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基于压缩感知追踪算法的低计算量分组稀疏均衡方案
刘佳宁,牛安东,苗硕,李英善
0
(1.南开大学 电子信息与光学工程学院,天津 300350;2.天津市光电传感器与传感网络技术重点实验室,天津 300350)
摘要:
在广义频分复用(Generalized Frequency Division Multiplexing,GFDM)系统中,为了应对复杂的信道带来的符号间干扰,基于信道的稀疏特性,使用广义记忆多项式(Generalized Memory Polynomial,GMP)模型对均衡器输入信号进行非线性建模,进而提出了一种基于压缩感知追踪算法和分组数据模式的低计算量分组稀疏均衡方案。该方案中,为了适应复杂变化的信道,均衡过程中采用了分组数据模式,此外,利用分块矩阵求逆的原理,摒弃了复杂的矩阵求逆运算,在每步的循环中使用矩阵乘法进行迭代计算的方式对正交匹配追踪(Orthogonal Matching Pursuit,OMP)算法及双正交匹配追踪(Double OMP,DOMP)算法进行了改进。仿真结果表明,此分组数据模式有效地改善了均衡效果,同时提出的改进算法在保证误符号率性能的前提下明显地降低了计算量,提升了运算速度。
关键词:  广义频分复用(GFDM)  广义记忆多项式(GMP)  压缩感知  分组数据模式  稀疏均衡
DOI:10.20079/j.issn.1001-893x.220329002
基金项目:国家自然科学基金资助项目(62171239)
A Low Computational Packet Sparse Equalization Scheme Based on Compressed Sensing Tracking Algorithm
LIU Jianing,NIU Andong,MIAO Shuo,LI Yingshan
(1.College of Electronic Information and Optical Engineering, Nankai University, Tianjin 300350, China;2.Tianjin Key Laboratory of Optoelectronic Sensor and Sensing Network Technology, Tianjin 300350, China)
Abstract:
In the generalized frequency division multiplexing(GFDM) system,in order to deal with the inter-symbol interference(ISI) caused by complex channels,based on the sparse characteristics of channels,the Generalized Memory Polynomial(GMP) model is used to model the nonlinearity of the equalizer’s input signal.And a low computational sparse packet equalization scheme based on compressed sensing tracking algorithm and packet data mode is proposed.The grouping data mode is adopted in the equalization process.In addition,based on the principle of block matrix inversion,the Orthogonal Matching Pursuit(OMP) algorithm and Doubly Orthogonal Matching Pursuit(DOMP) algorithm are improved by using matrix multiplication in each step of the cycle instead of complex matrix inversion operation.The simulation results show that this packet data mode effectively improves the equalization effect.At the same time,the improved algorithm significantly reduces the amount of calculation and improves the operation speed on the premise of ensuring the performance of symbol error rate.
Key words:  generalized frequency division multiplexing(GFDM)  generalized memory polynomial(GMP)  compressed sensing  packet data mode  sparse equalization