Abstract: The cross fourth-order cumulants and their diagonal slices are respectively derived for both complex- and real-valued stochastic harmonic signals in hybrid colored noises.These diagonal slices can be used to estimate the same frequencies and phase shifts,but the different cross powers with the scale factor 3/16 with respect to complex and real-valued cases.By combining the cross fourth-order cumulants with high-resolution ESPRIT(estimation of signal parameters via rotational invariance techniques) algorithm,a TLS-ESPRIT approach to jointly estimating harmonic parameters in hybrid colored noises is presented.The simulation results demonstrated that the proposed joint estimation approach to harmonic parameters can suppress the hybrid colored noises,and retrieval the harmonic parameters with excellent estimation performance.