SOO-CHANG PEIHuei-Shan LinPeng-Hua Wang2018-09-102018-09-102010-1115498328http://scholars.lib.ntu.edu.tw/handle/123456789/359172https://www.scopus.com/inward/record.uri?eid=2-s2.0-78149467153&doi=10.1109%2fTCSI.2010.2050235&partnerID=40&md5=8c3568143766f5ff5e150b82a79173c1This 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.Butterworth filters; Computation theory; Impulse response; Mathematical transformations; EnestrmKakeya theorem; Fractional delay; Hilbert transform; Infinite impulse response; Maximally flat; IIR filtersjournal article10.1109/TCSI.2010.20502352-s2.0-78149467153WOS:000284088600010