Abstract
A general nth-order transfer function (TF) is derived, whose time-domain response approximates that of an integrator in an optimal manner, optimality being defined by maximal flatness of impulse response at t = 0+. It is shown that transformerless, passive, unbalanced realisability is guaranteed for n < 3, but for n > 3, the TF is unstable. For n = 3, the TF violates a passive realisability constraint; near optimum results can, however, be obtained, in this case only, by a small perturbation of the pole locations. Optimum transfer functions are also derived for the additional constraint of inductorless realisability. In this case, it is shown that TFs with n ≥ 2 are not realisable. For all n, however, near optimum results can be achieved by small perturbations of the pole locations; this is illustrated in the paper for n = 2. Network realisations are given for the following cases: n = 2, optimal, RLC; n = 3, suboptimal, RLC; and n = 2, suboptimal, RC.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: IEE Proceedings G (Electronic Circuits and Systems)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
