In this work, a novel block-wise Kaczmarz successive interference cancellation (BKSIC) detector, that is, a generalization of the Kaczmarz SIC detector proposed recently, is presented. Two reduced complexity versions of this detector are also detailed. This new detector is then analyzed using a matrix algebraic approach and shown that it is in fact a matrix filtering of the received signal, which allows the derivation of a closed form expression for its BER performance. Its convergence behavior is studied and the conditions of its convergence are determined. Simulation results indicate that the proposed block-wise SIC detector not only reduces significantly the detection delay but also achieves better BER performance.

在这项工作中，提出了一种新颖的逐块 Kaczmarz 连续干扰消除 (BKSIC) 检测器，即最近提出的 Kaczmarz SIC 检测器的推广。还详细介绍了该检测器的两个降低复杂度的版本。然后使用矩阵代数方法分析这个新的检测器，并表明它实际上是对接收信号的矩阵滤波，这允许推导出其 BER 性能的封闭形式表达式。研究其收敛行为并确定其收敛条件。仿真结果表明，所提出的逐块 SIC 检测器不仅显着降低了检测延迟，而且还实现了更好的 BER 性能。