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Entropy amplification by aperiodic noise and side information problems

Entropy amplification by aperiodic noise and side informatio...

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IEEE International Symposium on Information Theory

作者： A.S. Cohen R. Zamir Division of Applied Mathematics Brown University Providence RI USA Department of Electrical Engineering Tel-Aviv University Israel

A subset of an Abelian group has unique differences if for all nonzeros. when viewed as additive noise, sets with unique differences amplify the output entropy as much as possible for a large class of input distributions, which is known as entropy amplification property. Aperiodic (noise) distributions arise as extreme cases in the investigation of the rate loss in side information problems such as channel coding with additive interference known at the encoder and lossy source coding with side information at the decoder. The decoder outputs a reconstruction, which is required to satisfy a distortion constraint. Reconstructing the clean source with some distortion is equivalent to reconstructing the encrypted source with the same distortion. Using the EAP, the rate loss can be arbitrarily large and arbitrarily close to 100%.

关键词： Entropy Additive noise Decoding Difference equations Random variables Cryptography Rate-distortion mathematics Autocorrelation Upper bound

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Observers for a class of descriptor systems with Lipschitz constraint

Observers for a class of descriptor systems with Lipschitz c...

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American Control Conference (ACC)

作者： Guoping Lu D.W.C. Ho Y. Zheng Yufan Zheng Department of Applied Mathematics Nantong Institute of Technology Nantong Jiangsu China Department of Electrical and Electronic Engineering The University of Melbourne Victoria Australia

This paper considers observer design for a class of continuous-time descriptor systems with Lipschitz constraint. The constraint is a function of time, state and control input variables of the system. A new and simple approach is developed to design both full-order and reduced-order observers of the system. The sufficient condition is equivalent to the solvability of a linear matrix inequality. An illustrative example is presented to show the effectiveness of the proposed approach.

关键词： Observers Symmetric matrices Sufficient conditions Linear matrix inequalities Nonlinear equations Councils mathematics Control systems Input variables State estimation

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Control synchronization of differential mobile robots 6

Control synchronization of differential mobile robots

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6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004

作者： Nijmeijer, Henk Rodriguez-Angeles, Alejandro Eindhoven University of Technology Department of Mechanical Engineering P.O. Box 513 Eindhoven5600 MB Netherlands Mexican Petroleum Institute Program of Applied Mathematics and Computation Eje Central Lazaro Cardenas 152 Mexico D.F.07730 Mexico

In this paper a synchronization controller for differential mobile robots is proposed. The synchronization goal is to control the angular position of each wheel to a desired trajectory and at the same time the differential (or synchronization) error between the angular position of the two wheels. In this way it is ensured that the mobile robot follows the desired path trajectory with the proper orientation. The controller is based on a computed torque architecture and a set of observers to estimate the angular velocity of the wheels. So that the controller only requires angular position measurements of the wheels. Copyright © 2004 IFAC.

关键词： Synchronization

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Throughput optimal power and rate control for queued multiaccess and broadcast communications

Throughput optimal power and rate control for queued multiac...

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IEEE International Symposium on Information Theory

作者： E.M. Yeh A.S. Cohen Department of Electrical Engineering Yale University New Heaven CT USA Division of Applied Mathematics Brown University RI USA

An adaptive joint power control/rate allocation policies which maximize system throughput for multiaccess and broadcast fading channels with random packet arrivals and queueing is established in this paper.

关键词： Throughput Optimal control Communication system control Broadcasting Power control Fading Transmitters programmable control Adaptive control Stability

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Periodicity in Δ-modulated feedback control 6

Periodicity in Δ-modulated feedback control

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6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004

作者： Xia, X. Chen, G. Gal, R. Zinober, A.S. Department of Electrical Electronic and Computer Engineering University of Pretoria Pretoria0002 South Africa Department of Electronic Engineering City University of Hong Kong 83 Tat Chee Avenue Kowloon Hong Kong Department of Basic Science Liaaning Technical University Fuxin123000 China Department of Applied Mathematics University of Sheffield SheffieldS10 2TN United Kingdom

Δ-modulated Feedback control of a linear system introduces nonlinearity into the system through switchings between two input values. It has been found that Δ-modulation gives rise to periodic orbits. The existence of periodic points of all orders of Signia-Delta modulation with "leaky" integration is completely characterized by some interesting groups of polynomials with "sign" coefficients. The results are naturally generalized to Sigma-Deita modulations with multiple delays. Further extensions relate to the existence of periodic points arising from Δ-modulated feedback control of a stable linear system in an arbitrary direction, for which some necessary and sufficient conditions are given. Copyright © 2004 IFAC.

关键词： Feedback control

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Time-frequency and time-scale canonical representations of doubly spread channels

Time-frequency and time-scale canonical representations of d...

