the charge-transfer complexation reaction between iodine and dibenzo- 18-crown- 6 (db18c6) has been studied spectrophotometrically in chloroform solution at different temperatures. the resulting donor-acceptor complex was formulated as (db 18c6…i )i . the spectrophotometric results , as well as the conductivity measurements, indicated that the gradual release of tiiodide ion from its contact io...

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 ...

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 ...

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...

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...

It is well established that the notion of min-entropy fails to satisfy the chain rule of the form H(X,Y ) = H(X|Y )+ H(Y ), known for Shannon Entropy. The lack of a chain rule causes a lot of technical difficulties, particularly in cryptography where the chain rule would be a natural way to analyze how min-entropy is split among smaller blocks. Such problems arise for example when constructing ...

In this work, we extend a variable-length source coding theorem for discrete memoryless sources to ergodic time-invariant Markov sources of arbitrary order. To accomplish this extension, we establish a formula for the R enyi entropy rate limn!1 H(n)=n. The main tool used to obtain the R enyi entropy rate result is Perron-Frobenius theory. We also examine the expression of the R enyi en-tropy ra...

Standard parameters of heart rate variability are restricted in measuring linear effects, whereas nonlinear descriptions often suffer from the curse of dimensionality. An approach which might be capable of assessing complex properties is the calculation of entropy measures from normalised periodograms. Two concepts, both based on autoregressive spectral estimations are introduced here. To test ...

New entropy measures have been recently introduced for the quantification of the complexity of networks. Most of these entropy measures apply to static networks or to dynamical processes defined on static complex networks. In this paper we define the entropy rate of growing network models. This entropy rate quantifies how many labeled networks are typically generated by the growing network mode...