The blind adaptive multiuser detections based on higher-order statistics （HOS） can obtain higher steady-state decorrelating performance than the conventional linear algorithm under the high SNR con- dition. However, the closed-form analysis for this steady-state performance is scarce due to the com- plication of analyzing the nonlinear updates of the adaptive algorithm. An analysis approach based on ordinary differential equation （ODE） method is proposed to get the closed-form excess mean-square error （EMSE） expression of the HOS-based multiuser detections. The simulation and the comparison verify the results of the analysis.
