The Rate Constrained Block Matching Algorithm, (RC-BMA), introduced in this paper, jointly minimizes Displaced Frame Di erence (DFD) variance and entropy or conditional entropy of motion vectors for determining the motion vectors. It is intended for use in low rate video coding applications where the contribution of the motion vector rate to the overall coding rate might be signi cant. The DFD ...

Besides its importance in statistical physics and information theory, the Boltzmann-Shannon entropy S has become one of the most widely used and misused summary measures of various attributes (characteristics) in diverse fields of study. It has also been the subject of extensive and perhaps excessive generalizations. This paper introduces the concept and criteria for value validity as a means o...

In this work, we present an investigation on the spatial entanglement entropies in the helium atom by using highly correlated Hylleraas functions to represent the S-wave states. Singletspin 1sns 1 S e states (with n = 1 to 6) and triplet-spin 1sns 3 S e states (with n = 2 to 6) are investigated. As a measure on the spatial entanglement, von Neumann entropy and linear entropy are calculated. Fur...

In this paper the notion of robust entropy and subsequently, robust entropy rate for a family of discrete time uncertain sources is introduced. When the uncertainty is described by a relative entropy constraint between the set of uncertain source densities and a given nominal source density, the solution to this robust notion of information is presented and its connection with other notions of ...

In image processing, one of the most efficient techniques for image segmentation is entropy-based thresholding. In this work it was applied a generalized entropy formalism that represents a recent development in statistical mechanics. We propose, for the first time, an image thresholding method using a nonextensive entropy regarding the presence of nonadditive information content in some image ...

Stationarity is investigated in the context of a general multiple-input–multipleoutput (MIMO) fading channel with memory. It is shown that stationary processes behave nicely as one does expect. Concretely, this reports concentrates on three topics with regard to stationarity: firstly it is proven that—under weak conditions on the channel—any stationary channel model will have a capacity-achievi...

Entropy generation in two-dimensional Rayleigh-Bénard convection at different Prandtl number (Pr) are investigated in the present paper by using the lattice Boltzmann Method. The major concern of the present paper is to explore the effects of Pr on the detailed information of local distributions of entropy generation in virtue of frictional and heat transfer irreversibility and the overall entr...

The relative entropy rate is a natural and useful measure of distance between two stochastic processes. In this paper we study the relative entropy rate between two Hidden Markov Processes (HMPs), which is of both theoretical and practical importance. We give new results showing analyticity, representation using Lyapunov exponents, and Taylor expansion for the relative entropy rate of two discr...