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The chapter presents the derivation of a 2D time domain model of two bare conducting convex obstacles. The model includes amplitude diffraction and first-order transition zone diffraction, called the slope diffraction. The considered model is represented by its impulse response. Thanks to the introduction of some vital approximations of the expressions occurring in amplitude term and slope term of...
The paper presents a new approach to time-domain effective simulation of ultra-wideband (UWB) electromagnetic (EM) wave propagation when a source is placed on convex obstacle. The frequency domain uniform theory of diffraction (UTD) and rational approximation exploiting the vector fitting algorithm (VF) is used for deriving the closed form time domain functions of the radiated and coupled fields.
The paper presents the derivation of a 2D time-domain model of two bare conducting convex obstacles for the case of UWB baseband signal propagation. The model includes amplitude diffraction and first order transition zone diffraction, called the slope diffraction. The considered model is represented by its impulse response. Thanks to the introduction of some vital approximations of the expressions...
The paper presents a sensitivity analysis of step and ramp response of VLSI interconnects to geometrical dimensions of microstrip model of higher level interconnects. The method is based on analytical form of VLSI output response calculated using multiple scales method.
In the paper there is presented the 2D time-domain model of two bare convex obstacles model, which includes an application of an amplitude and the first order transition zone diffraction process, called slope diffraction. The considered model is represented by its impulse response. Thanks to the usage of some approximations the formulation for this impulse response can be presented in a closed form...
Electromagnetic interference (EMI) at radio frequencies (RF) in compact integrated power electronic converter modules can be suppressed using lossy transmission line lowpass filters. Paper presents results of numerical simulations of proposed in [1] filter structure with modifications. Transfer function, current distribution and electromagnetic field distribution are considered. Structures are analyzed...
The paper presents the sensitivity analysis of closed form formula for step response of on-chip VLSI interconnect. The formula is calculated with multiple scales method the sensitivity of the method is analyzed and compared with the sensitivity of simulation of the interconnect in SPICE program.
The paper presents a new method of deriving the closed form formula for the output voltage and threshold crossing time for low-loss on-chip upper layer interconnects The threshold crossing time solution for the ramp excitation is derived. The calculation of output voltage of two coupled interconnects for the ramp input is also presented.
Interconnect parameters play an important role in signal propagation in VLSI systems. In the paper we present the sensitivity analysis to parameters of typical on-chip interconnects for the step and ramp response. In the paper we show also the sensitivity to parameters for the threshold crossing time. We compute the output response of the interconnect and the threshold crossing time formulas based...
In the paper the new method of computing the threshold crossing times for the low-loss interconnect is presented. The interconnect output response is calculated using the multiple scales method with the perturbation parameter related to the line losses. From the derived formula, the analytical form for threshold crossing time is obtained. The algorithm that uses the step response calculations for...
The paper is concerned with the simulation of signal propagation on low-loss highly inductive interconnect. The analytical solution of the output voltage signal is derived by solving the transmission line model of interconnect with multiple scales perturbation method of differential equation solving. The usefulness and limitations of the method are considered and some practical examples are presented.
In the paper we present the way of obtaining the time domain model of the Bertoni's frequency domain model of the hill presented in (H.L. Bertoni, 2000). Direct time domain analyses are more convenient when we consider the UWB propagation mechanism. The Bertoni's frequency domain model was derived through the usage of the uniform theory of diffraction (UTD) presented by P. H. Pathak (1979). Here the...
In this paper we use the uniform geometrical theory of diffraction in time domain to model distortion of a particular UWB pulse in the channel containing hill. The distortion of an UWB pulse is difficult to model using statistical measurements, therefore it is better to do this in a deterministic way, as it is in the case of the UTD. UTD related to electromagnetic wave scattering by convex surfaces...
In the paper we present our approach to estimation of the transmission line step response. The main idea of the presented approach is to approximate the output signal of the lossy line, by analysis the behavior of the lossless transmission line. The output signal is expanded in the series of traveling waves. We construct the conditions when the first incident wave of lossless line is good approximation...
In the paper we present the approach in order to estimate a crossing time of the step response for the lossless and low-loss transmission lines. There is derived a closed form solutions to the crossing time for such lines when the overshoots appear. For the low-loss lines the method bases on the simplification that allows to specify the exact terms in the step response calculations
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