Copula ambiguity function for wideband random radar signals

In this paper we suggest the improvement and generalization of the wideband ambiguity function for radar signals. Sounding waveforms and reflected radar signals have different probability density functions, and this fact is not taken into account in classical definition of an ordinary ambiguity function. The proposed generalization of the ambiguity function is based on the copula notion and does not depend on a probability density function. The generalized copula ambiguity function is useful for both analysis/synthesis of sounding waveforms (auto-ambiguity) and reflected signal detection/measurement (cross-ambiguity). Application of this approach gets rid of a dependence on the signal probability distribution, implementing actually non-parametric approach with CFAR.