Presentation 2011-09-22
Transfer Functions of Digital Filters with All Second-Order Modes Equal
Shunsuke YAMAKI, Masahide ABE, Masayuki KAWAMATA,
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Abstract(in English) Second-order modes play quite important roles in synthesis of high-accuracy digital filter structures, widely used for describing roundoff error, coefficient quantization error, and L_2-sensitivity. This paper derives the general expression of the transfer function of digital filters with all second-order modes equal. For digital filters with all second-order modes equal, the minimum L_2-sensitivity realization of equal to the balanced realization. Furthermore, we show that the general expression is obtained by a frequency transformation on a first-order prototype FIR digital filter. Digital filters with all second-order modes equal includes various types of digital filters; first-order digital filters, all-pass digital filtes, multi-notch comb filters, and so forth.
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Keyword(in English) Second-Order Modes / Digital Filters / Minimum L_2-sensitivity realization / Frequency Transformations
Paper # SIS2011-35
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Committee SIS
Conference Date 2011/9/14(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Transfer Functions of Digital Filters with All Second-Order Modes Equal
Sub Title (in English)
Keyword(1) Second-Order Modes
Keyword(2) Digital Filters
Keyword(3) Minimum L_2-sensitivity realization
Keyword(4) Frequency Transformations
1st Author's Name Shunsuke YAMAKI
1st Author's Affiliation Department of Electronic Engineering, Graduate School of Engineering, Tohoku University()
2nd Author's Name Masahide ABE
2nd Author's Affiliation Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
3rd Author's Name Masayuki KAWAMATA
3rd Author's Affiliation Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
Date 2011-09-22
Paper # SIS2011-35
Volume (vol) vol.111
Number (no) 210
Page pp.pp.-
#Pages 6
Date of Issue