arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1611.04429cs.ITmath.IT
收藏

GFDM系统的矩阵特征:低复杂度MMSE接收机和最佳原型滤波器

Matrix Characterization for GFDM Systems: Low-Complexity MMSE Receivers and Optimal Prototype Filters

Po-Chih Chen, Borching Su, Yenming Huang

摘要:

在本文中,提出了一种新的基于矩阵的广义频分复用(GFDM)发射机矩阵的表征,而不是传统的基于向量的表征与原型滤波器。该特征便于推导出GFDM(发射机)矩阵的性质,包括GFDM矩阵分别为非奇异和酉的条件。使用新的表征,存在的一种形式的低复杂度实现的最小均方误差(MMSE)接收机的必要和充分条件。如果GFDM发射机矩阵被选择为酉的,则在多径信道下存在这样的实现。对于这种实现不存在的情况下,提出了一种低复杂度的次优MMSE接收机,其性能接近MMSE接收机。新的表征也使最佳原型滤波器的推导最小化接收机均方误差(MSE)。他们被发现对应于在许多情况下使用酉GFDM矩阵。在GFDM系统中使用这样的最佳滤波器不会引起噪声增强的问题,从而证明了与正交频分复用相同的MSE性能。此外,我们发现,GFDM矩阵的大小为2的幂被证明存在于酉GFDM矩阵类。最后,虽然带外(OOB)的辐射性能的系统使用一个单一的GFDM矩阵一般不是最佳的,它表明,OOB辐射可以令人满意的低,如果在新的表征参数仔细选择。

英文摘要:

In this paper, a new matrix-based characterization of generalized-frequency-division-multiplexing (GFDM) transmitter matrices is proposed, as opposed to traditional vector-based characterization with prototype filters. The characterization facilitates deriving properties of GFDM (transmitter) matrices, including conditions for GFDM matrices being nonsingular and unitary, respectively. Using the new characterization, the necessary and sufficient conditions for the existence of a form of low-complexity implementation for a minimum mean square error (MMSE) receiver are derived. Such an implementation exists under multipath channels if the GFDM transmitter matrix is selected to be unitary. For cases where this implementation does not exist, a low-complexity suboptimal MMSE receiver is proposed, with its performance approximating that of an MMSE receiver. The new characterization also enables derivations of optimal prototype filters in terms of minimizing receiver mean square error (MSE). They are found to correspond to the use of unitary GFDM matrices under many scenarios. The use of such optimal filters in GFDM systems does not cause the problem of noise enhancement, thereby demonstrating the same MSE performance as orthogonal frequency division multiplexing. Moreover, we find that GFDM matrices with a size of power of two are verified to exist in the class of unitary GFDM matrices. Finally, while the out-of-band (OOB) radiation performance of systems using a unitary GFDM matrix is not optimal in general, it is shown that the OOB radiation can be satisfactorily low if parameters in the new characterization are carefully chosen.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