Mixed-mode S-parameter conversion for networks with coupled differential signals

Huynh, Allan; Hakansson, P.; Gong, Shaofang

doi:10.1109/eumc.2007.4405170

Cited by 29 publications

(17 citation statements)

References 9 publications

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“…Port 1 and 3 are positive voltage references, port 2 and 4 are negative ones. The conversion between singleended S-parameters and mixed-mode S-parameters, denoted by S mm , for this four-port network is provided by [3]:…”

Section: Single-ended and Mixed-mode S-parametersmentioning

confidence: 99%

“…In 1997 Bockelman continued his work and provided a conversion formula for mixed-mode S-parameters from single-ended Sparameters [2] for the case with no coupling. A lot of research has been done on this topic including theoretical development, conversion from and to single-ended S-parameters, and simulation and measurement comparisons [3], [4], [5], [6], [7]. It is clear from this literature that the coupling between the interconnects plays a critical part in this conversion.…”

Section: Introductionmentioning

confidence: 99%

“…The conversion from single-ended to mixed mode Sparameters when coupling is present was introduced in [3]. It requires inversion of a transformation matrix that depends in turn on S-parameters.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Study of Differential Signaling: Stable and Accurate Mixed-Mode Conversion and Extraction of Differential S-Parameters

Tran

Barannyk

Elshabini

et al. 2015

2015 IEEE Workshop on Microelectronics and Electron Devices (WMED)

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Low voltage differential signaling (LVDS) in highspeed digital systems is utilized to effectively reduce EMI and improve signal quality. Mixed-mode S-parameters are a more general way to characterize a differential network. Therefore, an accurate extraction of mixed-mode S-parameters from singleended S-parameters is critical for Signal and Power Integrity co-simulation where SSN is generated mainly by high-frequency interconnects. The standard conversion between mixed-mode and single-ended S-parameters involves inversion of a transformation matrix. If there is no coupling, this transformation matrix is orthogonal and numerical inversion can be done accurately. In the presence of coupling, the transformation matrix depends on S-parameters and may become ill-conditioned, i.e. has high condition number, for some values of physical parameters resulting in unstable inversion of the transformation matrix and leading to highly inaccurate converted mixed-mode S-parameters. To analyze the possibility of ill-conditioning, we consider two cases: broadside coupled striplines and coupled microstrip pairs. We find that in both cases when two transmission lines are strongly coupled, the condition number becomes very large. In this case, regularized methods from the theory of ill-posed problems should be used, for example, the truncated SVD method, to obtain accurate mixed-mode S-parameters. Index Terms-differential S-parameters; S-parameters; signal integrity; conversion matrix; accurate conversion; condition number 978-1-4799-7380-4/15/$31.00 ©2015 IEEE

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Section: Single-ended and Mixed-mode S-parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Study of Differential Signaling: Stable and Accurate Mixed-Mode Conversion and Extraction of Differential S-Parameters

Tran

Barannyk

Elshabini

et al. 2015

2015 IEEE Workshop on Microelectronics and Electron Devices (WMED)

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“…Although this conversion method is widely used today, the weakness of the conversion method has been noticed by people working in the area (Vaz & Caggiano, 2004). Based on this observation, two new parameters k oo and k oe depending on the coupling between the transmission lines are introduced (Huynh et al, 2007). By this extension, the effect of differential-and common-mode impedances are included in the conversion.…”

Section: Single-ended To Mixed-mode Conversionmentioning

confidence: 99%

Mixed-Mode S-Parameters and Conversion Techniques

Huynh¹,

Karlsson²,

Gong³

2010

Advanced Microwave Circuits and Systems

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“…A scheme was introduced to convert single ended S parameters to mixed mode S parameters by introducing two constants Koo and Koe that depend on the amount of coupling between the lines [6]:…”

Section: Conversion Of Single Mode S Parameters To Mixed Mode S mentioning

confidence: 99%

A Review on Differential Lines and Its Study Based On Differential S Parameters

Lohana¹

2013

IOSR-JECE

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:In this paper a brief review of differential signalling is given and it is studied why using single ended standard S parameters does not give us a complete understanding of a Differential line and thus comes a new mixed mode S parameters that helps us understand the common mode to differential mode conversion and vice versa, in a simplified manner. Also conversion method from single ended S parameters to Approximate and TrueMixed mode S parameters is studied in brief and derived.

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Mixed-mode S-parameter conversion for networks with coupled differential signals

Cited by 29 publications

References 9 publications

A Study of Differential Signaling: Stable and Accurate Mixed-Mode Conversion and Extraction of Differential S-Parameters

A Study of Differential Signaling: Stable and Accurate Mixed-Mode Conversion and Extraction of Differential S-Parameters

Mixed-Mode S-Parameters and Conversion Techniques

A Review on Differential Lines and Its Study Based On Differential S Parameters

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