This paper investigates the visualization and animation of geometric computing in a distributed electronic classroom. We show how focusing in a well-defined domain makes it possible to develop a compact system that is...
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This paper investigates the visualization and animation of geometric computing in a distributed electronic classroom. We show how focusing in a well-defined domain makes it possible to develop a compact system that is accessible to even naive users. We present a conceptual model and a system, GASP-II (Geometric Animation System, Princeton, II), that realizes this model in the geometric domain. The system allows the presentation and interactive exploration of 3D geometric algorithms over a network.
The concept of rotations in continuous-time, continuous-frequency is extended to discrete-time, discrete-frequency as it applies to the Wigner distribution. As in the continuous domain, discrete rotations are defined ...
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The concept of rotations in continuous-time, continuous-frequency is extended to discrete-time, discrete-frequency as it applies to the Wigner distribution. As in the continuous domain, discrete rotations are defined to be elements of the special orthogonal group over the appropriate (discrete) field. Use of this definition ensures that discrete rotations will share many of the same mathematical properties as continuous ones. A formula is given for the number of possible rotations of a prime-length signal, and an example is provided to illustrate what such rotations look like. In addition, by studying a 90 degree rotation, we formulate an algorithm to compute a prime-length discrete Fourier transform (DFT) based on convolutions and multiplications of discrete, periodic chirps. This algorithm provides a further connection between the DFT and the discrete Wigner distribution based on group theory.
A design technique recently proposed in [7] for stabilization of a linear system with rate-limited actuators is utilized to design feedback laws that cause the system output to track a desired command signal. This des...
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This paper considers model validation as a design tool during controller synthesis for nonlinear systems. Model validation, using uncertainty with varying dynamic characteristics, is combined with nonlinear simulation...
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This paper considers model validation as a design tool during controller synthesis for nonlinear systems. Model validation, using uncertainty with varying dynamic characteristics, is combined with nonlinear simulation and /spl mu/-synthesis to form a design algorithm. This methodology is investigated using, as an example system, the Moore-Greitzer model of rotating stall in a jet engine.
This paper provides an introduction to the facilities for sparse matrices available in version 4 of MATLAB. Sparse matrices arise in many problems of science and engineering, for example in the solution of large linea...
In a fuzzy number neural network, the inputs, weights, and outputs are general fuzzy numbers. The requirement that F~/sup /spl alpha/(1)//spl sub/F~/sup /spl alpha/(2/) whenever /spl alpha/(1)>/spl alpha/(2) impose...
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In a fuzzy number neural network, the inputs, weights, and outputs are general fuzzy numbers. The requirement that F~/sup /spl alpha/(1)//spl sub/F~/sup /spl alpha/(2/) whenever /spl alpha/(1)>/spl alpha/(2) imposes an enormous number of constraints on the weight parameterizations during training. This problem can be solved through a careful choice of weight representation. This new representation is unconstrained, so that standard neural network training techniques may be applied. Unfortunately, fuzzy number neural networks still have many parameters to pick during training, since each weight is represented by a vector. Thus moderate to large fuzzy number neural networks suffer from the usual maladies of very large neural networks. In this paper, we discuss a method for effectively reducing the dimensionality of networks during training. Each fuzzy number weight is represented by the endpoints of its /spl alpha/-cuts for some discretization 0/spl les//spl alpha//sub 1/
A software package to simulate ATM switches, written in the C++ programming language, is presented and its main modules and objects are described. The core element of our design is a so-called "switch element&quo...
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A software package to simulate ATM switches, written in the C++ programming language, is presented and its main modules and objects are described. The core element of our design is a so-called "switch element" object that performs the basic operations of point-to-point routing and provides additional functionality such as buffering and multicasting. The simulator has been designed to accommodate the shared-memory and the space-division approaches and even to mix them. It is therefore able to simulate a single-stage N/spl times/N switching element and a multistage interconnection network at different abstraction levels and under a multiplicity of input traffic models and connection patterns.
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