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Speed and Accuracy Introduction to Speed and Accuracy NR is the most general and robust algorithm, and it is always used by default. It is very accurate, and applicable to all kinds of circuits without restriction. NR is used by the vast majority of commercial SPICE simulators because of its generality. Unless explicitly triggered by the <strong>user</strong> with commands and/or by switches in the netlist, neither OSR nor IEM are used by Eldo. By default only NR is used for the whole circuit. Eldo can partition a circuit into different parts that are simulated with different algorithms. For example, some partitions can be simulated with classical NR, whereas others are simulated with OSR or IEM. Each partition can use its own accuracy control parameters. Related Topics Speed and Accuracy in Eldo Integration Methods Simulation of Large Circuits Tips for Improving Simulation Performance 1244 Eldo® User's Manual, 15.3
Speed and Accuracy Speed and Accuracy in Eldo Speed and Accuracy in Eldo The system of equations that represent the behavior of a circuit cannot be solved analytically, apart from trivial cases. Thus a simulator has to use numerical algorithms to find an approximate solution. In the case of transient analysis, the problem to solve is to find the solution of a DAE (Differential Algebraic Equations) system. To simplify, and deliberately using loose notations, the ‘solution’ that the simulator tries to find is a set of N voltage waveforms vn(t), where n ranges from 1 to N—N being the number of nodes in the circuit—and t represents the time variable. These voltages are the solution of f(v(t), q’(v(t)), t)=0, where f() and q() are non-linear functions. Equation f()=0 is nothing but the expression of the Kirchoff law, that is, the sum of all currents entering a node is null, at any time. Function q() models the dynamic part of the circuit, that is, the generally bias-dependent charges in the circuit. This system is differential and non-linear. To solve it numerically, time is discretized, and the equations are solved at discrete time points. The time-derivatives are approximated using a socalled integration scheme or method, using current and previous values of the solution v(ti), v(ti-1),…, v(ti-m). The number m of previous time points used to approximate the timederivatives depends on the ‘order’ of the integration method. In all cases, an approximation error is introduced in this process. Once the time-derivatives have been eliminated, the system to solve is ‘simply’ non-linear. Many numerical methods exist to solve this numerically; they typically requiring a certain number of iterations, starting from an initial guess v0, and each iteration providing, hopefully, a better estimate vj of the solution vexact. This iterative process will normally converge, although some criterion are needed to decide when to stop the iterative process and accept the last estimate as the ‘solution’ at the current time point. Again, an approximation error is introduced here. One of the commonly used methods to solve non-linear systems of equations is the socalled Newton-Raphson method. It is commonly used mainly because of its generality and also for its relative robustness. In summary, primarily two types of error are involved in the resolution of the system: • Errors due to the numerical integration process. • Errors due to the numerical resolution of non-linear equations. Integration Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1246 Time Step Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1248 Newton Iterations Accuracy Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1252 Global Tuning of the Accuracy—EPS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1253 Global Tuning of the Accuracy—TUNING. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1255 Eldo® User's Manual, 15.3 1245
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Table of Contents Chapter 1 Introdu
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Table of Contents Preparing and Ins
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Table of Contents Chapter 7 Running
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Table of Contents Eldo Reduction .
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Table of Contents Chapter 12 Statis
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Table of Contents Simulating a Bloc
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Table of Contents atanh . . . . . .
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Table of Contents xmin . . . . . .
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Table of Contents COS. . . . . . .
