Derivation of the Class of Digital Filters With All Second-Order Modes Equal

被引：7

作者：

Yamaki, Shunsuke ^{[1
]}

Abe, Masahide ^{[1
]}

Kawamata, Masayuki ^{[1
]}

机构：

[1] Tohoku Univ, Dept Elect Engn, Kawamata Lab, Grad Sch Engn, Sendai, Miyagi 980, Japan

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2011年 / 59卷 / 11期

关键词：

Analytical solutions' L-2-sensitivity minimization; first-order FIR digital filters; frequency transformations; second-order modes; state-space digital filters; CLOSED-FORM SOLUTIONS; L-2-SENSITIVITY MINIMIZATION; ROUNDOFF NOISE; L-2-SCALING CONSTRAINTS; REAL POLES; SYSTEMS; SUBJECT;

D O I：

10.1109/TSP.2011.2164403

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper reveals the class of digital filters with all second-order modes equal. We first prove that if the second-order modes of a digital filter are all equal, the L(2-)sensitivity minimization problem of the digital filter can be solved analytically. We derive a general expression of the transfer function of digital filters with all second-order modes equal. Furthermore, we show that the general expression is obtained by a frequency transformation on a first-order prototype FIR digital filter.

引用

页码：5236 / 5242

页数：7

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