Some Aspects of Swerling Models for Fluctuating Radar Cross Section

The structure of Swerling´s 1957 model for fluctuating radar cross section and signal amplitude is examined prinwrily in terms of mixture representations. The authors also show the relationship of Nakagami´s m distrubution to Swerling´s amplitude distribution, and Nakagami´s q distribution (Hoyt vector density) is reduced to the Swerling distribution. Nonuniform phase distributions associated with Swerling´s functions are also derived. Results are given when Swerling´s amplitude density is used as a prior distribution with Bennett´s (Rice´s) distribution for the amplitude of a sine wave plus narrowband Gaussian noise.