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access icon free Canonical transfer function of band-pass NGD circuit

  • Author(s): Fayu Wan 1 ; Lei Wang 1 ; Qizheng Ji 2 ; Blaise Ravelo 3
    • View affiliations
  • Source: Volume 13, Issue 2, March 2019, p. 125 – 130
    DOI:  10.1049/iet-cds.2018.5214 , Print ISSN 1751-858X, Online ISSN 1751-8598
© The Institution of Engineering and Technology
Received 23/11/2017, Accepted 04/06/2018, Revised 18/05/2018, Published 30/07/2018

This study introduces the generalised canonical transfer function (TF) of the band-pass negative group delay (NGD) circuit. The principle to identify the unfamiliar band-pass NGD circuits is suggested. Similar to the filter theory, the band-pass NGD TF can be established from low-pass to band-pass frequency transform. The fundamental characteristics of the NGD topology are described. The canonical TF feasibility is concretised with the second-order equivalent impedance constituted by passive elements. The synthesis formulas in function of the desired NGD level and bandwidth are analytically established. Application examples of band-pass NGD impedance synthesis, designed and fabricated are proposed as a proof of concept. Prototypes of band-pass NGD circuits with centre frequencies 1 and 1.5 MHz for the targeted group delay optimal values, respectively, −1 and −1.5 µs are designed and fabricated. As expected, band-pass NGD results in good agreement with the theoretical prediction were obtained with simple lumped circuits. In the future, thanks to theory simplicity, the NGD band-pass cell can be potentially useful for the signal delay correction.

Inspec keywords: frequency-domain analysis; band-pass filters; low-pass filters; transfer functions

Other keywords: band-pass NGD impedance synthesis; generalised canonical transfer function; second-order equivalent impedance; band-pass NGD TF; time -1.0 mus; unfamiliar band-pass NGD circuits; band-pass negative group delay circuit; time -1.5 mus; frequency 1.0 MHz; NGD band-pass cell; frequency 1.5 MHz; passive elements; band-pass NGD results; NGD topology; band-pass frequency transform; canonical TF feasibility; band-pass NGD circuit

Subjects: Mathematical analysis; Filters and other networks

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