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Fullchip Harmonic Balance
, 1997
"... Fast and accurate computation of the steadystate response of large nonlinear networks under periodic and quasiperiodic drive is a key simulation problem for integrated RF designs. In this paper we describe recent work which extends the method of Harmonic Balance to networks containing several milli ..."
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Fast and accurate computation of the steadystate response of large nonlinear networks under periodic and quasiperiodic drive is a key simulation problem for integrated RF designs. In this paper we describe recent work which extends the method of Harmonic Balance to networks containing several million unknowns. A new implementation is described, which includes new methods of preconditioning linear solves and an efficient method of storing derivative information. Then we report simulation and bench measurement results for several large designs, including a complete dualconversion transmitter chip with extracted layout parasitics. I. Introduction The explosive growth in RF silicon ICs, largely for portable wireless communication, has placed new demands on transistorlevel simulation tools: (1) The need to find the steadystate response of a nonlinear network driven by one or more periodic stimuli; In the case of more than one periodic stimulus, the driving periods may not always be har...
Tools and Methodology for RF IC Design
, 1999
"... We describe powerful new techniques for the analysis of RF circuits. Nextgeneration CAD tools based on such techniques should enable RF designers to obtain a more accurate picture of how their circuits will operate. These new simulation capabilities will be essential in order to reduce the number o ..."
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Cited by 3 (1 self)
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We describe powerful new techniques for the analysis of RF circuits. Nextgeneration CAD tools based on such techniques should enable RF designers to obtain a more accurate picture of how their circuits will operate. These new simulation capabilities will be essential in order to reduce the number of design iterations needed to produce complex RF ICs. 1 Introduction Design methodology and superior computeraided design tools are key to success in the integrated circuit (IC) business. They are particularly important in the case of radiofrequency (RF) IC applications, where the digital IC divideandconquerdesign style, based on partitioning by functional blocks and abstraction levels, does not apply. The goal of an RF designer is to get a manufacturable design that meets the specifications with minimum cost, under severe timetomarket constraints. Unlike traditional discretecomponent RF design, prototyping is practically impossible, and the validation of a design can only be done b...
Volterra Series Approach For Nonlinear Aeroelastic Response Of 2D Lifting Surfaces
, 2001
"... The problem of the determination of the subcritical aeroelastic response and flutter instability of nonlinear twodimensional lifting surfaces in an incompressible flowfield via Volterra series approach is addressed. The related aeroelastic governing equations are based upon the inclusion of s ..."
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The problem of the determination of the subcritical aeroelastic response and flutter instability of nonlinear twodimensional lifting surfaces in an incompressible flowfield via Volterra series approach is addressed. The related aeroelastic governing equations are based upon the inclusion of structural nonlinearities, of the linear unsteady aerodynamics and consideration of an arbitrary timedependent external pressure pulse. Unsteady aeroelastic nonlinear kernels are determined, and based on these, frequency and time histories of the subcritical aeroelastic response are obtained, and in this context the influence of geometric nonlinearities is emphasized. Conclusions and results displaying the implications of the considered effects are supplied. NOMENCLATURE a Dimensionless elastic axis position measured from the midchord, positive aft c Chord length of 2D lifting surface, b 2 i hi i hi K K c c a a , , , Damping and stiffness coefficients in plunging and pitching (i=1,2,3  linear, quadratic, cubic), respectively a L C Liftcurve slope ( ) ( ) ( ) k G k F k C , , Theodorsen's function and its real and imaginary counterparts, respectively h , x Plunging displacement and its dimensionless counterpart, ( ) b h / , respectively n h , n H nth order Volterra kernel in time, and its Laplace transformed counterpart, respectively * Post Doctoral Associate. + Professor of Aeronautical and Mechanical Engineering, Department of Engineering Science and Mechanics. # Senior Research Scientist, Senior Aerospace Engineer, Aeroelasticity Branch, Structures Division, Senior Member AIAA. Copyright 2000 The American Institute of Aeronautics and Astronautics Inc. All right reserved. a I , a r Mass moment of inertia per unit wingspan and the dimension...
High Order Volterra Series Analysis Using Parallel Computing
"... INTRODUCTION The Volterra series technique has been used extensively in various applications in the area of nonlinear circuit analysis and optimization (see e.g. references [1][28]). Examples are in the (i) analysis of intermodulation in small signal amplifiers [6][12], (ii) determination of os ..."
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INTRODUCTION The Volterra series technique has been used extensively in various applications in the area of nonlinear circuit analysis and optimization (see e.g. references [1][28]). Examples are in the (i) analysis of intermodulation in small signal amplifiers [6][12], (ii) determination of oscillation frequency and amplitude in near sinusoidal oscillators [3][5], (iii) analysis of mixers with moderate local oscillator levels [13, 14], analysis of communication systems [14][18], and (v) analysis of noise in nonlinear networks [24][28]. The use of the Volterra series technique basically involves two steps: (i) first, from specified input signal frequencies to determine all relevant Volterra transfer functions of the network, and (ii) next, to determine the output response from the nonlinear network based on specified amplitudes of the input signals. One limitation in the use of Volterra series is that the determination of Volterra transfer functions is usually limi
The Frequency Domain Behavioral Modeling and Simulation of Nonlinear Analog Circuits and Systems
, 1993
"... LUNSFORD II, PHILIP J. The Frequency Domain Behavioral Modeling and Simulation of Nonlinear Analog Circuits and Systems. (Under the direction of Michael B. Steer.) A new technique for the frequencydomain behavioral modeling and simulation of nonautonomous nonlinear analog subsystems is presented. ..."
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LUNSFORD II, PHILIP J. The Frequency Domain Behavioral Modeling and Simulation of Nonlinear Analog Circuits and Systems. (Under the direction of Michael B. Steer.) A new technique for the frequencydomain behavioral modeling and simulation of nonautonomous nonlinear analog subsystems is presented. This technique extracts values of the Volterra nonlinear transfer functions and stores these values in binary files. Using these files, the modeled substem can be simulated for an arbitrary periodic input expressed as a finite sum of sines and cosines. Furthermore, the extraction can be based on any circuit simulator that is capable of steady state simulation. Thus a large system can be divided into smaller subsystems, each of which is characterized by circuit level simulations or lab measurements. The total system can then be simulated using the subsystem characterization stored as tables in binary files.
Numerical SteadyState Solutions of NonLinear DAE's Arising in RF Communication Circuit Design
"... 1 Introduction Large systems of coupled nonlinear ordinary differential equations (DAE) arise naturally in applications areas like in the design of radiofrequency integrated circuits. The steadystate response of a nonlinear system to periodic or quasiperiodic stimulus is of primary interest to ..."
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1 Introduction Large systems of coupled nonlinear ordinary differential equations (DAE) arise naturally in applications areas like in the design of radiofrequency integrated circuits. The steadystate response of a nonlinear system to periodic or quasiperiodic stimulus is of primary interest to a designer because certain aspects of system performance are easier to characterize and verify in steady state. For example: noise, distortion, blocking are best measured when a circuit is in this state. The system of equations generated in circuit design has the following form,
dynamic system to describe sprayer boom
"... excitation for the derivation of the best related linear ..."