Multiple-Two-Hypothesis Testing - A New Method for Determining Signal Content.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1973
- Accession Number
- AD0769497
Entities
People
- John A. Nowacki
Organizations
- Air Force Institute of Technology