Probability density functions for objects with low radar cross section
Publish date: 2019-05-15
Report number: FOI-R--4762--SE
Pages: 18
Written in: Swedish
Keywords:
- missile
- probability density function
- RCS
- fluctuations
- Rice-distribution
- Rayleigh distribution
- Chi-square distribution
- Swerling cases
Abstract
In this report it is studied how a received radar signal fluctuates as a function of a stochastic angular change in the horizontal plane and as a function of frequency and the number of integration pulses. This has been investigated for a generic tactical ballistic missile with low radar cross section. Three probability density functions, the Rayleigh, Rice and Chi-square distributions of two and four degrees of freedom which correspond to the Swerling-cases 1-4, have been compared to simulated data. The results show good agreement between the Rice distribution and the simulated data, and that in about 80% of the cases it is not possible to reject the hypothesis at the significance level 0.01 that the data is Rice-distributed. The tests have been performed using a Chi-square test.