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Table of Contents One Step Relaxati
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List of Figures Figure 1-1. Cascade
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List of Figures Figure 14-1. Mixed-
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List of Tables Table 1-1. Documenta
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Chapter 1 Introduction to Eldo The
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Introduction to Eldo Getting Starte
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Introduction to Eldo Getting Starte
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Eldo Input and Output Files Introdu
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Introduction to Eldo Eldo Documenta
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Introduction to Eldo Documentation
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Chapter 2 Running Eldo This chapter
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Running Eldo Multi-Threading Eldo S
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Running Eldo Multi-Threading Eldo S
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Running Eldo Simulation Connection
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Running Eldo Simulation Connection
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Running Eldo Eldo Initialization Fi
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Running Eldo Location Maps Location
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Running Eldo Performance Bottleneck
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Running Eldo Statistics File Statis
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Running Eldo Additional Tools and U
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Chapter 3 Eldo Premier This chapter
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Eldo Premier Overview of Eldo Premi
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Eldo Premier Automatic Activation o
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Eldo Premier Handling Matrix-Like C
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Eldo Premier Eldo Premier Output El
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Eldo Premier Forcing Elaboration Ti
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Netlist reduction is activated with
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Eldo Premier Supported Commands Tab
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Eldo Premier Supported Commands Tab
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Table 3-3. Eldo Premier—Supported
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Eldo Premier Supported Models Enabl
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o Eldo Premier Other Supported Func
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Eldo Premier Miscellaneous Limitati
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Chapter 4 Eldo Netlist Setup This c
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Eldo Netlist Setup Netlist Structur
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Subcircuit Definitions and Calls El
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Eldo Netlist Setup Simulator Comman
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Eldo Netlist Setup General Aspects
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Eldo Netlist Setup Case-Sensitivity
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Eldo Netlist Setup Numerical Values
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Eldo Netlist Setup Functions, Opera
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Function PWL_LIN(xvalue, interp, x1
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Notes Eldo Netlist Setup Arithmetic
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Eldo Netlist Setup Operators Operat
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Eldo Netlist Setup Operators Bitwis
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Eldo Netlist Setup Expressions Spec
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Eldo Netlist Setup Directives Direc
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Eldo Netlist Setup Directives Inter
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Eldo Netlist Setup Directives to Po
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Eldo Netlist Setup Working With Sub
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Eldo Netlist Setup Subcircuits Spec
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Eldo Netlist Setup Subcircuits Rela
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Eldo Netlist Setup Device Libraries
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Eldo Netlist Setup Encrypting Libra
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Eldo Netlist Setup encrypt_eldo Too
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Eldo Netlist Setup encrypt_eldo Too
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Eldo Netlist Setup Protection of En
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Eldo was not able to find the reque
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Eldo Netlist Setup Running Multiple
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Eldo Netlist Setup Merging Instance
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Chapter 5 Simulator Compatibility E
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Simulator Compatibility Hybrid Comp
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Simulator Compatibility Devices in
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Simulator Compatibility Devices in
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Simulator Compatibility Commands in
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Simulator Compatibility Commands in
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Simulator Compatibility Options in
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Netlist in Compat Mode Some aspects
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Simulator Compatibility Arithmetic
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Simulator Compatibility Spectre Com
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Simulator Compatibility Spectre Com
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Eldo can be launched on the Spectre
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Simulator Compatibility Working wit
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Simulator Compatibility Troubleshoo
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Error Code Related Topics Spectre C
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Simulator Compatibility Spectre to
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spect2el Command Reference Simulato
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Simulator Compatibility spect2el Co
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Simulator Compatibility spect2el Co
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Chapter 6 Setting Up An Analysis Th
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DC and Operating Point Analyses The
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Setting Up An Analysis Performing a
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Setting Up An Analysis Operating Po
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Setting Up An Analysis DC Convergen
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Setting Up An Analysis DC Convergen
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Setting Up An Analysis Saving and R
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Setting Up An Analysis Transient An
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.SAVE END in Combination with .REST
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AC Analysis Results Setting Up An A
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Loop Stability Analysis Setting Up
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Setting Up An Analysis Pole Zero An
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Setting Up An Analysis Pole Zero An
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Hand Selection Setting Up An Analys
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Setting Up An Analysis Transfer Fun
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Setting Up An Analysis Noise Analys
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Setting Up An Analysis Transient No
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Transient Noise Analysis Principles
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Figure 6-10. PSD of a Flicker Noise
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o Setting Up An Analysis Transient
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Setting Up An Analysis Statistical
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Setting Up An Analysis Worst Case A
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Setting Up An Analysis DC Mismatch
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Setting Up An Analysis DC Sensitivi
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AC Sensitivity Analysis Results Set
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Design of Experiments Analysis Resu
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Setting Up An Analysis Aging and Re
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High Impedance Node Check Setting U
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Results Setting Up An Analysis View
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Setting Up An Analysis RF Analyses
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Setting Up An Analysis RF Analyses
