Bernard Levy | University of California, Davis (original) (raw)

Bernard Levy

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Papers by Bernard Levy

IEEE Transactions on Circuits and Systems II: Express Briefs

3GPP has recently accelerated the standardization process for Device-to-Device communications. Si... more 3GPP has recently accelerated the standardization process for Device-to-Device communications. Sidelink, which refers to the radio link between two user equipments (UEs), is a major update in 3GPP Release 12. In this paper, we will first introduce sidelink related structures and procedures in Release 12. Based on basic LTE signaling schemes, we propose methods of using demodulation reference signal (DMRS), which is used as reference signal in both uplink and sidelink, for advance D2D neighbor discovery and resource scheduling of D2D transmissions. Our study shows that reference signal of normal LTE channels can be well exploited to facilitate the newly proposed sidelink communications.

Proceedings of the 16th International Symposium on Power Semiconductor Devices & IC's

1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1981

Systems & Control Letters, 1990

SIAM Journal on Numerical Analysis, 1989

Circuits, Systems, and Signal Processing, 1986

GLOBECOM 2022 - 2022 IEEE Global Communications Conference, Dec 4, 2022

This paper considers the design of a minimax test for two hypotheses where the actual probability... more This paper considers the design of a minimax test for two hypotheses where the actual probability densities of the observations are located in neighborhoods obtained by placing a bound on the relative entropy between actual and nominal densities. The minimax problem admits a saddle point which is characterized. The robust test applies a nonlinear transformation which flattens the nominal likelihood ratio in the vicinity of one. Results are illustrated by considering the transmission of binary data in the presence of additive noise.

A contraction analysis of risk-sensitive Riccati equations is proposed. When the state-space mode... more A contraction analysis of risk-sensitive Riccati equations is proposed. When the state-space model is reachable and observable, a block-update implementation of the risk-sensitive filter is used to show that the N-fold composition of the Riccati map is strictly contractive with respect to the Riemannian metric of positive definite matrices, when N is larger than the number of states. The range of values of the risk-sensitivity parameter for which the map remains contractive can be estimated a priori. It is also found that a second condition must be imposed on the risk-sensitivity parameter and on the initial error variance to ensure that the solution of the risk-sensitive Riccati equation remains positive definite at all times. The two conditions obtained can be viewed as extending to the multivariable case an earlier analysis of Whittle for the scalar case.