We introduce the entropy rate of multidimensional cellular automata. This number is invariant under shift–commuting isomorphisms; as opposed to the entropy of such CA, it is always finite. The invariance property and the finiteness of the entropy rate result from basic results about the entropy of partitions of multidimensional cellular automata. We prove several results that show that entropy ...

Laser pulse heating of solid surface and entropy generation during the heating process are considered. Time exponentially decaying pulse is accommodated in the analysis and the laser pulse parameter (b1/b2) resulting in minimum entropy generation rate is computed. Analytical solutions for temperature rise are presented and volumetric entropy generation rate is formulated. Two laser pulses resul...

Estimation of the entropy rate of a stochastic process with unknown statistics, from a single sample path is a classical problem in information theory. While universal estimators for general families of processes exist, the estimates have not been accompanied by guarantees for fixed-length sample paths. We provide finite sample bounds on the convergence of a plug-in type estimator for the entro...

the aim of this study is to show that the measures derived from electrocardiogram (ecg) signals many a time perform better than the same measures obtained from heart rate (hr) signals. a comparison was made to investigate how far the nonlinear symbolic dynamics approach helps to characterize the nonlinear properties of ecg signals and hr signals, and thereby discriminate between normal and cong...

This paper outlines a new perceptual low bit rate audio coding scheme based on adapted wavelet representations. It claims wavelet tree and filter adaptation attending to a perceptual entropy-based method. To achieve such adaptive structure, a periodized wavelet packet transform is performed for each audio frame. After the transform, the encoder employs scalar adaptive quantization, controlled b...

We present the first exponentiation algorithm that uses the entropy of the source of the exponent to improve on existing exponentiation algorithms when the entropy is smaller than (1 + w(S)/l(S)), where w(S) is the Hamming weight of the exponent, and l(S) is its length. For entropy 1 it is comparable to the best-known general purpose exponentiation algorithms.

Proprioception in the first two joints of crustacean limbs is mediated by chordotonal organs that utilize spike-mediated information coding and transmission and by nonspiking proprioceptive afferents that use graded transmission at information rates in excess of 2,500 bits/s. Chordotonal organs operate in parallel with the graded receptors, but the information rates of the spiking chordotonal a...

using gaussian 03, software the thermodynamic functions such as gibbs free energy, g, enthalpy, h, and entropy, s, of alanine and valine amino acids were theoretically studied at different solvents. first, the density functional theory (b3lyp) level with 3-21g, 6-31g and 6-31+g basis sets were employed to optimization of isolated alanine and valine amino acids in the gas phase. moreover, vib...