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Chapter 7 Running Parametric Analys
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Running Parametric Analyses Tempera
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Running Parametric Analyses Assigni
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Running Parametric Analyses .STEP S
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Running Parametric Analyses Nested
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Running Parametric Analyses .DATA P
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Running Parametric Analyses Removin
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Running Parametric Analyses .ALTER
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Running Parametric Analyses Using O
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Chapter 8 Specifying Simulation Out
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Specifying Simulation Output Output
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Specifying Simulation Output Types
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Examples of Wildcard Usage in Subci
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See Also • .PLOT command in the E
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Compound Waveforms Specifying Simul
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Specifying Simulation Output Tabula
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Specifying Simulation Output Dynami
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Specifying Simulation Output Extrac
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Specifying Simulation Output Plot a
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3. Right-click on the sweep paramet
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Specifying Simulation Output Exampl
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Specifying Simulation Output Exampl
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Safe Operating Area (SOA) Checks Sp
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Specifying Simulation Output Plotti
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See Also • .CHECKSOA in the Eldo
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Specifying Simulation Output Safe O
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Specifying Simulation Output High I
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Specifying Simulation Output High I
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• .OPTION PRINT_OPTION=0 (in the
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Specifying Simulation Output Increm
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Chapter 9 Analyzing Simulation Resu
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File Extension Table 9-1. Eldo Stan
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File Extension _csdf.trX _csdf.acX
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Interpreting the Output Log (.chi)
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Analyzing Simulation Results Simula
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Analyzing Simulation Results Simula
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Analyzing Simulation Results Error
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Analyzing Simulation Results EZwave
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Related Topics EZwave Joint Wavefor
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Analyzing Simulation Results Marchi
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Analyzing Simulation Results Diagno
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Analyzing Simulation Results Non-Co
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Nodes/Devices Impacting Time-Step A
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Analyzing Simulation Results Perfor
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Analyzing Simulation Results Using
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Analyzing Simulation Results Statis
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Chapter 10 Post-Layout Simulation T
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Post-Layout Simulation Post-Layout
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Post-Layout Simulation DSPF File St
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o ii. iii. Post-Layout Simulation E
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Connecting a Source to a DSPF Backa
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SPEF File Structure Post-Layout Sim
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SPEF File Example for Corners Post-
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Post-Layout Simulation Eldo Reducti
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Post-Layout Simulation Reduction Ou
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Post-Layout Simulation Reduction Re
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Chapter 11 Monte Carlo Analysis Mon
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Introduction to Monte Carlo Analysi
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Monte Carlo Analysis Introduction t
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The Monte Carlo Flow Monte Carlo An
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Monte Carlo Analysis Monte Carlo Ba
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Monte Carlo Analysis Monte Carlo Ba
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Monte Carlo Analysis Specifying a M
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Monte Carlo Analysis Statistical Va
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Monte Carlo Analysis Specifying Sta
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Specifying Statistical Parameters M
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Controlling Statistical Parameter V
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How to Specify a Distribution Funct
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Gaussian or Normal Distribution Mon
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User-defined Distribution Monte Car
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Monte Carlo Analysis Correlation Be
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Monte Carlo Analysis Local and Glob
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Monte Carlo Analysis Specifying Sta
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Monte Carlo Analysis Tolerance Sett
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Examples Monte Carlo Analysis Toler
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Monte Carlo Analysis Sampling Plan
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Monte Carlo Analysis Latin Hypercub
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Monte Carlo Analysis Model-Based Mo
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Monte Carlo Analysis Model-Based Mo
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Monte Carlo Analysis Post-Analysis
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Monte Carlo Analysis Output of Unce
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• MCCORR(LABEL_EXT1,LABEL_EXT2) M
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Extracts the total number of Monte
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Monte Carlo Analysis Output of Unce
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Monte Carlo Analysis Primary Statis
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Approximations of the CDF Monte Car
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Monte Carlo Analysis Additional Unc
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Monte Carlo Analysis Input/Output S
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Stopping Test for AVG Monte Carlo A
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Monte Carlo Analysis SETTLING Techn
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Monte Carlo Analysis MCCONV Extract
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Monte Carlo Analysis Global Sensiti
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Monte Carlo Analysis Large Scale Va
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Monte Carlo Analysis Large Scale Va
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Figure 11-21. Monte Carlo Analysis
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Monte Carlo Analysis Model-Based Ap
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Monte Carlo Analysis Further Exampl
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Monte Carlo Analysis Parameter Nami
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Five independent random variables w
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Monte Carlo Analysis Problems in St
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Monte Carlo Analysis Problems in St
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Figure 11-22. LIMIT Distribution wi
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Figure 11-23. Four Random Samples f
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Monte Carlo Analysis Obsolete Featu
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Chapter 12 Statistical Experimental
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Statistical Experimental Design and
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Statistical Modeling for Discrete C
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Conducting a Screening Experiment G
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Chapter 13 Optimization The purpose
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Optimization Optimization in Eldo O
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Optimization Optimization Options .
