РАСЧЕТ ЗАДЕРЖЕК И ПОТЕРЬ НАПРЯЖЕНИЯ В МЕЖСОЕДИНЕНИЯХ БИС С ПОМОЩЬЮ КОМПАКТНОЙ ЭЛЕКТРО-ТЕПЛОВОЙ SPICE-МОДЕЛИ
General purpose of this work is development of program tools for delay modeling in LSI interconnections with account for thermal effects. Authors use the interconnection model in the form of distributed RC-circuit, which parameters depends on the chip surface temperature distribution. The chip surface temperature is calculated by program tool “Overheat-MC”. Interconnection model parameters – resistances and capacitances of RC circuit sections, are calculated on the basis of temperature distribution along the interconnection. This approach allows to take into account the influence of chip non-uniform overheat on interconnection electrical characteristics. For the simplification of interconnection model and CPU time decreasing the multi-sectional RC - model reduced to compact Pi-shaped equivalent circuit with temperature-depended parameters. It is shown that in conversion to Pi-shaped circuit, the signal magnitude error is at most 7%, the signal phase error is 2%. In this case CPU time decreases on 25-30%.
In case of the modern sizes of chips influence of interconnections is so significant that need interconnections compact electrical model of creation appeared. This model has to consider effects of corners that circuit developers could imitate most precisely practical circuits at their design. The purpose of this paper is to develop compact SPICE models for standard configurations of LSI interconnections. For achievement of this goal the interconnection model in the form of the distributed RC circuit is used. Proceeding from potential distribution along the interconnection, his model parameters – resistance and the capacity of RC circuit links are calculated that allows to consider influence of bends on interconnection electric properties. For simplification of interconnection model and reduction of a counting duration the multi-sectional RC model is reduced in the compact Pi-shaped equivalent circuit. For each of the main topology the parameters for Pi-shaped equivalent circuits, which give accuracy in the frequency parameters of 98% on a phase and 93% on amplitude, are calculated. Upon transition to the Pishaped equivalent circuit the CPU time is reduced by 28%.
In this paper, a new approach to the construction of a new computational scheme for calculating the reduced system of linear differential equations based on Euler's method. The idea of development is based on the reduction of mathematical expressions that define explicit and implicit Euler methods. New computational scheme provides benefits on time calculating unknown quantities in the local area, designated by the user, 2-3 orders of magnitude compared with the calculation of the unknown complete model with traditional methods.
The article is devoted to the application of legislation practice on the conclusion, amendment and termination of employment contract.
This article contains four parts. In the first section I investigate the relations between the transcendental and the mundane aspects of the facticity of the phenomenological reduction. The second section is dedicated to the examination of the transcendental situation of the reduction in terms of the «ongoing constitution» and the «indetermination of the transcendental life». In the third section I problematize the phenomenological research as an «enrichment of facticity». It helps me to provide in the fourth section the conclusion which concerns the facticity of the transcendental and the mundane modes of being.
Richir M. Sur l’inconscient phénoménologique: Épochè , clignotement et réduction phénoménologiques // L’art du comprendre. №8. Paris: Vrin, 1999. P. 116–131
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We also study the dependency of the solution parameters on the spectral curves.
Generalized error-locating codes are discussed. An algorithm for calculation of the upper bound of the probability of erroneous decoding for known code parameters and the input error probability is given. Based on this algorithm, an algorithm for selection of the code parameters for a specified design and input and output error probabilities is constructed. The lower bound of the probability of erroneous decoding is given. Examples of the dependence of the probability of erroneous decoding on the input error probability are given and the behavior of the obtained curves is explained.
The dynamics of a two-component Davydov-Scott (DS) soliton with a small mismatch of the initial location or velocity of the high-frequency (HF) component was investigated within the framework of the Zakharov-type system of two coupled equations for the HF and low-frequency (LF) fields. In this system, the HF field is described by the linear Schrödinger equation with the potential generated by the LF component varying in time and space. The LF component in this system is described by the Korteweg-de Vries equation with a term of quadratic influence of the HF field on the LF field. The frequency of the DS soliton`s component oscillation was found analytically using the balance equation. The perturbed DS soliton was shown to be stable. The analytical results were confirmed by numerical simulations.
Radiation conditions are described for various space regions, radiation-induced effects in spacecraft materials and equipment components are considered and information on theoretical, computational, and experimental methods for studying radiation effects are presented. The peculiarities of radiation effects on nanostructures and some problems related to modeling and radiation testing of such structures are considered.
This volume presents new results in the study and optimization of information transmission models in telecommunication networks using different approaches, mainly based on theiries of queueing systems and queueing networks .
The paper provides a number of proposed draft operational guidelines for technology measurement and includes a number of tentative technology definitions to be used for statistical purposes, principles for identification and classification of potentially growing technology areas, suggestions on the survey strategies and indicators. These are the key components of an internationally harmonized framework for collecting and interpreting technology data that would need to be further developed through a broader consultation process. A summary of definitions of technology already available in OECD manuals and the stocktaking results are provided in the Annex section.