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.
The detection performance is evaluated for our proposed analog multiuser receiver in Ultra-WideBand (UWB) transmitted-reference system. In the presence of dense multipath and multi-access signals,the performance analysis is difficult due to the complicated waveform of received impulse. We develop an approach to analyze the steady-state Signal-to-Interference-plus-Noise (SINR) of the detector output. The multipath-spread impulse is fitted to an exponentially decaying profile in the analysis. A closed-form expression of steady-state SINR is further deduced for the proposed Least Minimum Square (LMS) detector. The analysis is validated by simulations in Line-Of-Sight (LOS) and Non-Line-Of-Sight (NLOS) channel respectively. Based on the theoretical results,the multipath delay spread is employed to determine the optimal width of the integration window of the detector.
