Dutta Roy, Suhash Chandra
(1983)
*Optimum passive integrators*
IEE Proceedings - Part G: Electronic Circuits and Systems, 130
(5).
pp. 196-199.
ISSN 0143-7089

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Official URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumb...

Related URL: http://dx.doi.org/10.1049/ip-g-1.1983.0035

## 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.

Item Type: | Article |
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Source: | Copyright of this article belongs to The Institution of Electrical Engineers. |

Keywords: | Inductor Losses; Impulse Response; Transformerless Networks; Passive Integrators; Optimum Approximation; Ideal Integrator; Unbalanced Networks; 2nd-order Approximation; RC Realisability |

ID Code: | 9922 |

Deposited On: | 02 Nov 2010 10:26 |

Last Modified: | 02 Nov 2010 10:26 |

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