Solitary Occupancy for Unequal Cell Probabilities with Application to Doppler Radars for Ocean Surveillance.
Abstract
An occupancy problem in combinatorial theory is investigated whose solution has application in ocean surveillance. In particular, theory is developed for calculating the probability of solitary occupancy of N objects in M cells of unequal cell probabilities. For t = 2, 3,...,N the sum of the cell probabilities when all are raised to the t th power is defined as a new variable. These N-1 new variables are shown to be sufficient as arguments in representing the above probability as a polynomial equation. As an application, the theory is used to calculate the capability of a doppler radar to resolve N ship dopplers contained in the same range and azimuth cell. An integration method is also employed to calculate the same capability. The agreement is excellent between both methods. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 20, 1974
- Accession Number
- AD0780692
Entities
People
- Harold L. Stalford
Organizations
- United States Naval Research Laboratory