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Full-Duplex Wireless Communications: Challenges, Solutions, and Future Research Directions

Proceedings of the IEEE, ISSN 0018-9219, 07/2016, Volume 104, Issue 7, pp. 1369 - 1409

The family of conventional half-duplex (HD) wireless systems relied on transmitting and receiving in different time slots or frequency subbands. Hence, the...

Phase noise | transmit I/Q imbalance | Cooperative communication | Amplify and forward | relay | passive suppression | optimal relay selection | full duplex (FD) | self-interference | Wireless communication | cognitive radio | power amplifier nonlinearity | Power amplifiers | Analog cancellation | High definition video | Resource management | digital cancellation | Decode and forward | optimal power allocation | analog cancellation | decode and forward | phase noise | SELF-INTERFERENCE CANCELLATION | PERFORMANCE | STRATEGIES | ENGINEERING, ELECTRICAL & ELECTRONIC | OFDMA UPLINK TRANSMISSION | SELECTION | POWER ALLOCATION | Access control | Receiving | Categories | Cancellation | Devices | Design analysis | Channels | Optimization | Media and Communication Technology | Data- och informationsvetenskap | Naturvetenskap | Natural Sciences | Computer and Information Sciences | Medieteknik | Mobile and Pervasive Computing | Distribuerade datorsystem

Phase noise | transmit I/Q imbalance | Cooperative communication | Amplify and forward | relay | passive suppression | optimal relay selection | full duplex (FD) | self-interference | Wireless communication | cognitive radio | power amplifier nonlinearity | Power amplifiers | Analog cancellation | High definition video | Resource management | digital cancellation | Decode and forward | optimal power allocation | analog cancellation | decode and forward | phase noise | SELF-INTERFERENCE CANCELLATION | PERFORMANCE | STRATEGIES | ENGINEERING, ELECTRICAL & ELECTRONIC | OFDMA UPLINK TRANSMISSION | SELECTION | POWER ALLOCATION | Access control | Receiving | Categories | Cancellation | Devices | Design analysis | Channels | Optimization | Media and Communication Technology | Data- och informationsvetenskap | Naturvetenskap | Natural Sciences | Computer and Information Sciences | Medieteknik | Mobile and Pervasive Computing | Distribuerade datorsystem

Journal Article

1995, Systems & control, ISBN 9780817637408, xi, 312

Book

Computers and Mathematics with Applications, ISSN 0898-1221, 03/2017, Volume 73, Issue 6, pp. 1016 - 1027

In this paper, we deal with the Navierâ€“Stokes equations with the time-fractional derivative of order , which can be used to simulate anomalous diffusion in...

Navierâ€“Stokes equations | Weak solutions | Optimal controls | Caputo fractional derivative | Existence | MATHEMATICS, APPLIED | Navier-Stokes equations | Fluid dynamics

Navierâ€“Stokes equations | Weak solutions | Optimal controls | Caputo fractional derivative | Existence | MATHEMATICS, APPLIED | Navier-Stokes equations | Fluid dynamics

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 06/2016, Volume 71, Issue 12, pp. 2513 - 2523

In this paper, we first establish the necessary and sufficient conditions for the existence and the explicit expressions of the Hermitian -(anti-)reflexive...

Hermitian [formula omitted]-(anti-)reflexive solutions | Matrix equation | Least squares solution | Hermitian {P, k +1}-(anti-)reflexive solutions | ANTI-REFLEXIVE SOLUTIONS | OPTIMAL APPROXIMATION | MATHEMATICS, APPLIED | LEAST-SQUARES SOLUTIONS | Hermitian {P, k+1}-(anti-)reflexive solutions | CONSTRAINT | Algorithms | Approximation | Computer simulation | Least squares method | Mathematical analysis | Norms | Feasibility | Mathematical models

Hermitian [formula omitted]-(anti-)reflexive solutions | Matrix equation | Least squares solution | Hermitian {P, k +1}-(anti-)reflexive solutions | ANTI-REFLEXIVE SOLUTIONS | OPTIMAL APPROXIMATION | MATHEMATICS, APPLIED | LEAST-SQUARES SOLUTIONS | Hermitian {P, k+1}-(anti-)reflexive solutions | CONSTRAINT | Algorithms | Approximation | Computer simulation | Least squares method | Mathematical analysis | Norms | Feasibility | Mathematical models

Journal Article

1987, Pitman research notes in mathematics series, ISBN 9780470209189, Volume 165, 95

Book

1981, ISBN 9780898380743, 135

Book

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 11/2015, Volume 54, Issue 3, pp. 2985 - 3008

In this paper, we study the existence of multiple ground state solutions for a class of parametric fractional SchrÃ¶dinger equations whose simplest prototype is...

