On a condition for stability of the solutions of linear problems for homogeneous random fields
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Abstract
We study the error in the best linear estimator of a homogeneous field when the spectrum and realization of the field are known only approximately. It is shown that when the spectrum and realization are nearly true in a certain sense, the error in the estimator is close to that which would occur with the spectrum and realization known precisely.
Keywords
Random Field Linear Problem Linear Estimator Homogeneous Field Homogeneous Random Field
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Literature cited
- 1.I. G. Petrovskii,Lectures on the Theory of Integral Equations, Graylock Press, Rochester, New York (1957).Google Scholar
- 2.V. F. Pisarenko, “Linear problems for imprecisely given random processes,”Probl. Peredachi Inform., No. 4, 56–67 (1966).Google Scholar
Copyright information
© Plenum Publishing Corporation 1991