Presentation 2012-11-01
Analytical Approaches for Synthesis of High Accuracy Digital Filter Structures
Shunsuke YAMAKI,
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Abstract(in English) This paper proposes analytical approaches for synthesis of the minimum L_2-sensitivity realization, one of the high accuracy digital filter structures. First, we prove that the minimum L_2-sensitivity realization of a second-order digital filter can be synthesized analytically by solving a fourth-degree polynomial equation of constant coefficients. Next, we show that the minimum L_2-sensitivity realization of an Nth-order digital filter can be synthesized analytically if its all second-order modes are equal. Furthermore, we derive a general expression of the transfer functions of Nth-order digital filters with all second-order modes equal. We show that the general expression is obtained by a frequency transformation on a first-order prototype FIR digital filter.
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Keyword(in English) state-space digital filters / the minimum L_2-sensitivity realization / analytical approaches / second-order modes / frequency transformation
Paper # CAS2012-56,MSS2012-36
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Conference Date 2012/10/25(1days)
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Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Analytical Approaches for Synthesis of High Accuracy Digital Filter Structures
Sub Title (in English)
Keyword(1) state-space digital filters
Keyword(2) the minimum L_2-sensitivity realization
Keyword(3) analytical approaches
Keyword(4) second-order modes
Keyword(5) frequency transformation
1st Author's Name Shunsuke YAMAKI
1st Author's Affiliation Department of Electronic Engineering, Graduate School of Engineering, Tohoku University()
Date 2012-11-01
Paper # CAS2012-56,MSS2012-36
Volume (vol) vol.112
Number (no) 274
Page pp.pp.-
#Pages 6
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