Mixed-Mode S-Parameters and Conversion Techniques

Huynh, Allan; Karlsson, Magnus; Gong, Shaofang

doi:10.5772/8419

Cited by 17 publications

(12 citation statements)

References 6 publications

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“…Thus, the correspondence between the

{boldB}^{M {normalM}_{normalr}}

of this work and

{boldM}_{normals}

of Reference 14 is given as follows,

\begin{matrix} {(B^{normalM M_{r}})}^{†} goodbreak= M_{s} goodbreak= \frac{1}{\sqrt{2}} ([], \begin{matrix} 1 & goodbreak- 1 & 0 & 0 \\ 0 & 0 & 1 & goodbreak- 1 \\ 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 \end{matrix}) \end{matrix}

\begin{matrix} B^{normalM M_{r}} goodbreak= M_{s}^{bold- 1} boldgoodbreak= \frac{1}{\sqrt{2}} ([], \begin{matrix} 1 & 0 & 1 & 0 \\ goodbreak- 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 \\ 0 & goodbreak- 1 & 0 & 1 \end{matrix}) . \end{matrix}

As can be seen, the proposed method is compatible with the standard mixed‐mode S ‐parameters case. Besides, other mixed‐mode cases investigated in previous work, such as M pairs of mixed‐mode plus N single‐ended ports 3 and others, 1,4,21 could also be easily derived with similar procedures.…”

Section: Applications Of Generalized Multimode S‐parameters: Mixed‐mo...mentioning

confidence: 97%

“…As can be seen, the proposed method is compatible with the standard mixed-mode S-parameters case. Besides, other mixed-mode cases investigated in previous work, such as M pairs of mixed-mode plus N single-ended ports 3 and others, 1,4,21 could also be easily derived with similar procedures. (A) SRF LHCP antenna (top view), (B) 4-singleended-port LHCP radiator (perspective view) and its generalized multimode representation, (C) 1-to-4 feeding network (top view) and its generalized multimode representation.…”

Section: ð22-2þmentioning

confidence: 99%

“…The mixed-mode S-parameters regard two single-ended ports of the same type as one mixed-mode port supporting two orthonormal modes, that is, common and differential modes. 1 Since their introduction by Bockelman and Eisenstadt in 1995, 2 a series of works have been done to complete the mixed-mode S-parameters theory. 3,4 The mixedmode S-parameters significantly simplify various differential antennas, components, circuits, and integrated circuit (IC) designs than the traditional single-ended S-parameters.…”

Section: Introductionmentioning

confidence: 99%

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Generalized multimode scattering parameters and the applications in antenna and radio frequency component designs

Liao

Che

et al. 2022

Int J RF Mic Comp-Aid Eng

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This article applies the generalized multimode S-parameters to multiport antennas and radio frequency (RF) components for CAD applications. Consider the special case of impedance matching which could significantly simplify the multimode representation on port and remove the requirement on calculating port impedance. N single-ended ports of a network are regarded as one generalized multimode port, supporting N orthonormal modes represented by N orthonormal basis vectors, respectively. By doing this, in antenna and RF component designs, one can only focus on specific modes interested, while ignore others. A multiport network's characteristics could be represented and understood in a much simpler manner because fewer but more intuitive physical quantities are considered. Therefore, this can significantly simplify the analysis, design, and optimization of multiport networks. For better illustration, several examples, including branch-line coupler, mixed-mode case, sequential rotation feeding antenna, and monopulse feed are analyzed and designed. Complicated analyses in network design using the single-ended S-parameters, including matching, amplitude and phase unbalance, could be converted into much simpler ones from the generalized multimode perspective.

show abstract

“…Thus, the correspondence between the

{boldB}^{M {normalM}_{normalr}}

of this work and

{boldM}_{normals}

of Reference 14 is given as follows,

\begin{matrix} {(B^{normalM M_{r}})}^{†} goodbreak= M_{s} goodbreak= \frac{1}{\sqrt{2}} ([], \begin{matrix} 1 & goodbreak- 1 & 0 & 0 \\ 0 & 0 & 1 & goodbreak- 1 \\ 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 \end{matrix}) \end{matrix}

\begin{matrix} B^{normalM M_{r}} goodbreak= M_{s}^{bold- 1} boldgoodbreak= \frac{1}{\sqrt{2}} ([], \begin{matrix} 1 & 0 & 1 & 0 \\ goodbreak- 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 \\ 0 & goodbreak- 1 & 0 & 1 \end{matrix}) . \end{matrix}

Section: Applications Of Generalized Multimode S‐parameters: Mixed‐mo...mentioning

confidence: 97%

Section: ð22-2þmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Generalized multimode scattering parameters and the applications in antenna and radio frequency component designs

Liao

Che

et al. 2022

Int J RF Mic Comp-Aid Eng

View full text Add to dashboard Cite

show abstract

“…Therefore, the modal domain solution of the transmission line equations is shown in Fig. 9, where 𝑎 c𝑖 / 𝑏 c𝑖 and 𝑎 d𝑖 / 𝑏 d𝑖 are the modal incident/ reflected waves at port 𝑖 for the CM and DM signals, respectively, and they are defined as [33]- [34] [31]- [32]. It means that the input and output terminals should be considered well-balanced, where DM and CM excitations are considered separately to investigate LCL and TCL conversions, respectively.…”

Section: B Modal Domain Formulationmentioning

confidence: 99%

“…The mixed-mode S-parameters can be obtained from (46a)-(46d) by using the definition given in [33]- [34], hence…”

Section: Mixed-mode S-parametersmentioning

confidence: 99%

Accurate Formulation of the Skin and Proximity Effects in High-Speed Cable System

et al. 2022

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An efficient transmission line model of high-speed cables is established, to predict its response at a high-frequency region (up to 20 GHz). Especially, an appropriate conformal mapping technique is applied to formulate the per-unit-length parameters of high-speed cables. Moreover, the skin and proximity effects of the conducting wires and the outer shield are derived in the closed form. As a result, the AC resistance/ inductance of all the conducting materials due to the skin and proximity effects are accurately incorporated for both layered and unlayered conductors. Furthermore, the mixed-mode S-parameters are precisely predicted for both balanced and unbalanced transmission line cables in the high-frequency region. In addition, the effects of the nonuniformities and cable geometry deformation on the mode conversions are also investigated. The proposed model is firstly validated with commercial software tools, COMSOL, FEKO, and HFSS; then, we further performed physical measurements to verify our new algorithm.INDEX TERMS High-speed cable, transmission line model, mixed-mode S-parameters, common-mode (CM), differential-mode (DM), shielding, fixtures, skin effect, proximity effect.

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Electrical Design for 5G Hardware—Digital Focus

Hwang¹,

Horng²

2018

3D IC and RF SiPs

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Mixed-Mode S-Parameters and Conversion Techniques

Cited by 17 publications

References 6 publications

Generalized multimode scattering parameters and the applications in antenna and radio frequency component designs

Generalized multimode scattering parameters and the applications in antenna and radio frequency component designs

Accurate Formulation of the Skin and Proximity Effects in High-Speed Cable System

Electrical Design for 5G Hardware—Digital Focus

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