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Design of linear-phase IIR digital filters using singular perturbational model reduction

机译:利用奇异摄动模型约简设计线性相位IIR数字滤波器

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摘要

A new technique for the design of a passband linear-phase infinite impulse response (IIR) digital filter is presented. This technique is based on computing orthonormal bases, which span the left and right invariant subspaces associated with the large and small eigenvalues of the cross-Gramian matrix W/sub c0/, which tends to be symmetric and easily constructed. The orthonormal bases are computed by using the ordered real Schur form decomposition, which has been proved to be robust and numerically stable. The proposed technique is illustrated by several examples.
机译:提出了一种设计通带线性相位无限冲激响应(IIR)数字滤波器的新技术。该技术基于计算正交基的基础,该正交基跨越与交叉格拉姆矩阵W / sub c0 /的大和小的特征值相关的左右不变子空间,后者倾向于对称且易于构造。通过使用有序实数Schur形式分解来计算正交基,这已被证明是鲁棒的并且在数值上是稳定的。几个示例说明了所提出的技术。

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