Quantum Electronics

Contains reports on three research projects.U. S. Air Force - Office of Scientific Research (Contract F44620-71-C-0051)Joint Services Electronics Program (Contract DAAB07-74-C-0630)University of California, Livermore (Subcontract 7877409

Optimal monitoring network designs

The selection of a monitoring network is formulated as a decision problem whose solutions would then be optimal. The theory is applied where the underlying field has a multivariate normal probability structure.decision analysis information theory network design proper local utility monitoring networks

Spatial sampling design for prediction with estimated parameters

We study spatial sampling design for prediction of stationary isotropic Gaussian pro-cesses with estimated parameters of the covariance function. The key issue is how to incor-porate the parameter uncertainty into design criteria to correctly represent the uncertainty in prediction. Several possible design criteria are discussed that incorporate the parameter uncertainty. A simulated annealing algorithm is employed to search for the optimal design of small sample size and a two-step algorithm is proposed for moderately large sample sizes. Simulation results are presented for the Matérn class of covariance functions. An example of redesigning the air monitoring network in EPA Region 5 for monitoring sulfur dioxide is given to illustrate the possible differences our proposed design criterion can make in practice. Key Words: Fisher information matrix; Geostatistics; Kriging; Kullback divergence; Op-timization; Simulated annealing