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A Novel iterative Interference Alignment Scheme Via Convex Optimization for the MIMO Interference Channel

A Novel Iterative Interference Alignment Scheme Via Convex O...

引用

IEEE 72nd Vehicular Technology Conference Fall 2010

作者： Shen, Hui Li, Bin Huawei Technol Dept Commun Technol Res Shenzhen Peoples R China

ISBN: (纸本)9781424435746

In this paper, we propose a novel interference alignment (IA) scheme via convex optimization based on minimum mean square error criterion subject to individual transmit power constraints for the MIMO interference channel system. We show that transceiver under such criterion can be realized through an efficient iterative algorithm. The convergence of the proposed algorithm is discussed. Simulation results show that the proposed scheme outperforms the existing IA schemes with fast convergence.

关键词： MIMO interference channel interference alignment convex optimization iterative algorithm

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Transfer operator approach for computing domain of attraction 49

Transfer operator approach for computing domain of attractio...

引用

49th IEEE Conference on Decision and Control (CDC)

作者： Wang, Kai Vaidya, Umesh Iowa State Univ Dept Elect & Comp Engn Ames IA 50011 USA

ISBN: (纸本)9781424477463

In this paper, we propose a linear transfer operator-based approach for the computation of domain of attraction of an attractor set. The almost everywhere notion of stability of an attractor set is used for the computation of domain of attraction. The proposed method is applicable to autonomous dynamical systems with the only requirement that the system mapping is a differentiable function of states. Furthermore domain of attraction of any general attractor set can be computed. Set oriented numerical scheme and iterative procedure based on the solution of finite dimensional linear program is proposed for the computation of domain of attraction. The application of the proposed method is demonstrated on two and three dimensional continuous and discrete-time systems.

关键词： Transfer operator Domain of attraction iterative algorithm

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Nonsmooth Optimization-Based Beamforming in Multiuser Wireless Relay Networks

Nonsmooth Optimization-Based Beamforming in Multiuser Wirele...

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4th International Conference on Signal Processing and Communication Systems (ICSPCS)/12th International Symposium on DSP and Communication Systems (DSPCS)/9th Workshop on the Internet, Telecommunications and Signal Processing (WTSP)

作者： Phan, A. H. Tuan, H. D. Kha, H. H. Nguyen, Ha H. Univ New S Wales Sch Elect Engn & Telecommun Unsw Sydney NSW 2052 Australia Univ Saskatchewan Dept Elect & Comp Engn Saskatoon S7N 5A9 SK Canada

ISBN: (纸本)9781424479078

The amplify-and-forward (AF) relay beamforming problems are naturally formulated as indefinite quadratic (nonconvex) optimization programs. The typical methods for solving such optimization problems are to transform them into convex semi-definite programs (SDPs) with additional rank-one (nonconvex and discontinuous) constraints. The rank-one constraints are then dropped to obtain solvable SDP relaxed problems and randomization techniques are employed for seeking the feasible solutions to the original nonconvex optimization problems. In many conventional scenarios, the results from solving the rank-one relaxed SDP problems are enough to conclude the solutions since no rank-higher-than-one SDP resulting matrix can be observed. Through our simulations, we found that there are also many scenarios that the SDP solvers give high-rank solutions. Hence, in this paper the rank-one constraints are equivalently expressed as reverse convex constraints and are incorporated into the optimization problems. Then, we propose an efficient iterative algorithm for solving the nonsmooth reverse convex optimization problems. Our simulations show that our proposed approach yields nearly global optimal solutions.

关键词： amplify and forward communication amplify-and-forward relay beamforming array signal processing indefinite quadratic optimization programs iterative algorithm iterative methods multiuser wireless relay networks nonsmooth optimization-based beamforming qua

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Information Theoretic Optimal Broadband Matching for Communication Systems

Information Theoretic Optimal Broadband Matching for Communi...

