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首页> 外文期刊>WSEAS Transactions on Signal Processing >Design of Stable IIR filters with prescribed flatness and approximately linear phase
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Design of Stable IIR filters with prescribed flatness and approximately linear phase

机译：具有规定平坦度和近似线性相位的稳定IIR滤波器的设计

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摘要

This paper presents a design method of infinite impulse response (IIR) filters with prescribed flatness and approximately linear phase characteristics using quadratic programming (QP). It is utilized in this paper for the design of Chebyshev type, inverse Chebyshev type filters, and simultaneous Chebyshev type filters with the prescribed flatness in passband and stopband. In the proposed method, the flatness condition in stopband is prein-corporated into the transfer function. Then, the flatness condition in passband and the filter's stability condition are, respectively, added to the QP problem as the linear matrix equality and linear matrix inequality constraints. As a result, the proposed method can easy design these three types of filter by only change of the design parameters. The effectiveness of the proposed design method is illustrated with some examples.
机译：本文提出了一种采用二次编程（QP）的具有规定平坦度和近似线性相位特性的无限脉冲响应（IIR）滤波器的设计方法。本文将其用于Chebyshev型，逆Chebyshev型滤波器和同时具有通带和阻带规定平坦度的Chebyshev型滤波器的设计。在所提出的方法中，将阻带中的平坦度条件预先合并到传递函数中。然后，将通带的平坦度条件和滤波器的稳定性条件分别作为线性矩阵等式和线性矩阵不等式约束添加到QP问题中。结果，所提出的方法仅通过改变设计参数就可以容易地设计这三种类型的滤波器。通过一些实例说明了所提出的设计方法的有效性。

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