Broad-band impedance matching of the RLC generator and load

✍ Scribed by Qiang-Zhong Zha; Wai-Kai Chen

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 966 KB
• Volume: 328
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(91)90037-4

✦ Synopsis

This paper presents a simple theory for the design of a broad-band impedance matching network which, when operating between a given RLC generator z,(s) and an RLC load z*(s), yields a Chebyshev low-pass or band-pass response. Using Chien's realizability conditions of double frequency-dependent terminations, we present a new theorem which states that tf there exists a second-order all-pass function such that the resulting reflection coeficients are bounded-real and satstfy Youla's conditions at each zero of transmission of z,(s) and z*(s), a ladder equalizer exists. A method to realize such a ladder is described. After choosing the order n of the transfer function not smaller than the total number of the energy storage elements of z,(s) and z2(s), the result can easily be extended to any all-pole low-pass response for any non-Foster positive-real impedances z,(s) and zZ(s) except for the case where z,(s) and z2(s) have a commonfinite zero on the jo-axis.