Unified theory of cascade synthesis

Imamura, K.; Scanlan, J.O.; Rhodes, John David

doi:10.1049/piee.1970.0132

Cited by 24 publications

(6 citation statements)

References 3 publications

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“…Moreover, synthesis of passive networks is motivated by passive mechanical control based on the inerter as shown in Section 1. Based on the cascade realization approach, the realization results of a two‐port passive network can contribute to the realizations of one‐port RLC networks , which can be further utilized to design passive mechanisms for more effective mechanical control. As shown in , a passive interconnected suspension system for two wheels can be regarded as a two‐port passive mechanical network, which is analogous to a two‐port passive electrical network.…”

Section: Resultsmentioning

confidence: 99%

Realization of a transfer function as a passive two‐port RC ladder network with a specified gain

Wang

Chen

2017

Circuit Theory & Apps

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Summary This paper is concerned with the realization problem for a class of high‐pass as well as low‐pass transfer functions as a two‐port RC ladder network with a specified gain, which requires that the actual gain of the realization configuration is equal to the gain of the given transfer function. From a cascade realization approach, it is shown that any transfer function belonging to the class under investigation can be realized as a two‐port RC ladder network with any specified gain in a continuous interval. Finally, a numerical example is presented to illustrate the result. Copyright © 2017 John Wiley & Sons, Ltd.

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Section: Resultsmentioning

confidence: 99%

Realization of a transfer function as a passive two‐port RC ladder network with a specified gain

Wang

Chen

2017

Circuit Theory & Apps

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“…4) Implementation techniques: Extraction of elementary sections is classical since Darlington's work on lossless synthesis [26], [29] as well as Youla's on broadband matching [30]. Practically one can use chain matrices in the impedance domain or T-matrices in the scattering setting to simplify chaining operations.…”

Section: (On the Figure From Right To Left This Time)mentioning

confidence: 99%

General Synthesis Method for Dispersively Coupled Resonator Filters With Cascaded Topologies

Zhang

Seyfert

Amari

et al. 2021

IEEE Trans. Microwave Theory Techn.

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“…It is said to be a positive real function of the complex variable p if for all positive real p, real of Z(p) ≥ 0 and Z(p) is analytic in the strict right half-plane [13][14][15]. Now consider the even part of Z(p)…”

Section: High Rejection Dual-band Bandstop Filter Network Prototype Smentioning

confidence: 99%

Highly Selective Lossy Dual-Band Bandstop Filter Synthesis and Design Based on Predistortion Hybrid Dual-Band Elliptic Refection Function

Soeung¹,

Wong²,

Cheab³

2017

PIER Letters

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Abstract-This paper demonstrates a new class of highly selective bandstop filter based on cascading two identical lossy hybrid dual-band bandstop filters of low resonator Q factor. Each filter is synthesized based on multi-stage predistortion reflection mode technique. To demonstrate the approach, 4th order hybrid dual-band elliptic filter network which is a product of elliptic lowpass and highpass network functions has been predistorted and synthesized with low calculated Q factor. The lossy dual-band bandstop filters are fabricated and realized on microstrip planar structure. Both theoretical and experimental results clearly show good agreements with two stopband rejections up to 35 dB for one stage and 50 dB for two stages with passband loss of more than 10 dB.

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Unified theory of cascade synthesis

Cited by 24 publications

References 3 publications

Realization of a transfer function as a passive two‐port RC ladder network with a specified gain

Realization of a transfer function as a passive two‐port RC ladder network with a specified gain

General Synthesis Method for Dispersively Coupled Resonator Filters With Cascaded Topologies

Highly Selective Lossy Dual-Band Bandstop Filter Synthesis and Design Based on Predistortion Hybrid Dual-Band Elliptic Refection Function

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