The space time spreading, superimposed training sequences, and space-time coding are used to present a multiple input and multiple output (MIMO) systems model, and a closed-form of average error probability upper bo...The space time spreading, superimposed training sequences, and space-time coding are used to present a multiple input and multiple output (MIMO) systems model, and a closed-form of average error probability upper bound expression for MIMO correlated frequency-selective channel in the presence of interference (co-channel interference and jamming signals) is derived. Moreover, the correlation at both ends of the wireless link that can be incorporated equivalently into correlation at the transmit end is also derived, which is significant to analyze space-time link algorithm of MIMO systems.展开更多
A structure iterated by the unbalanced Feistel networks is introduced. It is showed that this structure is provable resistant against linear attack. The main result of this paper is that the upper bound of r-round (r...A structure iterated by the unbalanced Feistel networks is introduced. It is showed that this structure is provable resistant against linear attack. The main result of this paper is that the upper bound of r-round (r≥2m) linear hull probabilities are bounded by q^2 when around function F is bijective and the maximal linear hull probabilities of round function F is q. Application of this structure to block cipher designs brings out the provable security against linear attack with the upper bounds of probabilities.展开更多
The space-time spreading (SIS), superimposed training sequences and space-time coding (STC) are adopted to obtain a closed-form of average error probability upper bound and maximum likelihood esti- mation expressi...The space-time spreading (SIS), superimposed training sequences and space-time coding (STC) are adopted to obtain a closed-form of average error probability upper bound and maximum likelihood esti- mation expression for multiple input and multiple output (MIMO) correlated frequency-selective channel in the presence of interference (colored interference). Moreover, the correlation at both ends of the wire- less link that can be incorporated equivalently into correlation at the transmit end is derived. Finally, the mean square error (MSE) of the maximum likelihood estimate is also derived.展开更多
We obtain new upper tail probabilities of m-times integrated Brownian motions under the uniform norm and the Lp norm. For the uniform norm, Talagrand's approach is used, while for the Lp norm, Zolotare's appro...We obtain new upper tail probabilities of m-times integrated Brownian motions under the uniform norm and the Lp norm. For the uniform norm, Talagrand's approach is used, while for the Lp norm, Zolotare's approach together with suitable metric entropy and the associated small ball probabilities are used. This proposed method leads to an interesting and concrete connection between small ball probabilities and upper tail probabilities(large ball probabilities) for general Gaussian random variables in Banach spaces. As applications,explicit bounds are given for the largest eigenvalue of the covariance operator, and appropriate limiting behaviors of the Laplace transforms of m-times integrated Brownian motions are presented as well.展开更多
This paper analyzes a continuous time risk model with a linear model used to model the claim process. The time is discretized stochastically using the times when claims occur, using Doob’s stopping time theorem and...This paper analyzes a continuous time risk model with a linear model used to model the claim process. The time is discretized stochastically using the times when claims occur, using Doob’s stopping time theorem and martingale inequalities to obtain expressions for the ruin probability as well as both expo- nential and non-exponential upper bounds for the ruin probability for an infinite time horizon. Numerical re- sults are included to illustrate the accuracy of the non-exponential bound.展开更多
Our aim is to present some limit theorems for capacities. We consider a sequence of pairwise negatively correlated random variables. We obtain laws of large numbers for upper probabilities and 2-alternating capacities...Our aim is to present some limit theorems for capacities. We consider a sequence of pairwise negatively correlated random variables. We obtain laws of large numbers for upper probabilities and 2-alternating capacities, using some results in the classical probability theory and a non-additive version of Chebyshev's inequality and Boral-Contelli lemma for capacities.展开更多
基金the National Basic Research Program of China "973"(2008CB317109)the National "863" High-Tech Research and Development Program (2002AA123032)+2 种基金the National Natural Science Foundation of China (60572054)the Innovative Research Team Program of University of Electronic and Technology of Chinathe Doctor Foundation of Guilin University of Electronic Technology.
文摘The space time spreading, superimposed training sequences, and space-time coding are used to present a multiple input and multiple output (MIMO) systems model, and a closed-form of average error probability upper bound expression for MIMO correlated frequency-selective channel in the presence of interference (co-channel interference and jamming signals) is derived. Moreover, the correlation at both ends of the wireless link that can be incorporated equivalently into correlation at the transmit end is also derived, which is significant to analyze space-time link algorithm of MIMO systems.
基金Supported by the fund of National Laboratory for Modern Communications (5143603ZDS0601),the outstanding youth science foundation of Henan (0312001800).
文摘A structure iterated by the unbalanced Feistel networks is introduced. It is showed that this structure is provable resistant against linear attack. The main result of this paper is that the upper bound of r-round (r≥2m) linear hull probabilities are bounded by q^2 when around function F is bijective and the maximal linear hull probabilities of round function F is q. Application of this structure to block cipher designs brings out the provable security against linear attack with the upper bounds of probabilities.
基金the National High Technology Research and Development Program of China(2002AA123032)
文摘The space-time spreading (SIS), superimposed training sequences and space-time coding (STC) are adopted to obtain a closed-form of average error probability upper bound and maximum likelihood esti- mation expression for multiple input and multiple output (MIMO) correlated frequency-selective channel in the presence of interference (colored interference). Moreover, the correlation at both ends of the wire- less link that can be incorporated equivalently into correlation at the transmit end is derived. Finally, the mean square error (MSE) of the maximum likelihood estimate is also derived.
基金supported by the Simons Foundation(Grant No.246211)
文摘We obtain new upper tail probabilities of m-times integrated Brownian motions under the uniform norm and the Lp norm. For the uniform norm, Talagrand's approach is used, while for the Lp norm, Zolotare's approach together with suitable metric entropy and the associated small ball probabilities are used. This proposed method leads to an interesting and concrete connection between small ball probabilities and upper tail probabilities(large ball probabilities) for general Gaussian random variables in Banach spaces. As applications,explicit bounds are given for the largest eigenvalue of the covariance operator, and appropriate limiting behaviors of the Laplace transforms of m-times integrated Brownian motions are presented as well.
基金Supported by the National Natural Science Foundation of China (Nos. 19831020 and 70003002) and the Fundamental Research Foundation of School of Economics and Management,Tsinghua University
文摘This paper analyzes a continuous time risk model with a linear model used to model the claim process. The time is discretized stochastically using the times when claims occur, using Doob’s stopping time theorem and martingale inequalities to obtain expressions for the ruin probability as well as both expo- nential and non-exponential upper bounds for the ruin probability for an infinite time horizon. Numerical re- sults are included to illustrate the accuracy of the non-exponential bound.
基金Supported by the National Basic Research Program of China (973 Program, No. 2007CB814901)
文摘Our aim is to present some limit theorems for capacities. We consider a sequence of pairwise negatively correlated random variables. We obtain laws of large numbers for upper probabilities and 2-alternating capacities, using some results in the classical probability theory and a non-additive version of Chebyshev's inequality and Boral-Contelli lemma for capacities.