Multi-user detection based on quantum signal processing

Covariance shaping least squares estimator is a new kind of linear estimator based on covariance shaping in quantum signal processing (QSP) framework. In this paper, the covariance shaping least squares (CSLS) estimator is applied to multi-user detection that leads to a new detection algorithm, covariance shaping multi-user detection algorithm. The numerical simulations in synchronous DS-CDMA communications system are performed and compared with other linear detection algorithms under the same condition. The results show that the performance of covariance shaping multi-user detection is better than that of traditional MF and decorrelation detection, and is an approach to the MMSE detection method. Moreover, covariance shaping multi-user detection method depends only on the userspsila signatures and do not require knowledge of the channel parameters.