一种双原型近似完全重构FBMC-QAM系统的快速设计算法

Fast design of double prototype filters for NPR FBMC-QAM system

针对直接设计算法的计算复杂度高的问题,提出了一种双原型近似完全重构(NPR)滤波器组多载波/正交幅度调制系统(FBMC-QAM)的快速设计算法。综合考虑系统的载波间干扰(ICI)、符号间干扰(ISI)和双原型滤波器的频率特性,将双原型滤波器的设计归结为一个无约束优化问题,进而采用双迭代机制求解。迭代中,利用矩阵求逆引理和块Toeplitz矩阵快速求逆算法,显著减小计算复杂度。仿真实验表明,本算法设计的FBMC-QAM系统具有良好的整体性能,适用于大规模系统的快速设计。

Since the direct design is complicated,a fast design algorithm is proposed for double prototype filters of NPR FBMC-QAM in this paper.The design problem is formulated as an unconstrained optimization problem,which minimizes ISI/CI of FBMC-QAM and frequency characteristic of double prototype filters.The optimization problem can be solved via the bi-iterative scheme.In each iteration,the computational complexity can be dramatically decreased by employing the matrix inverse lemma and the fast algorithm for Toeplitz-block Toeplitz matrix inversion.Numerical examples are demonstrated that the proposed algorithm can lead to the FBMC-QAM with an improved performance and is suited to the fast design of the large scale system.