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Fullchip harmonic balance
 Proceedings of the IEEE Custom Integrated Circuits Conference
, 1997
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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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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...
Nonlinear distortion analysis via linearcentric models
 in Proc. Asia South Pacific Design Automation Conf
"... AbstractAn efficient distortion analysis methodology is presented for analog and RF circuits that utilizes linearcentric circuit models to generate individual distortion contributions due to the various circuit nonlinearities. The pernonlinearity distortion results are obtained via a straightfor ..."
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AbstractAn efficient distortion analysis methodology is presented for analog and RF circuits that utilizes linearcentric circuit models to generate individual distortion contributions due to the various circuit nonlinearities. The pernonlinearity distortion results are obtained via a straightforward postsimulation step that is simpler and more efficient than the Volterra series based approaches and do not require the high order device model derivatives. For this reason the order of analysis can be significantly higher than that for a Volterra series implementation while fully accounting for all nonlinearity effects. The proposed methodology is not restricted to weakly nonlinear circuits, but can also analyze pernonlinearity distortion for active switching mixers and switch capacitor circuits when they are modeled as periodically timevarying weakly nonlinear systems. While Volterra series have also been attempted for this same class of circuits, the requirement of device models for all of the high order model derivatives makes such analysis somewhat impractical. The proposed methodology provides important design insights regarding the relationships between design parameters and circuit linearity, hence the overall system performance. Circuit examples are used to demonstrate the efficacy of the proposed approach, and interesting insights are observed for RF switching mixers in particular. I.
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...
MEASURING THE HIGHER ORDER SINUSOIDAL INPUT DESCRIBING FUNCTIONS OF A NONLINEAR PLANT OPERATING IN FEEDBACK
"... Abstract: In this paper two measuring techniques are presented for measuring the ..."
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Abstract: In this paper two measuring techniques are presented for measuring the
The convergence of Volterra series for arbitrary nonlinear networks with twoterminal elements
, 1994
"... The radius of convergence of the Volterra series representation of nonlinear networks with an arbitrary number of linear and nonlinear twoterminal elements is considered. By using a general system description via linear multiport theory and the method of nonlinear sources the Picard iteration is ap ..."
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The radius of convergence of the Volterra series representation of nonlinear networks with an arbitrary number of linear and nonlinear twoterminal elements is considered. By using a general system description via linear multiport theory and the method of nonlinear sources the Picard iteration is applied to calculate the Volterra series. The Banach fixpoint theorem is applied to a derived memoryless matrix equation which serves as a majorant to the iteration. The analysis of the resulting structure yields a simple expression for a secure estimation of the radius of convergence. An example is given for demonstration. 1 Introduction The representation of nonlinear networks by Volterra series incorporates the great advantage of analytical treatment. However, as a serious limitation they suffer from a limited radius of convergence, that determines the maximum amplitude of the input signal for which the functional expansion is still valid. In this paper we present a method for calculating ...
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 ..."
Uniqueness of a Basic Nonlinear Structure
"... A/Asovzc~I ~ this paper we show that systems consisting of a memoryless nonlinearity sandwiched between two linear timeinvariant (LTI) operators are unique module scaling and delays. We mention a few corollaries and applications of general circuit and system theoretic interest. I I. ..."
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A/Asovzc~I ~ this paper we show that systems consisting of a memoryless nonlinearity sandwiched between two linear timeinvariant (LTI) operators are unique module scaling and delays. We mention a few corollaries and applications of general circuit and system theoretic interest. I I.
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