49J35 | 35A15 | 47G20 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35S15 | 45G05 | LAPLACIAN | EXISTENCE | MATHEMATICS | ELLIPTIC PROBLEMS | MATHEMATICS, APPLIED | R-N | CRITICAL-POINTS THEOREM | OPERATORS | Iron oxides

49J35 | 35A15 | 47G20 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35S15 | 45G05 | LAPLACIAN | EXISTENCE | MATHEMATICS | ELLIPTIC PROBLEMS | MATHEMATICS, APPLIED | R-N | CRITICAL-POINTS THEOREM | OPERATORS | Iron oxides

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 8/2017, Volume 56, Issue 4, pp. 1 - 25

This paper is dedicated to studying the following Kirchhoff-type problem 0.1 $$\begin{aligned} \left\{ \begin{array}{l@{\quad }l} -\left( a+b\int _{\mathbb...

35J65 | 35J20 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICITY | POSITIVE SOLUTIONS | NONTRIVIAL SOLUTIONS | SIGN-CHANGING SOLUTIONS | ELLIPTIC-EQUATIONS

35J65 | 35J20 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICITY | POSITIVE SOLUTIONS | NONTRIVIAL SOLUTIONS | SIGN-CHANGING SOLUTIONS | ELLIPTIC-EQUATIONS

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 6/2019, Volume 58, Issue 3, pp. 1 - 33

We consider the singularly perturbed coupled SchrÃ¶dinger system where $$A:=\{x\in {\mathbb {R}}^4: 0 35B25 | 35J61 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 35B33 | Mathematics | PHASE-SEPARATION | MATHEMATICS | PERTURBED ELLIPTIC-EQUATIONS | MATHEMATICS, APPLIED | NODAL SOLUTIONS | PARTIAL SYMMETRY | BOUND-STATES | POSITIVE SOLUTIONS | SEMICLASSICAL STATES | SIGN-CHANGING SOLUTIONS | STANDING WAVES | GROUND-STATES

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 8/2014, Volume 52, Issue 7, pp. 1984 - 2012

In this paper, we are concerned with a class of fractional differential equations given by $$\begin{aligned} \hbox {D}_{t}^{\alpha }x(t)=Ax(t)+f(t,x(t))....

Fractional differential equation | Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Weighted pseudo-almost automorphic classical solution | Fractional reactionâ€“diffusion equation | Optimal mild solution | Math. Applications in Chemistry | Existence and uniqueness | Fractional reaction-diffusion equation | DYNAMICS APPROACH | EXISTENCE | STEPANOV-LIKE | CHEMISTRY, MULTIDISCIPLINARY | UNIQUENESS | WAVES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INTEGRODIFFERENTIAL EQUATION | Heat equation | Analysis | Differential equations

Fractional differential equation | Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Weighted pseudo-almost automorphic classical solution | Fractional reactionâ€“diffusion equation | Optimal mild solution | Math. Applications in Chemistry | Existence and uniqueness | Fractional reaction-diffusion equation | DYNAMICS APPROACH | EXISTENCE | STEPANOV-LIKE | CHEMISTRY, MULTIDISCIPLINARY | UNIQUENESS | WAVES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INTEGRODIFFERENTIAL EQUATION | Heat equation | Analysis | Differential equations

Journal Article

Control Engineering Practice, ISSN 0967-0661, 02/2019, Volume 83, pp. 45 - 66

A benchmark problem for fuel efficient control of a truck on a given road profile has been formulated and solved. Six different solution strategies utilizing...

Engine model | Vehicle model | Control design | Optimal control | Driveline model | VEHICLES | FUEL | ALGORITHM | OPTIMIZATION | TIME | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC

Engine model | Vehicle model | Control design | Optimal control | Driveline model | VEHICLES | FUEL | ALGORITHM | OPTIMIZATION | TIME | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2005, Volume 160, Issue 3, pp. 763 - 777

An iteration method is constructed to solve the linear matrix equation AXB = C over symmetric X. By this iteration method, the solvability of the equation AXB...

