Single scattering: correlation function of a signal at the output of matched filter

Abstract

We evaluate the correlation function of a radar signal scattered by inhomogeneities of turbulent medium and received by a radar station at the output of the matched filter. For the turbulent medium, we employ the model of wandering inhomogeneities, which is a generalization of the ‘frozen’ turbulence. The concepts of strong and weak wanderings are introduced. The case of bistatic radar station is considered. For a monostatic radar station, simple asymptotic formulas are obtained. It is shown that, in the short-wavelength limit, wanderings are almost always strong, and in the long-wavelength limit, the weak wandering limit takes place mainly in the long-wavelength approximation.

Keywords:

• Scattering of waves
• turbulence
• correlation function
• radar
• matched filter
• uncertainty function

Disclosure statement

No potential conflict of interest was reported by the author.