Probability density functions for objects with low radar cross section

Authors:

  • Magnus Gustavsson

Publish date: 2019-05-15

Report number: FOI-R--4762--SE

Pages: 18

Written in: Swedish

Keywords:

  • missile
  • probability density function
  • pdf
  • 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.