Least-norm symmetric solution | Symmetric solution | Optimal approximation solution | Iteration method | iteration method | optimal approximation solution | COMMON SOLUTIONS | MATHEMATICS, APPLIED | least-norm symmetric solution | symmetric solution

Least-norm symmetric solution | Symmetric solution | Optimal approximation solution | Iteration method | iteration method | optimal approximation solution | COMMON SOLUTIONS | MATHEMATICS, APPLIED | least-norm symmetric solution | symmetric solution

Journal Article

Annals of Mathematics and Artificial Intelligence, ISSN 1012-2443, 11/2014, Volume 72, Issue 3, pp. 267 - 295

Heuristic search algorithms are designed to return an optimal path from a start state to a goal state. They find the optimal solution cost as a side effect....

68W20 | 68T20 | Type systems | Computer Science | Artificial Intelligence (incl. Robotics) | Mathematics, general | Optimal solution cost prediction | Heuristic search | 68W25 | Computer Science, general | Statistical Physics, Dynamical Systems and Complexity | MATHEMATICS, APPLIED | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Computer science | Algorithms

68W20 | 68T20 | Type systems | Computer Science | Artificial Intelligence (incl. Robotics) | Mathematics, general | Optimal solution cost prediction | Heuristic search | 68W25 | Computer Science, general | Statistical Physics, Dynamical Systems and Complexity | MATHEMATICS, APPLIED | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Computer science | Algorithms

Journal Article

IEEE Transactions on Signal Processing, ISSN 1053-587X, 05/2008, Volume 56, Issue 5, pp. 1770 - 1778

We consider least squares (LS) approaches for locating a radiating source from range measurements (which we call R-LS) or from range-difference measurements...

Array signal processing | nonconvex | Geophysical measurements | range-difference measurements | range measurements | source localization | Least squares approximation | Geophysics computing | Least squares methods | Geophysical signal processing | Sensor arrays | single quadratic constraint | Wireless sensor networks | generalized trust region subproblems (GTRS) | least squares | Efficiently and globally optimal solution | Numerical simulation | quadratic function minimization | squared range observations | Quadratic function minimization | Source localization | Least squares | Generalized trust region subproblems (GTRS) | Range-difference measurements | Range measurements | Nonconvex | Single quadratic constraint | Squared range observations | MOBILE LOCATION | ALGORITHMS | ENGINEERING, ELECTRICAL & ELECTRONIC | efficiently and globally optimal solution | OPTIMIZATION | Usage | Quadratic functions | Analysis | Geophysics | Signal processing | Research | Strontium | Approximation | Least squares method | Mathematical analysis | Exact solutions | Mathematical models | Arrays | Estimates | Data- och informationsvetenskap | TEKNIKVETENSKAP | Naturvetenskap | Natural Sciences | Computer and Information Sciences | TECHNOLOGY | Information technology | Informationsteknik

Array signal processing | nonconvex | Geophysical measurements | range-difference measurements | range measurements | source localization | Least squares approximation | Geophysics computing | Least squares methods | Geophysical signal processing | Sensor arrays | single quadratic constraint | Wireless sensor networks | generalized trust region subproblems (GTRS) | least squares | Efficiently and globally optimal solution | Numerical simulation | quadratic function minimization | squared range observations | Quadratic function minimization | Source localization | Least squares | Generalized trust region subproblems (GTRS) | Range-difference measurements | Range measurements | Nonconvex | Single quadratic constraint | Squared range observations | MOBILE LOCATION | ALGORITHMS | ENGINEERING, ELECTRICAL & ELECTRONIC | efficiently and globally optimal solution | OPTIMIZATION | Usage | Quadratic functions | Analysis | Geophysics | Signal processing | Research | Strontium | Approximation | Least squares method | Mathematical analysis | Exact solutions | Mathematical models | Arrays | Estimates | Data- och informationsvetenskap | TEKNIKVETENSKAP | Naturvetenskap | Natural Sciences | Computer and Information Sciences | TECHNOLOGY | Information technology | Informationsteknik

Journal Article

IEEE Transactions on Power Systems, ISSN 0885-8950, 11/2013, Volume 28, Issue 4, pp. 4780 - 4788

The existence of locally optimal solutions to the AC optimal power flow problem (OPF) has been a question of interest for decades. This paper presents examples...

