Cyclostationarity is an important statistical property of many signals

which has just been considered so far under Gaussian noise.In this paper

the degradation of the cyclic property is evaluated in the presence of stable distributed noises.A novel definition of the pth order cyclic correlation is proposed and the cyclic ambiguity function referred to as PCCA (pth order Cyclic Cross-Ambiguity) is developed.Simulation results demonstrate the efficiency of the proposed method in the joint estimation of time delay and Doppler shift understable and Gaussian noise condition.It is a more robust and significant method and its performance is super to CCA(Cyclic Cross-Ambiguity) and FLOAF(Fractional Lower Order Ambiguity Function).