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Table 13-1. Eldo Optimization Metho
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Figure 13-2. Discretization of Desi
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Optimization Specifying Tracking wi
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Optimization Scaling Design Variabl
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Optimization Scaling Design Variabl
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Optimization Design Objectives Desi
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Scalar Design Objectives Optimizati
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Optimization Specifying Design Obje
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Notes Optimization Specifying Desig
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Optimization Types of Design Object
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Optimization Eldo Optimizer SQP Alg
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Figure 13-3. Illustration of Optima
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Optimization Eldo Optimizer/Search
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Conducting an Eldo Optimization Opt
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Smooth and Non-Smooth Problems Opti
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Optimization of Sweep Simulations O
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Optimization Optimization of Sweep
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Optimization Optimization of Sweep
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Optimization Explicitly Declaring R
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Optimization ASCII Optimization Fil
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o o Goal Value — Goal value of th
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Optimization Monitoring Design Obje
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Optimization Monitoring Design Obje
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Code Table 13-3. Optimization Resul
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Optimization Normal and Elastic Mod
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Optimization Designing a Low Noise
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Optimization Fourband Filter Optimi
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Optimization MOS Characterization R
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Optimization Robust Optimization Us
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Optimization Robust Optimization Us
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Optimization Setup Time Computation
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Chapter 14 Working with S, Y, Z Par
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Working with S, Y, Z Parameters S,
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The default mixed-mode can be set u
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Working with S, Y, Z Parameters Out
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Working with S, Y, Z Parameters Sim
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Working with S, Y, Z Parameters Tec
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Working with S, Y, Z Parameters Imp
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• Simulation of passive networks
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Working with S, Y, Z Parameters Ins
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Working with S, Y, Z Parameters Tou
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VAR_LIST_BEGIN / VAR_LIST_END SEG_L
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Chapter 16 Electrothermal Simulatio
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Electrothermal Simulation Specifyin
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Electrothermal Simulation Reporting
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Chapter 17 IBIS Models Support in E
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IBIS Models Support in Eldo Checkin
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Figure 17-3. Output Buffer Model Bu
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Figure 17-5. 3_state Buffer Model B
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IBIS Models Support in Eldo Compone
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IBIS Models Support in Eldo IBIS Su
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IBIS Electrical Board Description I
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IBIS Models Support in Eldo IBIS El
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IBIS Models Support in Eldo Support
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D_overshoot_ampl_l 5.0 [Rgnd] 2.1 [
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IBIS Models Support in Eldo Example
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Chapter 18 Eldo Control Language Th
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Eldo Control Language Examples Eldo
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Example Dir 22-plot_mos_ operating_
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Eldo Control Language Eldo Control
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Eldo Control Language Testbenches T
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Eldo Control Language Testbench Ins
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Eldo Control Language Rules for Tes
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Eldo Control Language Task Definiti
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Eldo Control Language Functions For
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Defining and Running Simulations El
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Eldo Control Language Defining and
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Command compoundcontent conj cos co
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Eldo Control Language Library of Fu
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Command system tan tanh trunc var w
