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Projects in 1989–1990


Jet Propulsion Laboratory: Linear and Non-Linear Estimation

Advisor
Gunnar Andersson
College
CGU

The team considered the problem of determining a good, in some sense, experimental design when the process of taking observations suffers from severe restrictions in respect to the number of points that can be observed. In particular, the team discussed the minimum number of points needed for estimation purposes of the parameters in the model. They also considered the situation where the experiment didn't allow them to estimate the error in the model.

For estimation purposes, different models give rise to different conclusions based on the number of parameters in the model under consideration. They illustrated how omitting terms in a more general model will change the appropriate experimental design for the sub-models. Models considered were of up to third degree in two variables and linear in the parameters. Lastly, results in the linear models can be compared to a limited class of non-linear models.

Jet Propulsion Laboratory: Robust Experimental Design

Advisor
Phillip Good
College
CGU

JPL is interested in finding the optimal data set and parameter set to obtain the best predictive results from the proposed linear regression model.

McDonnell Douglas: Density and Energy Distribution of Electrons in the Lower Van Allen Belts

Advisor
Mario Martelli

Accurate specification of natural radiation environments have an impact on the design of space electronics. Poor specification of the environment and its effects can cause serious system anomalies and loss of mission capability. The radiation belt environments have not been updated in 20 years.

The objective of this study is to use newer satellite data to upgrade and update Van Allen belt inner zone electron radiation models at low altitude. The low altitude radiation belt models are based upon early satellite results. The more recent satellite data have not been organized into model form and compared with the accepted models. This task will do this comparison.

Northrop B2 Division: An Investigation of Reflection, Transmission, and Absorption of Electromagnetic Energy Interacting With Waveguides

Advisor
Robert Borrelli

Inlet and exhaust cavities can be important sources of scattering for low observable “stealthy” vehicles. Analyzing these cavities considered as waveguides may provide a simple characterization of the cavities' radar backscatter.

Task I. Consider a rectangular and circular waveguide coated with a lossy (complex permittivity and/or permeability) isotropic material. Develop a computer code to calculate the energy transmission and attenuation per wavelength of the waveguide for the lowest modes of propagation. Extend this method to high model scattering. Perform optimization studies of attenuation for specific classes of materials.

Task II. Generalize Task I to consider a coated waveguide with N-Layers of isotropic material (cf. “An Investigation of Reflection, Transmission and Absorption of Electromagnetic Energy,” 1988/1989 Mathematics Clinic Final Report to B-2 Division).

Task III. Time permitting, generalize Task II to consider anisotropic material (cf. op. cit.).

Rand Corporation: Theory of Chaos Applied to Combat Models

Advisor
Stavros Busenberg

The objective of this project is to investigate the possibility that competitive populations that model attrition and reinforcement exhibit chaos, and, if so, to investigate ways to ameliorate the effects of that chaos.

Teledyne Microelectronics: Establishment of Statistical Process Control Program

Advisor
Henry Krieger

This project is a follow-on to the work already started by Harvey Mudd College in developing statistical process control systems for hybrid lead bond operations. With Harvey Mudd's assistance Teledyne wishes to review, study and implement a direct linkage between the testing/evaluation system and the automated wire bonding process. What is envisioned is a data linkage between two test systems and a computer/controller which will take precalculated statistical parameters from the two machines and calculate and continually monitor this statistical data. The controller/computer will also monitor the auto bond machine, and with these inputs send out updated optimized parameters (power, time and pressure) to the auto bonder.

Teledyne is looking to Harvey Mudd for not only proof of concept, but to presenting a full-up working model.

USC Information Sciences Institute: Heat Transfer in Transistors

Advisor
Hartmut Jung
College
CGU

The clinic will study heat transfer produced by electric current and its relation to electromigration phenomena in transistors.