Reactive power | Power cables | optimal power flow | Global optimum | Generators | Standards | Optimization | Power generation | Load flow | local optima | Optimal power flow | Local optima | ALGORITHM | SYSTEMS | OPTIMIZATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Usage | Voltage | Innovations | Linear programming | Electric power production | Mathematical optimization

Reactive power | Power cables | optimal power flow | Global optimum | Generators | Standards | Optimization | Power generation | Load flow | local optima | Optimal power flow | Local optima | ALGORITHM | SYSTEMS | OPTIMIZATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Usage | Voltage | Innovations | Linear programming | Electric power production | Mathematical optimization

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 11/2015, Volume 54, Issue 3, pp. 3277 - 3301

We study the existence and non-existence of positive solutions for the (p,Â q)-Laplace equation $$-\Delta _p u -\Delta _q u=\alpha |u|^{p-2}u+\beta |u|^{q-2}u$$...

35J20 | 35J62 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35P30 | EIGENVALUE | MATHEMATICS | MATHEMATICS, APPLIED | P-LAPLACIAN | Mathematics - Analysis of PDEs

35J20 | 35J62 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35P30 | EIGENVALUE | MATHEMATICS | MATHEMATICS, APPLIED | P-LAPLACIAN | Mathematics - Analysis of PDEs

Journal Article

1984, ISBN 0126854807, Volume 173., xiii, 317

Book

Journal of Optimization Theory and Applications, ISSN 0022-3239, 10/2011, Volume 151, Issue 1, pp. 210 - 216

This article elicits a best proximity point theorem for non-self-proximal contractions. As a consequence, it ascertains the existence of an optimal approximate...

Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal approximate solution | Proximal contraction | Mathematics | Theory of Computation | Engineering, general | Applications of Mathematics | Best proximity point | Optimization | Contraction | Fixed point | EXISTENCE | MATHEMATICS, APPLIED | PAIR THEOREMS | EXTENSIONS | MULTIFUNCTIONS | APPROXIMATION THEOREM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUASI-ASYMPTOTIC CONTRACTIONS | EQUILIBRIUM PAIRS | UNIFORM-SPACES | CONVERGENCE | MAPPINGS | Algorithms | Studies

Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal approximate solution | Proximal contraction | Mathematics | Theory of Computation | Engineering, general | Applications of Mathematics | Best proximity point | Optimization | Contraction | Fixed point | EXISTENCE | MATHEMATICS, APPLIED | PAIR THEOREMS | EXTENSIONS | MULTIFUNCTIONS | APPROXIMATION THEOREM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUASI-ASYMPTOTIC CONTRACTIONS | EQUILIBRIUM PAIRS | UNIFORM-SPACES | CONVERGENCE | MAPPINGS | Algorithms | Studies

Journal Article

IET Generation, Transmission & Distribution, ISSN 1751-8687, 1/2017, Volume 11, Issue 2, pp. 570 - 581

This study investigates a novel multi-objective differential evolution (MDE) solution methodology for multi-objective optimal power flow (MOPF) problem. The...

Research Articles | OPTIMAL POWER-FLOW | PARTICLE SWARM OPTIMIZATION | NONSMOOTH COST-FUNCTIONS | DIFFERENTIAL EVOLUTION ALGORITHM | DISPATCH | STRATEGY | MUTATION OPERATORS | GRAVITATIONAL SEARCH ALGORITHM | LEARNING-BASED OPTIMIZATION | GENETIC ALGORITHM | ENGINEERING, ELECTRICAL & ELECTRONIC | Multiple objective analysis | Operators | Algorithms | Methodology | Searching | Evolution | Mathematical models | Standards

Research Articles | OPTIMAL POWER-FLOW | PARTICLE SWARM OPTIMIZATION | NONSMOOTH COST-FUNCTIONS | DIFFERENTIAL EVOLUTION ALGORITHM | DISPATCH | STRATEGY | MUTATION OPERATORS | GRAVITATIONAL SEARCH ALGORITHM | LEARNING-BASED OPTIMIZATION | GENETIC ALGORITHM | ENGINEERING, ELECTRICAL & ELECTRONIC | Multiple objective analysis | Operators | Algorithms | Methodology | Searching | Evolution | Mathematical models | Standards

Journal Article