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IEEE Global Telecommunications Conference (GLOBECOM 2010)

作者： Taluja, Pawandeep S. Hughes, Brian L. N Carolina State Univ Dept Elect & Comp Engn Raleigh NC 27695 USA

ISBN: (纸本)9781424456383

We present an information theoretic perspective on optimal broadband matching. Most of the broadband matching and communication theory literature assumes a frequency-flat reflection coefficient. We derive the optimal capacity and matching network characteristic for a broadband system from an information theoretic view point while incorporating the broadband matching limitations. We also propose an iterative algorithm to arrive at the optimal solution. We illustrate by an example that a white characteristic for a matching network is often sub-optimal for a system with a non-white transfer function.

关键词： MIMO communication MIMO systems communication systems communication theory frequency-flat reflection coefficient information theoretic optimal broadband matching iterative algorithm iterative methods matching network characteristic nonwhite transfer funct

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A Novel algorithm for Multiple Space Vehicles Positioning

A Novel Algorithm for Multiple Space Vehicles Positioning

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International Conference on Advanced Measurement and Test (AMT 2010)

作者： Gao Jun-yao Yang Jing-shu Zeng Fang-ling Inst Elect Engn Lab 702 Hefei 230037 Anhui Peoples R China

ISBN: (纸本)0878492712

The paper presents a novel algorithm for multiple space vehicles positioning. The algorithm first positions the ground stations using multiple space vehicles with initial coordinates, then calculates the differences of the ground stations position results and their real coordinates, at last uses the differences to estimate the revised error for space vehicles' coordinates. It can use iterative method to achieve needed precision of the SV's coordinates. At last, simulation results prove the stability and credibility of the algorithm in space vehicles positioning.

关键词： Target localization Taylor-serials expansion iterative algorithm Range-sum position

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saddle-point equilibrium of dynamic game for bilinear system

saddle-point equilibrium of dynamic game for bilinear system

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International Conference on Innovative Computing and Communication/Asia-Pacific Conference on Information Technology and Ocean Engineering

作者： Sun, Pei-hong Tang, Lei Kuang, Xiao-lei Guangdong Univ Technol Sch Econ & Management Guangzhou 510520 Guangdong Peoples R China Coll Business Management Inner Mongolia Hohhot 010051 Peoples R China Finance & Econ Coll Hohhot 010051 Peoples R China Finance & Econ Coll Network Ctr Inner Mongolia Hohhot 010051 Peoples R China

ISBN: (纸本)9780769539423

In this paper, saddle point equilibrium problem of the bilinear quadratic performance index dynamic game will be discussed from the basic saddle point equilibrium strategy of the game theory, by introducing a proper transformation, transforming the bilinear systems of nonlinear two points boundary value problem into a "separation" form of the linear two-point boundary, and then finding the saddle-point iteration method using equilibrium strategies.

关键词： saddle-point equilibrium iterative algorithm dynamic game

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Fast Parallel Processing using GPU in computing L1-PCA bases

Fast Parallel Processing using GPU in computing L1-PCA bases

引用

IEEE Region 10 Conference on TENCON 2010

作者： Funatsu, Nobuhiro Kuroki, Yoshimitsu Kurume Natl Coll Technol Kurume Fukuoka 8308555 Japan

ISBN: (纸本)9781424468904

In data-analysis problems with a large number of dimensions, the principal component analysis based on L2-norm ( L2-PCA) is one of the most popular methods, but L2-PCA is sensitive to outliers. Unlike L2-PCA, PCA-L1 is robust to outliers because it utilizes the L1-norm, which is less sensitive to outliers;therefore, some studies have shown the superiority of PCA-L1 to L2-PCA [2][3]. However, PCA-L1 requires enormous computational cost to obtain the bases, because PCA-L1 employs an iterative algorithm, and initial bases are eigenvectors of autocorrelation matrix. The autocorrelation matrix in the PCA-L1 needs to be recalculated for the each basis besides. In previous works [3], the authors proposed a fast PCA-L1 algorithm providing identical bases in terms of theoretical approach, and decreased computational time roughly to a quarter. This paper attempts to accelerate the computation of the L1-PCA bases using GPU.

