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NASA Scientific and Technical Aerospace Reports

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with low precision components, <strong>and</strong> some mathematical properties of the modulation scheme. A CMOS chip has been<br />

designed implementing the architecture.<br />

Author<br />

Very Large Scale Integration; Waveforms; Quadratures; Transmitters<br />

20060002182 Sophia Univ., Tokyo, Japan<br />

Relaxation-Based Algorithm by Variable Virtual Capacitors for Analysis of Large Stiff Nonlinear Networks<br />

Tanaka, Mamoru; Asai, Mitsuo; 1987 IEEE International Symposium on Circuits <strong>and</strong> Systems, Volume 2; 1987, pp. 617-620;<br />

In English; See also 20060002103; Copyright; Avail.: Other Sources<br />

Stiff nonlinear state equations are converted to nonlinear nodal algebraic equations in each time step. In the new<br />

algorithm, the nodal equations linearized by Newton Raphson (NR) method are converted to the linear virtual state equations<br />

by inserting a virtual capacitor between each node <strong>and</strong> the reference node. And then, linear Gauss Seidel(GS) method is<br />

applied to the linearized equations which are obtained in each time step h by applying Backward Euler (BE) method to the<br />

state equations. The most important process is to change the values of the virtual capacitors in each step of the NR method<br />

in order to converge solution <strong>and</strong> to speed up. Simulation results by Sophia Relaxation Program (SRP) are shown for DC<br />

analysis of bipolar circuits <strong>and</strong> for transient analysis of SRAM MOS circuits.<br />

Author<br />

Algorithms; Nonlinear Equations; Equations of State; Capacitors; Waveforms; Relaxation Method (Mathematics)<br />

20060002187 Syracuse Univ., NY, USA<br />

Theoretical <strong>and</strong> Experimental Characterization of Multiconductor Transmission Lines<br />

Sarkar, Tapan K.; Rahalarabi, Tawfik; Harrington, Roger F.; Djordjevic, Antonije R.; 1987 IEEE International Symposium on<br />

Circuits <strong>and</strong> Systems, Volume 2; 1987, pp. 511-513; In English; See also 20060002103; Copyright; Avail.: Other Sources<br />

The basic objective of this presentation is to outline a methodology for the analysis of multiconductor transmission lines<br />

embedded in multiple lossy dielectric media. To check the accuracy of the theoretical analysis, we have compared the<br />

theoretical results with experiment.<br />

Author<br />

Transmission Lines; Lossy Media; Embedding; Dielectrics<br />

20060002189 Calgary Univ., Alberta, Canada<br />

Design of Allpass Digital Ladder Networks Using Bilinear Transformation Integrators<br />

Nowrouzian, B.; Turner, L. E.; Fong, R.; Lee, L. S.; 1987 IEEE International Symposium on Circuits <strong>and</strong> Systems, Volume<br />

2; 1987, pp. 649-655; In English; See also 20060002103<br />

Contract(s)/Grant(s): NSREC-A5715; Copyright; Avail.: Other Sources<br />

A general procedure for designing two dimensional (2D) velocity filters based on array filters derived originally for<br />

multichannel (multiple input single output) processing of the recordings of an array of sensors is presented. These filters can<br />

be implemented in the frequency domain using the 2D Fast Fourier Transform. A specific case of velocity filters based on a<br />

family of multichannel array filters obtained recently for attenuating a coherent interference in the array recordings is worked<br />

out in detail.<br />

Author<br />

Integrators; Digital Filters; Multichannel Communication; Fourier Transformation<br />

20060002190 Keio Univ., Japan<br />

Period-doubling Bifurcation <strong>and</strong> Chaos in a Constrained Circuit<br />

Inaba, Naohiko; Saito, Toshimichi; Mori, Shinsaku; 1987 IEEE International Symposium on Circuits <strong>and</strong> Systems, Volume<br />

2; 1987, pp. 668-671; In English; See also 20060002103; Copyright; Avail.: Other Sources<br />

It is shown that the phenomena such as a period-doubling bifurcation <strong>and</strong> chaos generated in the Shinrikis’ circuit could<br />

be well explained by a simplified model which we here after call as the Ideal Model. Here the idealization means that the<br />

diodes in the circuit operate as an ideal switch. It is considered that the Ideal Model is the simplest chaos generating circuit<br />

because it is constructed from 3 reactance elements, one negative resistance <strong>and</strong> only one nonlinear element constructed from<br />

diodes where the operation of such nonlinear element is extremely simple. From this model, Poincar_ map could be derived<br />

78

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