy Physics::ExperimentNeutrinolcsh:PhysicsAstrophysics - Cosmology and Nongalactic Astrophysics
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Bounds on very low reheating scenarios after Planck

2015

9 pages.- 9 figures

Nuclear and High Energy PhysicsParticle physicsCosmology and Nongalactic Astrophysics (astro-ph.CO)Astrophysics::High Energy Astrophysical PhenomenaEarly universeFOS: Physical sciencesAstrophysics::Cosmology and Extragalactic AstrophysicsUpper and lower boundsCosmologysymbols.namesakeGeneral Relativity and Quantum CosmologyHigh Energy Physics - Phenomenology (hep-ph)Big Bang nucleosynthesisPlanckPhysicsCosmology Big Bang NucleosynthesisOscillationHigh Energy Physics::PhenomenologyFísicaHigh Energy Physics - PhenomenologysymbolsProduction (computer science)High Energy Physics::ExperimentNeutrinoAstrophysics - Cosmology and Nongalactic AstrophysicsPrimordial abundance
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