关键词： GPU L2-PCA L2-norm autocorrelation matrix eigenvectors computer graphic equipment coprocessors data analysis data analysis problem eigenvalues and eigenfunctions fast parallel processing iterative algorithm iterative methods matrix algebra parallel proces

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Regularized Reconstruction of Irregularly Sampled Scalar Light Fields

Regularized Reconstruction of Irregularly Sampled Scalar Lig...

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9th Euro-American Workshop on Information Optics

作者： Uzunov, Vladislav Gotchev, Atanas Egiazarian, Karen Tampere Univ Technol Dept Signal Proc POB 553 FIN-33101 Tampere Finland

ISBN: (纸本)9781424482276

This paper addresses the problem of reconstruction of a monochromatic light field based on data points, irregularly distributed within a volume of interest. Such set up is considered to serve a wide area of applications related with three-dimensional display and beam shaping, where physically inconsistent input data is commonly available. Finite-dimensional models of scalar light fields are used to state the reconstruction problem as matrix inversion. Regularized inversion is done by the Tikhonov method, implemented by the iterative algorithm of conjugate gradients. The problem proves to be ill-posed, where the data points inconsistency is fully compensated by the regularized inversion, showing to be attractive for any application.

关键词： 3D display Tikhonov method beam shaping computer generated holography conjugate gradients finite-dimensional model holography image reconstruction irregularly sampled scalar light field iterative algorithm iterative methods matrix inversion optical pulse shaping regularized inversion regularized reconstruction

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A Reverse Convex Programming for Beamforming in Cognitive Multicast Transmission

A Reverse Convex Programming for Beamforming in Cognitive Mu...

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3rd International Conference on Communications and Electronics

作者： Phan, A. H. Tuan, H. D. Kha, H. H. Ngo, D. T. Univ New South Wales Sch Elect Engn & Telecommun UNSW Sydney NSW 2052 Australia McGill Univ Dept Elect & Comp Engn Montreal PQ Canada

ISBN: (纸本)9781424470587

The cognitive beamforming problems are naturally formulated as indefinite quadratic (nonconvex) optimization programs. The typical methods for solving such optimization problems are to transform them into convex semi-definite programs (SDPs) with additional rank-one (nonconvex and discontinuous) constraints. The rank-one constraints are then dropped to obtain solvable SDP relaxed problems and randomization techniques are employed for seeking the feasible solutions to the original nonconvex optimization problems. In many practical cases, these approaches fail to deliver satisfactory solutions, i.e., their solutions are very far from the optimal ones. In contrast, in this paper the rank-one constraints are equivalently expressed as reverse convex constraints and are incorporated into the optimization problems. Then, we propose an efficient iterative algorithm for solving the nonsmooth reverse convex optimization problems. Our simulations show that our proposed approach yields nearly global optimal solutions with much less computational load as compared to the conventional one.

关键词： array signal processing cognitive beamforming problems cognitive multicast transmission cognitive radio convex programming convex semidefinite programs indefinite quadratic optimization iterative algorithm iterative methods multicast communication optimisation randomization techniques reverse convex programming

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The Novel iterative Interference Alignment Scheme for the SISO Interference Channel

The Novel Iterative Interference Alignment Scheme for the SI...

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2010 IEEE 71st Vehicular Technology Conference

作者： Shen, Hui Li, Bin Huawei Technol Dept Wireless Res Shenzhen Peoples R China

ISBN: (纸本)9781424425198

In this paper, we propose a novel iterative interference alignment (IA) scheme for the single-input single-output (SISO) interference channel system using minimum total mean square error criterion under the individual transmitter power constraints. We show that interference alignment under such criterion could be realized through an iterative algorithm. The convergence of the proposed algorithm is discussed. Simulation results, compared with several existing IA schemes, show that the proposed scheme can effectively improve the BER performance of the SISO interference channel system while maintaining the same degree of freedom as Cadambe-Jafar scheme.

关键词： SISO interference channel interference alignment iterative algorithm

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