北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2024, Vol. 47 ›› Issue (3): 83-89.

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基于稀疏矩阵的GFDM系统低复杂度算法

李飞,苏永钢,付磊,王蔚戎   

  1. 河北大学 电子信息工程学院
  • 收稿日期:2023-06-02 修回日期:2023-09-02 出版日期:2024-06-30 发布日期:2024-06-13
  • 通讯作者: 付磊 E-mail:leifuhappy@126.com
  • 基金资助:
    国家自然科学基金项目(62103126)

GFDM System Low-complexity Algorithm Based on Sparse Matrix

  • Received:2023-06-02 Revised:2023-09-02 Online:2024-06-30 Published:2024-06-13

摘要: 针对广义频分复用(GFDM)系统复杂度偏高,不能应对未来通信系统多种应用场景的需求问题,提出了基于稀疏矩阵的GFDM低复杂度调制解调算法。首先,分析GFDM的系统模型,给出两种不同的调制结构。之后,根据原型滤波器频域系数稀疏性的特点,利用不同的傅里叶变换对两种调制解调矩阵进行频域的稀疏化处理。再通过对稀疏矩阵的重新排列,可构造出不同的块对角矩阵。最后,利用构造的块对角矩阵对变换到频域的数据向量进行调制解调,则可有效降低GFDM系统的计算复杂度。仿真结果表明,在不同的子载波数量下,两种低复杂度算法不仅能取得较好的复杂度性能,还可以进一步突显GFDM灵活时频结构的优势。

关键词: 新型多载波技术, 广义频分复用, 复杂度, 稀疏矩阵

Abstract: A low-complexity modulation and demodulation algorithm based on sparse matrix is proposed to address the issue of high complexity in generalized frequency division multiplexing (GFDM) systems, which restricts its ability to meet the requirements of various application scenarios in future communication systems. Firstly, the system model of GFDM is analyzed, presenting two different modulation structures. Subsequently, the sparsity of the frequency domain coefficients of the prototype filter is leveraged to make the modulation and demodulation matrices sparse in frequency domain using different Fourier transforms. By rearranging the sparse matrices, various block diagonal matrices can be constructed. Finally, the block diagonal matrix is used to modulate and demodulate the data vector transformed to frequency domain, which can effectively reduce the computational complexity of GFDM system. Simulation results demonstrate that both low-complexity algorithms achieve good complexity performance under different numbers of subcarriers, while showcasing the advantages of GFDM's flexible time-frequency structure.

Key words: new multicarrier technology, generalized frequency division multiplexing, complexity, sparse matrix

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