Design of Sparse FIR Decision Feedback Equalizers in MIMO Systems Using Hybrid l₁/l₂ Norm Minimization and the OMP Algorithm.
Design of Sparse FIR Decision Feedback Equalizers in MIMO Systems Using Hybrid l₁/l₂ Norm Minimization and the OMP Algorithm.
复制标题
使用混合 l1/l2 范数最小化和 OMP 算法设计 MIMO 系统中的稀疏 FIR 决策反馈均衡器
DOI：
10.3390/s18061860
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发表时间：
2018-06-06
期刊：
影响因子：
--
通讯作者：
Liu H
中科院分区：
文献类型：
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作者：
Yu L;Zhao J;Xu W;Liu H
提出了一种基于混合l1/l2范数最小化和正交匹配追踪（OMP）算法的多输入多输出（MIMO）系统稀疏有限冲激响应（FIR）判决反馈均衡器（DFE）设计方法。为了在保证设计精度的前提下减少FIR DFE的非零抽头数，将稀疏FIR DFE的设计问题转化为l0范数最小化问题，并利用该方法得到稀疏解.在所提出的方案中，使用OMP算法解决了一系列最小加权l2范数问题。通过混合l1/l2范数最小化算法计算对角加权矩阵，并利用对角加权矩阵中不同的权值对非零抽头位置进行校正。仿真结果表明，与最小均方误差（MMSE）准则下的非稀疏最优DFE相比，该方法设计的稀疏FIR MIMO DFE在性能损失较小的情况下，非零抽头数显著减少。此外，该方案提供了更好的设计精度比OMP算法具有相同的稀疏水平。
In this paper, a novel scheme using hybrid l1/l2 norm minimization and the orthogonal matching pursuit (OMP) algorithm is proposed to design the sparse finite impulse response (FIR) decision feedback equalizers (DFE) in multiple input multiple output (MIMO) systems. To reduce the number of nonzero taps for the FIR DFE while ensuring its design accuracy, the problem of designing a sparse FIR DFE is transformed into an l0 norm minimization problem, and then the proposed scheme is used to obtain the sparse solution. In the proposed scheme, a sequence of minimum weighted l2 norm problems is solved using the OMP algorithm. The nonzero taps positions can be corrected with the different weights in the diagonal weighting matrix which is computed through the hybrid l1/l2 norm minimization. The simulation results verify that the sparse FIR MIMO DFEs designed by the proposed scheme get a significant reduction in the number of nonzero taps with a small performance loss compared to the non-sparse optimum DFE under the minimum mean square error (MMSE) criterion. In addition, the proposed scheme provides better design accuracy than the OMP algorithm with the same sparsity level.
DOI：
10.3390/s120202118
发表时间：
2012
期刊：
Sensors (Basel, Switzerland)
影响因子：
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作者：
Zhang G;Hovem JM;Dong H
通讯作者：
Dong H