ADAPTIVE DETECTION RECEIVERS AND REPRODUCING DENSITIES.
Abstract
The design of detection equipment that can 'learn for itself' the values of necessary constants (parameters) unknown to the designer or user has been the recent goal of theoretical research. The theory developed to date required the designer to specify the a priori distribution of the uncertain parameters. This paper points out a physically important property: the likelihood ratio of observation may be obtained in a two-step process. The observed input is first processed through a receiver section designed on the basis of a simple mathematically tractable a priori distribution. This is the major bulk of the processing. The output of this first section is a small handful of numbers (sufficient statistics) which are then used in calculation of the likelihood ratio for the user's chosen a priori function. The output of this second computation section is then compared to a threshold to obtain a terminal yes-no decision. Thus the major design work can proceed without knowledge of the actual statistical distribution to be used. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1968
- Accession Number
- AD0677466
Entities
People
- Theodore G. Birdsall
Organizations
- University of Michigan