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Examples Eldo Control Language Libr
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Complex Number Function Natural log
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Complex Number Function Decimal log
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Eldo Control Language Simulation Dy
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Command _simu_set _simu_set_cond _s
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Eldo Control Language Extended Simu
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Eldo Control Language Parallel Oper
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Concurrency Issues Eldo Control Lan
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Launching ECL Simulations on Differ
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Eldo Control Language Statistical P
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Command _simu_get_stat_param_de v _
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Temporary Files Eldo Control Langua
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Debug Mode Eldo Control Language Ad
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Eldo Control Language Advanced Simu
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Eldo Control Language Advanced Simu
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Eldo Control Language Examples Usin
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Eldo Control Language .EXTRACT Alte
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Eldo Control Language .PRINTFILE Al
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Eldo Control Language .PRINTFILE Al
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Eldo Control Language .OPTIMIZE Alt
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Eldo Control Language .MPRUN with M
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Chapter 19 Post-Processing Library
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Post-Processing Library Post-Proces
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Post-Processing Library General Usa
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Post-Processing Library Macro-Like
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Post-Processing Library Working wit
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Post-Processing Library evalExpr Re
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Post-Processing Library defineVec N
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Post-Processing Library EZwave Wave
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Post-Processing Library ABS ABS Eld
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Post-Processing Library ACOSH ACOSH
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Post-Processing Library ACOTH ACOTH
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Post-Processing Library ASINH ASINH
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Post-Processing Library ATANH ATANH
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Post-Processing Library COMPRESS CO
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Post-Processing Library COSH COSH E
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Post-Processing Library COTH COTH E
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Post-Processing Library DEG DEG Eld
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Post-Processing Library DERIVE DERI
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Post-Processing Library EXP EXP Eld
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Post-Processing Library GMARGIN GMA
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Post-Processing Library IMAG IMAG E
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Post-Processing Library INTEGRAL IN
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Post-Processing Library INVDB INVDB
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Post-Processing Library LOG10 LOG10
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Post-Processing Library MAX MAX Eld
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Post-Processing Library PHASE PHASE
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Post-Processing Library RAD RAD Eld
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Post-Processing Library RELATION RE
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Post-Processing Library RMS RMS Eld
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Page 1195 and 1196: Post-Processing Library SINH SINH E
Page 1197 and 1198: Post-Processing Library SQRT SQRT E
Page 1199 and 1200: Post-Processing Library TAN TAN Eld
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Page 1203 and 1204: Post-Processing Library TPDDU TPDDU
Page 1205 and 1206: Post-Processing Library TPDUU TPDUU
Page 1207 and 1208: Post-Processing Library VMIN VMIN E
Page 1209 and 1210: Post-Processing Library XCOMPRESS X
Page 1211 and 1212: Post-Processing Library XWAVE XWAVE
Page 1213 and 1214: Post-Processing Library IIPX IIPX E
Page 1215 and 1216: Post-Processing Library Built-In DS
Page 1217 and 1218: Post-Processing Library CONV CONV E
Page 1219 and 1220: Post-Processing Library CORRELO •
Page 1221 and 1222: Post-Processing Library CT • fmin
Page 1223 and 1224: Post-Processing Library FFT • nor
Page 1225 and 1226: Post-Processing Library HDIST HDIST
Page 1227 and 1228: Post-Processing Library PERIODO PER
Page 1229 and 1230: Post-Processing Library PSD PSD Eld
Page 1231 and 1232: Post-Processing Library SAMPLER 10
Page 1233 and 1234: Post-Processing Library Accessing W
Page 1235 and 1236: Post-Processing Library DISP_FILE D
Page 1237 and 1238: Post-Processing Library Additional
Page 1239 and 1240: Post-Processing Library GETSIZE GET
Page 1241 and 1242: Post-Processing Library SETPOINT SE
Page 1243: Chapter 20 Speed and Accuracy Eldo
Page 1247 and 1248: Speed and Accuracy Integration Meth
Page 1249 and 1250: Speed and Accuracy Time Step Contro
Page 1251 and 1252: Speed and Accuracy Time Step Contro
Page 1253 and 1254: Speed and Accuracy Global Tuning of
Page 1255 and 1256: Speed and Accuracy Global Tuning of
Page 1257 and 1258: Speed and Accuracy Simulation of La
