https://scholars.lib.ntu.edu.tw/handle/123456789/499008
標題: | 2-D laguerre distributed approximating functional: A circular low-pass/band-pass filter | 作者: | SOO-CHANG PEI Huang, S.-G. |
關鍵字: | Bandpass filters; Polynomials; 2D filters; Closed-form expression; Functionals; Hermite polynomials; Laguerre polynomial; Three parameters; Two parameter; Two-dimension; Low pass filters | 公開日期: | 2019 | 卷: | 66 | 期: | 5 | 起(迄)頁: | 818-822 | 來源出版物: | IEEE Transactions on Circuits and Systems II: Express Briefs | 摘要: | The two-parameter family of Hermite distributed approximating functionals (HDAFs) is able to converge to the ideal low-pass filters. In this brief, we extend the concept of the HDAFs to two dimensions to develop the three-parameter family of 2-D Laguerre distributed approximating functionals (LDAFs). With the third parameter, the 2-D LDAFs can be used as either circular low-pass filters or band-pass filters. We show that the 2-D LDAF filters can converge to the ideal circular low-pass/band-pass filters. We develop two digitalization methods to compute the 2-D digital LDAF low-pass/band-pass filters from the closed-form expressions of the 2-D LDAFs without performing any optimization. © 2004-2012 IEEE. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/499008 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85065415234&doi=10.1109%2fTCSII.2019.2909965&partnerID=40&md5=be5af18c522cd1eff459d208cd6d6785 |
ISSN: | 15497747 | DOI: | 10.1109/TCSII.2019.2909965 | SDG/關鍵字: | Bandpass filters; Polynomials; 2D filters; Closed-form expression; Functionals; Hermite polynomials; Laguerre polynomial; Three parameters; Two parameter; Two-dimension; Low pass filters |
顯示於: | 電機工程學系 |
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