Accession Number : AD0769497
Title : Multiple-Two-Hypothesis Testing - A New Method for Determining Signal Content.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
Personal Author(s) : Nowacki,John A.
Report Date : SEP 1973
Pagination or Media Count : 122
Abstract : Detecting and classifying overlapping waveforms can be done using M-ary hypothesis testing. A new detection method, multiple-two-hypothesis testing, is developed by minimizing the probability of error for each decision made, and is shown to have computational advantages over M-ary hypothesis testing. A sequential test is developed from multiple-two-hypothesis testing, and it is also shown to have computational advantages over M-ary hypothesis testing. The three detection methods are applied to the synchronous detection of two signals with no overlap, and their performances are compared. Then M-ary hypothesis testing and multiple-two-hypothesis testing are applied to the synchronous detection of two signals with one overlap and error equations are presented for the two methods. Finally, multiple-two-hypothesis testing is combined with maximum a posteriori estimation to solve nonsynchronous detection problems. (Author)
Descriptors : (*Information theory, Statistical analysis), (*Signal processing, White noise), (*Waveforms, Classification), Hypotheses, Decision theory, Probability density functions, Statistical tests, Sonar, Radio astronomy, Radar, Theses
Subject Categories : Cybernetics
Distribution Statement : APPROVED FOR PUBLIC RELEASE