scholarly journals Time Delay Extraction from Frequency Domain Data Using Causal Fourier Continuations for High-Speed Interconnects

Electronics ◽  
2015 ◽  
Vol 4 (4) ◽  
pp. 799-826
Author(s):  
Lyudmyla Barannyk ◽  
Hung Tran ◽  
Aicha Elshabini ◽  
Fred Barlow
Keyword(s):  
Time Delay ◽  
Frequency Domain ◽  
High Speed ◽  
High Speed Interconnects ◽  
Delay Extraction

scholarly journals Analysis of the Propagation in High-Speed Interconnects for MIMICs by Means of the Method of Analytical Preconditioning: A New Highly Efficient Evaluation of the Coefficient Matrix

2021 ◽  
Vol 11 (3) ◽  
pp. 933
Author(s):  
Mario Lucido
Keyword(s):  
Integral Equation ◽  
Integrated Circuits ◽  
High Speed ◽  
Coefficient Matrix ◽  
Single Step ◽  
Integral Theorem ◽  
Acceleration Technique ◽  
Cauchy Integral Theorem ◽  
Integral Equation Formulation ◽  
High Speed Interconnects

The method of analytical preconditioning combines the discretization and the analytical regularization of a singular integral equation in a single step. In a recent paper by the author, such a method has been applied to a spectral domain integral equation formulation devised to analyze the propagation in polygonal cross-section microstrip lines, which are widely used as high-speed interconnects in monolithic microwave and millimeter waves integrated circuits. By choosing analytically Fourier transformable expansion functions reconstructing the behavior of the fields on the wedges, fast convergence is achieved, and the convolution integrals are expressed in closed form. However, the coefficient matrix elements are one-dimensional improper integrals of oscillating and, in the worst cases, slowly decaying functions. In this paper, a novel technique for the efficient evaluation of such kind of integrals is proposed. By means of a procedure based on Cauchy integral theorem, the general coefficient matrix element is written as a linear combination of fast converging integrals. As shown in the numerical results section, the proposed technique always outperforms the analytical asymptotic acceleration technique, especially when highly accurate solutions are required.

Simulation on the Regulating Characteristics of the Pulse Modulation Hydraulic Hammer

2011 ◽  
Vol 422 ◽  
pp. 176-183
Author(s):  
Gang Wang ◽  
Yu Wan Cen
Keyword(s):  
Time Delay ◽  
Simulation Model ◽  
Impact Energy ◽  
High Speed ◽  
Impact Frequency ◽  
Pulse Modulation ◽  
Motion Equations ◽  
Hydraulic Hammer ◽  
Working Frequency ◽  
Simulation Results

To improve the regulating characteristics of impact energy, simplify structure of hydraulic hammer, a new pulse modulation hydraulic hammer is presented in the paper which can help regulate its impact frequency easily. The motion equations of the hydraulic hammer are established, its simulation model is obtained and the dynamic simulation is carried out on AMESim. The dynamics of high-speed ON/OFF valve is taken into account in the simulation model. The tendency of simulation results conforms to experimental results; it shows that the pulse modulation hydraulic hammer is feasible, and the hydraulic hammer model is reasonable. The time delay in high working frequency is also analyzed.

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