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本文针对CDMA系统中的多用户检测，探讨信号子空间作为一种无约束最小化问题的解这一新的解释，在此基础上分析并研究了一种新的跟踪信号子空间的方法：PASTd算法．分析表明，通过适当的投影近似，最小化任务简化为众所周知的指数加权是小二乘问题，从而可以运用递归最小二乘（RLS）方法来有效地跟踪信号子空间。该算法的计算复杂度为O（nr）．计算机仿真结果证明了PASTd算法的有效性，从而该算法对于基于子空间的盲线性多用户检测器的实现具有研究和参考意义．
Aiming at the multi-user detection in CDMA system, this paper discusses the new explanation of the signal subspace as a solution to the problem of unconstrained minimization, and based on this, analyzes and studies a new method of tracking signal subspace: PASTd algorithm. The analysis shows that minimizing the task by suitable projection approximations reduces to the well-known exponential weighting problem of least squares, so that the signal subspace can be efficiently tracked using the Recursive Least Squares (RLS) method. The computational complexity of this algorithm is O (nr). Computer simulation results prove the effectiveness of the PASTd algorithm, so the algorithm has research and reference significance for the realization of the blind linear multi-user detector based on subspace.