论文标题
最小相变和滤波器设计
On minimum phase transformation and filter design
论文作者
论文摘要
最小相有限的脉冲响应过滤器在实践中广泛使用，并且许多研究专门用于此类滤镜的设计。但是，对于Chebyshev过滤的重要情况，当前的最佳实践与完善的理论原则之间存在奇怪的不匹配。该论文表明，可以通过分析合适的扩展矩阵的时间域分解来理解这种差异。该分析解释了为什么必须修改可分解线性相滤波器的定义。分数分析的时间域分析表明初始值导致迭代算法的快速，准确收敛，以设计最小相有限的脉冲响应过滤器。提供了数值结果，以证明当正确地应用理论原理时，将获得过滤器水龙头的准确性的显着提高，将其正确应用于最小相有限脉冲响应过滤器的设计。
Minimum-phase finite impulse response filters are widely used in practice, and much research has been devoted to the design of such filters. However, for the important case of Chebyshev filters there is a curious mismatch between current best practice and well-established theoretical principles. The paper shows that this difference can be understood through analysis of the time-domain factorization of a suitable extended matrix. This analysis explains why the definition of a factorable linear phase filter must be revised. The time domain analysis of factorization suggests initial values leading to fast and accurate convergence of iterative algorithms for the design of minimum-phase finite impulse response filters. Numerical results are provided to demonstrate that a significant improvement in filter tap accuracy is obtained when the well-established theoretical principles are correctly applied to the design of minimum phase finite impulse response filters.
