一种高效数字滤波器结构及其灵敏度分析

An efficient orthogonal digital filter structure with sensitivity analysis

本文基于矩阵分解,提出了一种新的数字滤波器结构,并导出了其传递函数的灵敏度表达式。该结构实际上是文献[10]中提出结构的改进型,比后者更加简单,易于实现。同时,本文对此结构同传统的几个主要结构进行了性能上的比较。仿真结果表明,同经典最佳结构相比,新结构抵抗有限字长误差的能力与其非常接近,但由于结构的简洁性,新结构在实时信号处理中具有更大的实用价值。

In this paper, a novel digital filter structure is derived based on a matrix factorization. This structure is actually an improved version of the one reported in [10] but much simpler for implementation. The performance of such a structure is analyzed by deriving the expression for its sensitivity measure. Simulations shows that the proposed structure has almost the same performance against finite word length errors as the traditional optimal structures but much more efficient for real-time implementation.