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本文讨论了运用线性规划设计递归数字滤波器。在求解滤波器稳定性问题时,通常是利用试探法或者把充分的但不是必要的线性稳定性约束条件加到滤波器的逼近方法中。本文提出了一种求解这类稳定性问题的不同方法。作为一个例子,在新近的 Chottera 和 Julien 方法中,采用了这一稳定性的新方法同时对给定的幅度和线性相位特性进行逼近,我们发现这种方法将使计算时间和数据处理量大幅度减少。文中通过几个设计例子的比较,说明了改善程度。
This article discusses the use of linear programming to design recursive digital filters. In solving filter stability problems, it is common to use heuristics or add sufficient but not necessary linear stability constraints to the filter approximation. This paper presents a different approach to solving this type of stability problem. As an example, in a recent Chottera and Julien approach, a new approach to this stability was applied to approximate a given amplitude and linear phase behavior, and we found that this approach would result in significant computation time and data throughput cut back. Through the comparison of several design examples, this paper shows the improvement degree.