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European Signal Processing Conference (EUSIPCO)

作者： Radu Balan H. Vincent Poor Scott Rickard Sergio Verdú Siemens Corporate Research Princeton New Jersey Program in Applied and Computational Mathematics Princeton University Princeton New Jersey U.S.A Electronic and Electrical Engineering Department University College Dublin Ireland

A general technique for the generation of canonical channel models and demonstrate the application of the technique to time-frequency and time-scale integral kernel operators is developed. As an example, the derivation of Sayeed/Aazhang's time-frequency canonical channel characterization that forms the basis for the time-frequency RAKE receiver is shown. Then, a canonical time-scale channel model for wideband communication is developed.

关键词： Abstracts Generators

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Stabilization for singular bilinear systems

Stabilization for singular bilinear systems

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American Control Conference (ACC)

作者： Guoping Lu D.W.C. Ho Yufan Zheng Department of Applied Mathematics Nantong Institute of Technology Nantong Jiangsu China Department of Mathematics City University of Hong Kong Hong Kong China Department of Electrical and Electronic Engineering University of Melbourne VIC Australia

This paper considers globally asymptotic stabilization for a class of singular bilinear systems. By the system matrices a sufficient condition for the globally asymptotic stabilization is presented and under the condition continuous static state feedback and dynamic output feedback controllers are constructed, respectively. By means of LaSalle invariant principle and the separation principle for singular nonlinear systems the globally asymptotic stability of the closed loop systems is verified.

关键词： Nonlinear systems State feedback Sufficient conditions Output feedback Linear matrix inequalities Asymptotic stability Nonlinear control systems Control systems Robust stability Lyapunov method

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Space-time signaling based on Kerdock and Delsafte-Goethals codes

Space-time signaling based on Kerdock and Delsafte-Goethals ...

引用

IEEE International Conference on Communications (ICC)

作者： A.R. Calderbank S.N. Diggavi N. Al-Dhahir Program in Applied and Computational Mathematics Princeton University Princeton NJ USA School of Computer and Communication Sciences Swiss Federal Institute of Technology Lausanne Switzerland Department of Electrical Engineering University of Technology Dallas TX USA

This paper designs space-time codes for standard PSK and QAM signal constellations that have flexible rate, diversity and require no constellation expansion. Central to this construction are binary partitions of the PSK and QAM constellations that appear in codes designed for the Gaussian channel. The space-time codes presented here are designed by separately specifying the different levels of the binary partition in the space-time array. The individual levels are addressed by either the binary symmetric matrices associated with codewords in a Kerdock code or other families of binary matrices. Binary properties of these sets are sufficient to verify the diversity property of the codewords in the complex domain. Larger sets of binary symmetric matrices (such as the set used in Delsarte-Goethals codes) are used to trade diversity protection for increased rate.

关键词： Space time codes Phase shift keying Quadrature amplitude modulation Constellation diagram Symmetric matrices Binary phase shift keying Quadrature phase shift keying Transmitting antennas Fading mathematics

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A novel key management scheme for dynamic access control in a user hierarchy

A novel key management scheme for dynamic access control in ...

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IEEE Annual International Computer Software and Applications Conference (COMPSAC)

作者： Tzer-Shyong Chen Yu-Fang Chung Chang-Sin Tian Department of Information Management Tunghai University Taiwan Department of Electrical Engineering National Taiwan University of Science and Technology Taiwan Department of Applied Mathematics National Chiayi University Taiwan

ISBN: (纸本)0769522092

Considering the solution of dynamic access problems in a user hierarchy, a novel scheme based on one-way hash function is proposed to manage the cryptographic keys in the paper The scheme attempts to achieve both efficiency and non-iteration in deriving the successor secret key. Besides, the other issues in relation with dynamic access control problems, such as adding/deleting classes, adding/deleting relationships and changing secret keys, can be held good to the scheme. In view of security, a competent central authority must provide the user a convenient way to change his/her key at any time; therefore, the design toward the algorithm in the paper contains such a function. What weight to mention especially among these characteristics of the scheme is the simplification of procedure in changing the private key, and no other current keys need altering simultaneously.

关键词： Access control Data security Cryptography Information security Communication system security engineering management Information management mathematics Algorithm design and analysis Computer networks

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Wavelet galerkin algorithms for ground penetrating radar imaging

Wavelet galerkin algorithms for ground penetrating radar ima...

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Proceedings of the International Conference on Ground Penetrating Radar, GPR

作者： Fengshan Liu Yi Ling Xiquan Shi Xianggen Xia Applied Mathematics Research Center Delaware State University Dover DE USA Department of Electrical and Computer Engineering University of Delaware Newark DE USA

ISBN: (纸本)9090179593

A new algorithm for fixed-offset Ground Penetrating Radar imaging is derived. The forward model of this inversion scheme is based on the Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Wavelet Galerkin Algorithms for solving integral equations. We use the Laplacian operator to regularize the ill-posedness of the inverse problem. Numerical results are provided to illustrate performance of the inversion scheme.

关键词： Ground penetrating radar Optical imaging Approximation methods Green function Optical scattering Radar scattering Inverse problems Radar imaging Integral equations Laplace equations

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