Download Asymptotic Waveform Evaluation: And Moment Matching for by Eli Chiprout PDF

By Eli Chiprout

ISBN-10: 1461363632

ISBN-13: 9781461363637

ISBN-10: 1461531160

ISBN-13: 9781461531166

The excessive force for sign integrity has been on the vanguard ofrapid and new advancements in CAD algorithms. millions ofengineers, reason on attaining the simplest layout attainable, use SPICE each day for analog simulation and common circuit research. however the strained call for for prime facts speeds, coupled with miniaturizationon an exceptional scale, has highlighted the formerly negligible results of interconnects; results which aren't consistently dealt with appro­ priately through the current degrees of SPICE. indications at those larger speeds might be degraded through lengthy interconnect lengths in comparison to the more and more shorter sig­ nal upward thrust occasions. Interconnect constructions may be assorted (pins, connectors, leads, microstrips, striplines, and so forth. ) and current at any of the hierarchical packaging degrees: built-in circuits, published circuit forums, multi-chip modules or sys­ tem backplanes. research of those results in any CAD package deal has develop into a need. Asymptotic waveform evaluate (AWE) and different second matching tech­ niques have lately confirmed helpful within the research of interconnect buildings and diverse networks containing huge linear buildings with nonlinear termi­ international locations. formerly, all that was once to be had to the fashion designer was once an entire SPICE simulation or a brief yet doubtful timing estimation. second matching, utilized in linear platforms research as a mode of version relief, describes a style to extract a small set of dominant poles from a wide community. the knowledge is got from the Taylor sequence coefficients (moments) of that system.

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Extra info for Asymptotic Waveform Evaluation: And Moment Matching for Interconnect Analysis

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Step 8 u(t) ---T j-1 j-1 (kiJPj _ k j / Pj ) 8-Pj 8 q (k. + L: -LeP;t cu(t) ~ t j-1 c Ramp tu(t) 82 ---T t(kj/t r 7J + J=l . ) p' - 8P~ - 82 p. J J J 0 k· k· - ~u(t) - -Ltu(t) Pj PJ Pj j=l Exponential PJ q (k. 22) This set of nonlinear equations may be solved directly. However, it is more convenient to transform it into a set of linear equations[PR90]. 24) by applying a root solving algorithm on the resulting Q(8). 22) to give a set of linear equations for the ki . 16) at t of y(t) at t 0+ is given by, = = 0+.

_ .. 8 - -.... 2--1 ..... 8 :It 101 • RC network frequency response: 3rd order approximation. 9 30n IpF RLC network. 0333 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 C"'= 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10- 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10- 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10- 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 _10- 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 _10- 9 0 0 0 0 _10- 9 0 We solve for the 7th voltage node as output (indicated in Fig.

Transform, lim (sH(s)) ...... 42) By placing a source of value s at the input and solving the circuit the solution will be M_ 1 . The current must be solved first by comparing orders of sand eliminating diminishing impedances. Most nodes away from the source will receive no current. This is because an impulse is absorbed by the first energy elements it comes in contact with giving a finite step. All other nodes will change in a continuous fashion. Once the elements with no current are eliminated, the much smaller circuit may be solved for voltages.

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Asymptotic Waveform Evaluation: And Moment Matching for Interconnect Analysis by Eli Chiprout


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