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.