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.
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页码：5236 / 5242
页数：7
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