Download or read book Asymptotic Waveform Evaluation written by Eli Chiprout and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intense drive for signal integrity has been at the forefront ofrapid and new developments in CAD algorithms. Thousands ofengineers, intent on achieving the best design possible, use SPICE on a daily basis for analog simulation and general circuit analysis. But the strained demand for high data speeds, coupled with miniaturizationon an unprecedented scale, has highlighted the previously negligible effects of interconnects; effects which are not always handled appro priately by the present levels of SPICE. Signals at these higher speeds may be degraded by long interconnect lengths compared to the increasingly shorter sig nal rise times. Interconnect structures can be diverse (pins, connectors, leads, microstrips, striplines, etc. ) and present at any of the hierarchical packaging levels: integrated circuits, printed circuit boards, multi-chip modules or sys tem backplanes. Analysis of these effects in any CAD package has become a necessity. Asymptotic waveform evaluation (AWE) and other moment matching tech niques have recently proven useful in the analysis of interconnect structures and various networks containing large linear structures with nonlinear termi nations. Previously, all that was available to the designer was a full SPICE simulation or a quick but uncertain timing estimation. Moment matching, used in linear systems analysis as a method of model reduction, describes a method to extract a small set of dominant poles from a large network. The information is obtained from the Taylor series coefficients (moments) of that system.

Download or read book Asymptotic Waveform Evaluation for timing analysis written by Lawrence T. Pillage and published by . This book was released on 1989 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Waveform Evaluation AWE Technique for Frequency Domain Electromagnetic Analysis written by and published by . This book was released on 1996 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Waveform Evaluation for Circuits with Redundant DC Equations written by Russell Kao and published by . This book was released on 1991 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Extension of the Asymptotic Waveform Evaluation Technique with the Method of Characteristics written by J. Eric Bracken and published by . This book was released on 1992 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: This allows the pure delay to be factored out; AWE can then be used to approximate the characteristic admittance, as well as the propagation functions of the lines. The AWE approximation can be simulated efficiently within a modified version of SPICE. Examples are presented to demonstrate that this technique is both accurate, while being faster than other existing methods."

Download or read book Asymptotic Waveform Evaluation Awe Technique for Frequency Domain Electromagnetic Analysis written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-16 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asymptotic Waveform Evaluation (AWE) technique is applied to a generalized frequency domain electromagnetic problem. Most of the frequency domain techniques in computational electromagnetics result in a matrix equation, which is solved at a single frequency. In the AWE technique, the Taylor series expansion around that frequency is applied to the matrix equation. The coefficients of the Taylor's series are obtained in terms of the frequency derivatives of the matrices evaluated at the expansion frequency. The coefficients hence obtained will be used to predict the frequency response of the system over a frequency range. The detailed derivation of the coefficients (called 'moments') is given along with an illustration for electric field integral equation (or Method of Moments) technique. The radar cross section (RCS) frequency response of a square plate is presented using the AWE technique and is compared with the exact solution at various frequencies. Cockrell, C. R. and Beck, F. B. Langley Research Center NASA-TM-110292, NAS 1.15:110292 RTOP 522-33-11-02...

Download or read book AWEsim Asymptotic Waveform Evaluation for Timing Analysis written by Carnegie-Mellon University. SRC-CMU Research Center for Computer-Aided Design and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Moment matching stabilization in asymptotic waveform evaluation written by Demosthenes F. Anastasakis and published by . This book was released on 1992 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Waveform Evaluation AWE Technique for Frequency Domain Electromagnetic Analysis written by C. R. Cockrell and published by . This book was released on 1996 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Integration Algorithms and Asymptotic Waveform Evaluation written by M. M. Alaybeyi and published by . This book was released on 1992 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "The relationship between numerical integration algorithms and Asymptotic Waveform Evaluation (AWE) is established. This link is used to provide an innovative extension to AWE analysis, whereby a small number of data points generated during a brief time domain integration of a linear(ized) circuit are used. This method preserves the efficiency of AWE, while increasing the accuracy. The strengths of such an approach are illustrated from a theoretical view, as well as with practical examples. A direct comparison of AWE using numerical integration time points, and the unassisted numerical integration algorithms is provided as an illustration of the accuracy and efficiency of AWE."

Download or read book Analysis of MCMs Using Asymptotic Waveform Evaluation AWE written by M. M. Alaybeyi and published by . This book was released on 1992 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Finer feature sizes, increasing system complexity, and higher signal speeds have combined to make interconnect the dominant determinant of electronic circuit and system performance. These trends will continue into the forseeable future, and new technologies that may be introduced will only add to them. Key components to interconnect analysis are efficient simulation of interconnect models, and macro-modeling to make the models fit efficiently into existing simulation strategies. Asymptotic Waveform Evaluation (AWE) is an elegant and efficient solution to this problem. This paper illustrates the applicability of AWE to the analysis of MCM interconnect structures -- from chip level through packaging, through thick or thin film interconnect and back again."

Download or read book Pole and Zero Sensitivity Calculation in Asymptotic Waveform Evaluation written by John Y. Lee and published by . This book was released on 1992 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Asymptotic Waveform Evaluation (AWE) is a new method to approximate the behavior of linear(ized) circuits in either the time or the frequency domain in terms of a dominant pole/zero approximation. An efficient method for calculating the sensitivities of the poles and zeros found by AWE has been developed. Using the adjoint sensitivity method, it is possible to inexpensively compute the sensitivities of the poles and zeros with respect to all circuit parameters, as well as to suppressed circuit parasitics. The sensitivities of the approximate poles and zeros found by AWE show excellent correlation with those of the real circuit, and provide useful information in both the time and frequency domains."

Download or read book Interconnect Simulation with Asymptotic Waveform Evaluation written by J. Eric Bracken and published by . This book was released on 1992 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: However, the basic algorithm must be extended so that distributed and nonlinear elements may be included in the simulation. This paper desribes extensions to the AWE technique that make it applicable to the analysis of general interconnect problems."

Download or read book Exploiting Partitioning in Asymptotic Waveform Evaluation AWE written by M. M. Alaybeyi and published by . This book was released on 1992 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical examples illustrate the significant savings in both memory utilization and execution time, as compared to non-partitioned AWE simulations."

Download or read book Efficient calculation of time domain waveform sensitivities in asymptotic waveform evaluation written by Ashok Balivada and published by . This book was released on 1991 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Time Domain Simulation of High speed Interconnect Circuits Using Asymptotic Waveform Evaluation written by Bradley Oakes Marsh and published by . This book was released on 1994 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Efficient Pole Zero Sensitivity Calculation Using Asymptotic Waveform Evaluation AWE written by John Y. Lee and published by . This book was released on 1990 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Asymptotic Waveform Evaluation (AWE) is a new method to analyze linear(ized) circuits. It employs a form of Padé approximation rather than numerical integration to approximate the behavior of linear(ized) circuits in either the time or the frequency domain. An efficient method for calculating the sensitivities of the poles and zeros found by AWE has been developed. Using the adjoint sensitivity method, it is possible to cheaply compute the sensitivities of the poles and zeros with respect to all circuit parameters, as we as circuit parasitics. The sensitivities of the poles and zeros provide excellent correlation with the perturbation response, and can provide valuable feedback to the circuit designer."