https://scholars.lib.ntu.edu.tw/handle/123456789/359172
Title: | Closed-Form Design of Maximally Flat IIR Hilbert Transformer with Integer Delay | Authors: | SOO-CHANG PEI Huei-Shan Lin Peng-Hua Wang |
Issue Date: | Nov-2010 | Journal Volume: | 57 | Journal Issue: | 11 | Start page/Pages: | 2925-2937 | Source: | IEEE Transactions on Circuits and Systems Part I: Regular Papers | Abstract: | This paper presents the closed-form designs of an infinite-impulse-response (IIR) Hilbert transformer with an integer delay. The maximally flat criterion is applied at the midband frequency π/2. These designs are further categorized into eight types according to the filter orders and the delay values being even or odd. Their coefficients can be explicitly solved in closed form. A recursive relation also exists, facilitating the computation of these coefficients. Moreover, under the suggested relations and formula for the design parameters based on the EnestrmKakeya theorem, we can obtain a satisfactory stable IIR Hilbert transformer. © 2006 IEEE. |
URI: | http://scholars.lib.ntu.edu.tw/handle/123456789/359172 https://www.scopus.com/inward/record.uri?eid=2-s2.0-78149467153&doi=10.1109%2fTCSI.2010.2050235&partnerID=40&md5=8c3568143766f5ff5e150b82a79173c1 |
ISSN: | 15498328 | DOI: | 10.1109/TCSI.2010.2050235 | SDG/Keyword: | Butterworth filters; Computation theory; Impulse response; Mathematical transformations; EnestrmKakeya theorem; Fractional delay; Hilbert transform; Infinite impulse response; Maximally flat; IIR filters |
Appears in Collections: | 電機工程學系 |
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