为满足太赫兹无线通信系统对大容量基带信号处理算法的要求, 基于直接从多项式分解导出的传统滤波器并行实现算法, 通过矩阵变化推导出复杂度更小的快速有限冲激响应(FIR)滤波器并行实现。在此基础上通过张量积的表示给出了 2并行、 4并行和 8并行的转换公式以及实现架构。既而推导出 2N并行快速 FIR滤波器的通用实现公式, 并对比了优化前后的复杂度差异。最后给出了 64并行的快速 FIR滤波器的推导公式和具体实现架构, 以及优化前后的硬件复杂度对比, 64并行的快速 FIR滤波器算法资源消耗更少。

In order to meet the requirements of the terahertz wireless communication system for large-capacity baseband signal processing algorithms, basing on the traditional filter parallel implementation algorithm derived directly from polynomial decomposition, a parallel implementation of a fast Finite Impulse Response(FIR) filter with less complexity is derived by matrix variation. On this basis, the 2 parallel, 4 parallel and 8 parallel conversion formulas and implementation architecture are given by the tensor product representation. The general implementation formula of the parallel fast FIR filter is derived and the complexity difference before and after optimization is compared. Finally, the derivation formula and specific implementation architecture of the 64 parallel fast FIR filter are given, as well as the hardware complexity comparison before and after optimization.