Design of IIR Digital Filters with Discrete Coefficients Based on MLS Criterion
Design of IIR Digital Filters with Discrete Coefficients Based on MLS Criterion
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DOI：
10.1093/ietfec/e89-a.4.1116
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发表时间：
2006-04
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影响因子：
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通讯作者：
M. Nakamoto;T. Hinamoto
中科院分区：
文献类型：
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作者：
M. Nakamoto;T. Hinamoto
本文讨论了离散空间中用有理传递函数描述的IIR数字滤波器的设计问题。首先，我们使用改进的最小二乘(MLS)准则形成滤波器设计问题，并将其表示为关于分子和分母系数的二次型。接下来，我们使用拉格朗日乘子法给出了松弛方法，以有效地搜索到好的解。此外，我们还可以在设计分母系数时检查滤波器的稳定性。最后，通过一个数值算例说明了该方法的有效性。
In this paper, we treat a design problem for IIR digital filters described by rational transfer function in discrete space. First, we form the filter design problem using the modified least-squares (MLS) criterion and express it as the quadratic form with respect to the numerator and denominator coefficients. Next, we show the relaxation method using the Lagrange multiplier method in order to search for the good solution efficiently. Additionally we can check the filter stability when designing the denominator coefficients. Finally, we show the effectiveness of the proposed method using a numerical example.