THE FORMULATION AND ANALYSIS OF THE THEORY FOR DETERMINING REQUIRED RECEIVER MEMORY FOR SIGNAL DETECTION.
Abstract
The purpose of the report is to develop and evaluate a theory of memory applicable in statistical detection theory. An optimum finite memory approach is postulated and the resulting signal detector designs are evaluated for a class of problems including Signal-Known-Exactly (SKE), Signal-Known-Except Amplitude (SKEA), and M-ary Signaling. The finite memory detector design for a class of problems involving a transient signal is considered also. The transient signal is described in terms of one of a finite number of possible time varying waveforms which recur synchronously. The fixed-ended finite memory design for the non-sequential SKE problem is presented. This design involves problems where the observation length is specified a priori and a decision output is rendered only at the end of the observation. Also an open-ended finite memory design is presented which results from assuming a priori neither the eventual length of obervation nor the maximum length of observation. Using the Receiver Operating Characteristic (ROC) the open-ended finite memory design is evaluated and compared with the optimum infinite memory design. Results show that the infinite memory detector performance can be obtained by a very small finite memory detector involving seven states. The trade-off between detector memory and time is also apparent. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1970
- Accession Number
- AD0711827
Entities
People
- Ernest G. Baxa Jr.
Organizations
- Duke University