Presentation 2010-05-27
A Design Method of Linear Phase FIR Filters by Successive Projections Method Updating Maximum Allowable Error
Kosuke TERAMOTO, Toma MIYATA, Naoyuki AIKAWA, Yasunori SUGITA, Toshinori YOSHIKAWA,
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Abstract(in English) A applicability of Successive Projections (SP) method is wide. In the previous SP method which is an iterative approximation method, only one extreme frequency point at which the deviation from the given specification is maximized is used in the update of the filter coefficients. We extended to SP method which can update the coefficients by the multiple extreme frequency points using Fritz John's theorem. In this method, the solution is obtained less iteration number than the previous SP method. However, because it is necessary to decide the maximum allowable error experientially, the solution does not converge and the obtained filter does not have equiripple characteristics. In this paper, we present a design method of linear phase FIR filters by SP method updating maximum allowable error. The updating maximum allowable error analytically solves such as remez algorithm. Finally, we confirm the effectiveness of propose method through several examples.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Updating maximum allowable error / Successive projection method / Linear phase FIR filters / Equiripple characteristics, Fritz John's theorem
Paper # EA2010-21,SIP2010-21,SP2010-21
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Conference Information
Committee SIP
Conference Date 2010/5/19(1days)
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Paper Information
Registration To Signal Processing (SIP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Design Method of Linear Phase FIR Filters by Successive Projections Method Updating Maximum Allowable Error
Sub Title (in English)
Keyword(1) Updating maximum allowable error
Keyword(2) Successive projection method
Keyword(3) Linear phase FIR filters
Keyword(4) Equiripple characteristics, Fritz John's theorem
1st Author's Name Kosuke TERAMOTO
1st Author's Affiliation Graduate School of Tokyo University of Scinece()
2nd Author's Name Toma MIYATA
2nd Author's Affiliation Graduate School of Tokyo University of Scinece
3rd Author's Name Naoyuki AIKAWA
3rd Author's Affiliation Graduate School of Tokyo University of Scinece
4th Author's Name Yasunori SUGITA
4th Author's Affiliation Nagaoka University of Technology
5th Author's Name Toshinori YOSHIKAWA
5th Author's Affiliation Nagaoka University of Technology
Date 2010-05-27
Paper # EA2010-21,SIP2010-21,SP2010-21
Volume (vol) vol.110
Number (no) 55
Page pp.pp.-
#Pages 6
Date of Issue