CHERNOFF BOUND AND
STATISTICAL RESOLUTION LIMIT UTILIZATION FOR ACCURACY EVALUATION OF
MINIMUM PHASE METHOD RADIOHOLOGRAPHIC OBJECTS PARAMETERS ESTIMATION AND
REFERENCE SET CONSTRUCTION
A. S. Gvozdaryev, T. K. Artyomova, K. S. Artyomov
Yaroslavl State University
Received
December 11, 2012
Abstract. Minimum-phase reference
method for objects’ dimensions estimation is analyzed. Reference set parameter
minimal step is selected in accordance with two criteria: the constrains on
acceptable probabilities of detection or total error and the magnitude of the
statistical resolution limit. In case of the statistical resolution limit
criterion the scalar and vector Cramer-Rao lower bound for minimal-phase method
is obtained and analyzed. For the detection and total error probabilities
Chernoff inequality constraint is assumed. The method’s accuracy dependence on
signal-to-noise ratio, sample size and the estimated parameter value are
derived and analyzed. Guidelines for holographic system exploiting
minimum-phase method design process are proposed.
Key words: parameter estimation,
radioholographic system, reference set method, Chernoff bound, statistical
resolution limit.