| Presentation | 2017-01-20 Band-pass Maximally Flat FIR Fractional Order Differentiators with Stopband Based on Minimization of $L_p$ Norm Ryosuke Kunii, Takashi Yoshida, Naoyuki Aikawa, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we propose a design method for a band-pass maximally flat FIR fractional order differentiators (FODs) with stopbands obtained by minimizing the $L_p$ norm in the stopband. FODs are digital signal processing systems for calculating the time/space fractional order derivative of an input signal. The proposed transfer function is composed of two functions, one with flat characteristics in the passband and one that ensures the transfer function has $L_p$ approximated characteristics in the stopband. The proposed FODs can differentiate the input signal without distortion in the passband because of flat magnitude and group delay responses. The characteristics of stopbands designed by minimizing the $L_p$ norm can be used to control the relationship between the steepness in the transition band and the ripple scale. In the optimization of the function, Newton's method is employed. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Fractional order differentiator / maximally flat / $L_p$ norm |
| Paper # | IT2016-92,SIP2016-130,RCS2016-282 |
| Date of Issue | 2017-01-12 (IT, SIP, RCS) |
| Conference Information | |
| Committee | IT / SIP / RCS |
|---|---|
| Conference Date | 2017/1/19(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Osaka City Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Signal Processing for Wireless Communications, Learning, Mathematical Science, Communication Theory, etc. |
| Chair | Masayoshi Ohashi(Fukuoka Univ.) / Makoto Nakashizuka(Chiba Inst. of Tech.) / Hidekazu Murata(Kyoto Univ.) |
| Vice Chair | Jun Muramatsu(NTT) / Masahiro Okuda(Univ. of Kitakyushu) / Shogo Muramatsu(Niigata Univ.) / Satoshi Denno(Okayama Univ.) / Yukitoshi Sanada(Keio Univ.) / Eisuke Fukuda(Fujitsu Labs.) |
| Secretary | Jun Muramatsu(Wakayama Univ.) / Masahiro Okuda(Yokohama College of Commerce) / Shogo Muramatsu(Ritsumeikan Univ.) / Satoshi Denno(Chiba Inst. of Tech.) / Yukitoshi Sanada(Toshiba) / Eisuke Fukuda(NTT DoCoMo) |
| Assistant | Mitsugu Iwamoto(Univ. of Electro-Comm.) / Osamu Watanabe(Takushoku Univ.) / Tetsuya Yamamoto(Panasonic) / Toshihiko Nishimura(Hokkaido Univ.) / Koichi Ishihara(NTT) / Kazushi Muraoka(NEC) / Shinsuke Ibi(Osaka Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory / Technical Committee on Signal Processing / Technical Committee on Radio Communication Systems |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Band-pass Maximally Flat FIR Fractional Order Differentiators with Stopband Based on Minimization of $L_p$ Norm |
| Sub Title (in English) | * |
| Keyword(1) | Fractional order differentiator |
| Keyword(2) | maximally flat |
| Keyword(3) | $L_p$ norm |
| 1st Author's Name | Ryosuke Kunii |
| 1st Author's Affiliation | Tokyo University of Science(TUS) |
| 2nd Author's Name | Takashi Yoshida |
| 2nd Author's Affiliation | Tokyo University of Science(TUS) |
| 3rd Author's Name | Naoyuki Aikawa |
| 3rd Author's Affiliation | Tokyo University of Science(TUS) |
| Date | 2017-01-20 |
| Paper # | IT2016-92,SIP2016-130,RCS2016-282 |
| Volume (vol) | vol.116 |
| Number (no) | IT-394,SIP-395,RCS-396 |
| Page | pp.pp.267-271(IT), pp.267-271(SIP), pp.267-271(RCS), |
| #Pages | 5 |
| Date of Issue | 2017-01-12 (IT, SIP, RCS) |