Page 1259 and 1260: Speed and Accuracy Tips for Improvi
Page 1261 and 1262: Speed and Accuracy IEM Overview Whe
Page 1263 and 1264: Speed and Accuracy IEM Tolerance Pa
Page 1265 and 1266: IEM Alone (.OPTION IEM) Speed and A
Page 1267 and 1268: Integration Method Speed and Accura
Page 1269 and 1270: Chapter 21 Examples The most produc
Page 1271 and 1272: Examples Table 21-1. Eldo Examples
Page 1273 and 1274: Netlist Explanation Examples Exampl
Page 1275 and 1276: Examples Example 2—Transient and
Page 1277 and 1278: Examples Example 3—AC and Noise A
Page 1279 and 1280: Examples Example 3—AC and Noise A
Page 1281 and 1282: Figure 21-8. Low Pass Filter Exampl
Page 1283 and 1284: Examples Example 5—Transient Anal
Page 1289 and 1290: Simulation Results Examples Example
Page 1291 and 1292: Figure 21-15. Non-inverting Amplifi
Page 1293 and 1294: Examples Example 8—DC Sensitivity
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Simulation Results Examples Example
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Examples Example 9—Transient and
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Examples Example 11—Loop Stabilit
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Examples Example 12—Overshoot Ext
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Summary of Eldo commands used in th
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Examples Example 16—Transient Ana
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Examples Example 17—Monte Carlo S
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Examples Example 17—Monte Carlo S
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Examples Example 18—Numerical Int
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Examples Example 19—DC Mismatch C
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Examples Example 21—Post-Layout S
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Examples Example 22—Extract Gain
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Examples Example 22—Extract Gain
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Examples Example 23—Parametric Se
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Examples Example 23—Parametric Se
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Examples Example 24—Cell Characte
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Examples Example 25—Setting up an
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Examples Example 26—Spectre Compa
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Examples Example 27—Monte Carlo A
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Examples Tutorial—Using Power Ana
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Examples Tutorial—High Impedance
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Examples Transient Noise Analysis E
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Appendix A Error and Warning Messag
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Error Number Description Table A-1.
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Error and Warning Messages Global E
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Error and Warning Messages Errors R
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Error Number Table A-4. Errors Rela
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Error and Warning Messages Miscella
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Error and Warning Messages Warning
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Error and Warning Messages Global W
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Error and Warning Messages Warnings
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Warning Number Table A-11. Warnings
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Warning Number Table A-14. Warnings
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Warnings Related to Subcircuits The
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Warning Number Table A-16. Miscella
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Warning Number Warning 1021092 Warn
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Appendix B Troubleshooting Most use
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Troubleshooting File Troubleshootin
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Appendix C Eldo Interactive Mode El
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Eldo Interactive Mode Reading Infor
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Command [.]LSMODEV LSMODPAR [.]LS
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Eldo Interactive Mode Change Featur
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Eldo Interactive Mode Change Featur
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STOP IF Eldo Interactive Mode Cont
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Appendix D Eldo Conversion Utilitie
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Eldo Conversion Utilities Utility t
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Appendix E STMicroelectronics Model
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STMicroelectronics Models What Does
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Css Css Csb Csb Csb+CJSB Cbd Cdbd C
Page 1483 and 1484:
Index — Symbols — ! comment del
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PWL_LIN(), 111 PWR(VAL1, VAL2), 110
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32-bit and 64-bit modes, 42 An Intr
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LIMIT function, 110 Limiting Output
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DSPF backannotation, 392 Examples,
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Noise Model, 1373 Syntax Errors, 36
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Third-Party Information This sectio
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3. The name of the author may not b
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USE, DATA, OR PROFITS; OR BUSINESS
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End-User License Agreement The late
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7.1. Mentor Graphics warrants that
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