Lossy coupling matrix filter synthesis based on hyperbolic reflections

Müller, Andres; Moldoveanu, Alin; Asavei, Victor; Codesal, Esther Sanabria; Favennec, Jean-François

doi:10.1109/mwsym.2016.7540243

Cited by 4 publications

(11 citation statements)

References 9 publications

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“…Notably, the C i,σ (jω) do not coincide with either a mere predistortion applied to the polynomials eqs. ( 4) and (7) or their evaluation along s = σ + jω. The resulting expressions are in fact no longer polynomials in a single complex variable: conditions C i,σ (jω) are made by terms in the formf (s)f * (s) evaluated along jω withf (s) any of the σ-predistorted polynomials.…”

Section: B Bivariate Polynomials Approachmentioning

confidence: 99%

Passivity and Maximum Quality Factor Assessment in Lossy 2-Port Transfer Functions

Oldoni¹,

Seyfert

Mejillones

et al. 2022

IEEE Trans. Circuits Syst. II

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Lossy transfer functions are appealing in the design of filters and electric networks, as they can be exactly implemented by physical passive components. However, lossy techniques relax most of the constraints governing the design and thus offer many degrees of freedom but with unclear effects on realizability. This work describes first an analytical method to check whether a given 2-port matrix transfer function is passive. Moreover, for comparison purposes, a technique to assess the maximum allowed predistortion is proposed, related to the highest required quality factor.

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Section: B Bivariate Polynomials Approachmentioning

confidence: 99%

Passivity and Maximum Quality Factor Assessment in Lossy 2-Port Transfer Functions

Oldoni¹,

Seyfert

Mejillones

et al. 2022

IEEE Trans. Circuits Syst. II

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“…The coupling matrix synthesis and matrix rotation approach can be easily utilized once the characteristic polynomials of the filter have been identified. It is worth mentioning that one can also use reflection matrices for the similarity transformations to achieve the desired topology [10,11].…”

Section: Scope Motivations and Aimsmentioning

confidence: 99%

On the Design and Fabrication of Chained-Function Waveguide Filters With Reduced Fabrication Sensitivity Using CNC and DMLS

Lim¹,

Cheab²,

Soeung³

et al. 2020

PIER B

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In this paper, we present the design and fabrication of a novel class of emerging waveguide filters based on chained-functions at the millimeter-wave band. The derivation of chained-functions by chaining of prescribed generalized Chebyshev seed functions based on the partition theory is presented in details, and the implementation to waveguide technology is proposed and evaluated. The waveguide filter is fabricated through two different technologies, namely the Computer Numerical Control (CNC) milling technology and the Direct Metal Laser Sintering (DMLS) based additive manufacturing technology. The chained-function filters, which lie in between the Butterworth and Chebyshev filters, inherit the salient properties of both Butterworth and Chebyshev filters. Therefore, the chained-function waveguide filter exhibits filtering responses that have a superior rejection property and a lower loss with reduced sensitivity to fabrication tolerance than the standard Chebyshev waveguide filter. The efficiency of the proposed waveguide filter is confirmed both theoretically and empirically, using the CNC and DMLS processes. The issues of a higher manufacturing tolerance and apparent surface roughness associated with the DMLS method are found to be electrically insignificant when the chained-function concept is adopted in waveguide filter design. In general, the measured results of all the realized waveguide filters agree well to those of the simulation models. These results positively demonstrate that the chainedfunction concept has robust properties for rapid, high-performance, low-cost, and sustainable filter design and implementation, particularly for higher millimeter-wave frequency bands and for narrowband applications.

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“…The flatness of group delay across the operating bandwidth of a filter [26], [27] is an important design requirement for many applications. On a conventional Cartesian plot of τ (ω), target masks are normally introduced to indicate its minimum and maximum allowable values, as seen in Fig.…”

Section: B Equalization Of Transmission Response Group Delaymentioning

confidence: 99%

Extended Capabilities of the 3-D Smith Chart With Group Delay and Resonator Quality Factor

Müller¹,

Codesal²,

Moldoveanu

et al. 2017

IEEE Trans. Microwave Theory Techn.

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Abstract-This paper extends the capabilities of the 3-D Smith chart for representing positive and negative differential-phase group delay and the associated loaded resonator quality factor, displayed simultaneously with scattering (S)-parameters. Here, mathematical concepts, inspired from elementary differential geometry and topology, are used to implement 3-D projections. It is shown that a condition for a circuit to exploit negative differential-phase group delay is that its S-parameter winding number should be ≥ 0 (relative to its origin). Finally, exemplar network responses that exhibit both positive and negative differential-phase group delay and loaded resonator quality factor are shown with the 3-D Smith chart. The convenience of being able to simultaneously display a wider range of parameters on one visualization platform, with the 3-D Smith chart, may help to speed-up the design and analysis of microwave circuits by the user.Index Terms-Computer-aided design (CAD), differentialphase group delay, negative group delay (NGD), non-Foster, quality factor, Smith chart.

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Lossy coupling matrix filter synthesis based on hyperbolic reflections

Cited by 4 publications

References 9 publications

Passivity and Maximum Quality Factor Assessment in Lossy 2-Port Transfer Functions

Passivity and Maximum Quality Factor Assessment in Lossy 2-Port Transfer Functions

On the Design and Fabrication of Chained-Function Waveguide Filters With Reduced Fabrication Sensitivity Using CNC and DMLS

Extended Capabilities of the 3-D Smith Chart With Group Delay and Resonator Quality Factor

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