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Novel Timedomain Methods for Freerunning Oscillators
 Veijola (Eds): ECCTD'01  Proceedings of the 15TH European Conference on Circuit Theory and Design, Helsinki University of Technology (ISBN 9512255715), Finland (2001), III393 { III396
, 2001
"... A novel timedomain method for finding the periodic steadystate of a freerunning electrical oscillator is introduced. The method is based on the extrapolation technique MPE. This method is applied to the wellknown Colpitt's Oscillator, for which it turns out to have superlinear convergence. ..."
Abstract

Cited by 3 (3 self)
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A novel timedomain method for finding the periodic steadystate of a freerunning electrical oscillator is introduced. The method is based on the extrapolation technique MPE. This method is applied to the wellknown Colpitt's Oscillator, for which it turns out to have superlinear convergence.
Periodic SteadyState Analysis of Freerunning Oscillators
, 2000
"... this paper, two novel methods will be presented. The rst, called Poincar emap method, has very strong convergence properties, but converges only linearly for many realworld circuits. The second, the accelerated Poincaremap method, converges superlinearly when the Poincaremap method converges lin ..."
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this paper, two novel methods will be presented. The rst, called Poincar emap method, has very strong convergence properties, but converges only linearly for many realworld circuits. The second, the accelerated Poincaremap method, converges superlinearly when the Poincaremap method converges linearly, but has somewhat weaker convergence properties. Some numerical results comparing both methods will be presented.
Periodic SteadyState Analysis of Freerunning Oscillators
"... A common problem in the simulation of electric circuits for RF (Radio Frequency) applications is finding a periodic steadystate (PSS) of such a circuit. Several approaches exist for solving this problem. For nonautonomous circuits, i.e. circuits that are driven by an input source with an a priori ..."
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A common problem in the simulation of electric circuits for RF (Radio Frequency) applications is finding a periodic steadystate (PSS) of such a circuit. Several approaches exist for solving this problem. For nonautonomous circuits, i.e. circuits that are driven by an input source with an a priori known
A new transient integration method for freerunning oscillators
"... This paper presents a new RungeKutta type integration method that is wellsuited for timedomain simulation of oscillators. A unique property of the new method is that its damping characteristics can be controlled by a continuous parameter. 1 ..."
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This paper presents a new RungeKutta type integration method that is wellsuited for timedomain simulation of oscillators. A unique property of the new method is that its damping characteristics can be controlled by a continuous parameter. 1
Simulating Multitone Freerunning Oscillators with Optimal Sweep Following
, 2002
"... A new method for the simulation of circuits with widelyvarying time scales is given. The method makes a splitting of the behaviour of the circuit in a fastvarying and a slowlyvarying component. The method is attractive because it can handle frequency modulated (FM) circuits, unlike existing metho ..."
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A new method for the simulation of circuits with widelyvarying time scales is given. The method makes a splitting of the behaviour of the circuit in a fastvarying and a slowlyvarying component. The method is attractive because it can handle frequency modulated (FM) circuits, unlike existing methods. Numerical results are given. 1
CHAPTER ONE Oscillator Dynamics
"... A welldesigned freerunning oscillator provides a periodic signal of constant amplitude and frequency fo from the energy delivered by directcurrent (dc) sources. This has an immediate application for the realization of local oscillators used in the frequencyconversion stages of communication syst ..."
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A welldesigned freerunning oscillator provides a periodic signal of constant amplitude and frequency fo from the energy delivered by directcurrent (dc) sources. This has an immediate application for the realization of local oscillators used in the frequencyconversion stages of communication
On the Statistical Models for Slow Varying Phase Noise in Communication Systems
"... In this report we seek to summarize the statistical models for slow varying oscillator phase noise in communication systems. The simplified constantphase and uniformly distributed phase noise models are presented first. Next, the more accurate models based on the closedloop and freerunning oscill ..."
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In this report we seek to summarize the statistical models for slow varying oscillator phase noise in communication systems. The simplified constantphase and uniformly distributed phase noise models are presented first. Next, the more accurate models based on the closedloop and freerunning
Qualitative process theory
 MIT AI Lab Memo
, 1982
"... Objects move, collide, flow, bend, heat up, cool down, stretch, compress. and boil. These and other things that cause changes in objects over time are intuitively characterized as processes. To understand commonsense physical reasoning and make programs that interact with the physical world as well ..."
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Cited by 884 (92 self)
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. Several extended examples illustrate the utility of the theory, including figuring out that a boiler can blow up, that an oscillator with friction will eventually stop, and how to say that you can pull with a string, but not push with it. 1
Impulses and Physiological States in Theoretical Models of Nerve Membrane
 Biophysical Journal
, 1961
"... ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of nonlinear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing excitabi ..."
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Cited by 496 (0 self)
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ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of nonlinear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing
A learning algorithm for Boltzmann machines
 Cognitive Science
, 1985
"... The computotionol power of massively parallel networks of simple processing elements resides in the communication bandwidth provided by the hardware connections between elements. These connections con allow a significant fraction of the knowledge of the system to be applied to an instance of a probl ..."
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Cited by 586 (13 self)
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The computotionol power of massively parallel networks of simple processing elements resides in the communication bandwidth provided by the hardware connections between elements. These connections con allow a significant fraction of the knowledge of the system to be applied to an instance of a problem in o very short time. One kind of computation for which massively porollel networks appear to be well suited is large constraint satisfaction searches, but to use the connections efficiently two conditions must be met: First, a search technique that is suitable for parallel networks must be found. Second, there must be some way of choosing internal representations which allow the preexisting hardware connections to be used efficiently for encoding the constraints in the domain being searched. We describe a generol parallel search method, based on statistical mechanics, and we show how it leads to a general learning rule for modifying the connection strengths so as to incorporate knowledge obout o task domain in on efficient way. We describe some simple examples in which the learning algorithm creates internal representations thot ore demonstrobly the most efficient way of using the preexisting connectivity structure. 1.
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