Cross sections and radar equation for nonlinear scatterers
Abstract
Nonlinear effects are produced by a number of manmade objects which are to be detected by radar. The considered investigation has the objective to provide a conceptual framework which makes it possible to characterize scattering from nonlinear objects in a quantitative and systematic way. The approach rests upon work done on modeling the inputoutput relationship of timeinvariant finitememory nonlinear systems. The employed approach utilizes a series of higher order convolution integrals to obtain a polynomialtype representation of the inputoutput behavior of the nonlinear system. The kernels of the convolution integrals are impulse responses characterizing the linear, quadratic, and cubic features of the model. The concept of nonlinear transfer functions may be generalized to a hierarchy of linear and nonlinear scattering cross sections which may be used to model the linear and nonlinear scattering features of the target and to generalize the radar equation for nonlinear scattering objects.
 Publication:

IEEE Transactions on Aerospace Electronic Systems
 Pub Date:
 July 1981
 DOI:
 10.1109/TAES.1981.309193
 Bibcode:
 1981ITAES..17..602P
 Keywords:

 Convolution Integrals;
 Nonlinear Equations;
 Radar Cross Sections;
 Radar Scattering;
 Scattering Cross Sections;
 Backscattering;
 Nonlinear Systems;
 Radar Targets;
 Spectrum Analysis;
 Transfer Functions;
 White Noise;
 Communications and Radar