S-Parameters for Signal Integrity

Pupalaikis, Peter J.

doi:10.1017/9781108784863

Cited by 21 publications

(17 citation statements)

References 24 publications

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“…The standard algorithm calls for the use of the Transfer Scattering Parameters or T-parameters. 24,25 The T-parameters are closely related to the S-parameters: they set the relationships between the wave amplitude a 1 and b 1 of the input port with the wave amplitude a 2 and b 2 of the output port. The standard algorithm requires multiple steps that can be summarized as follows:…”

Section: Single-step Algorithm For Cascade Assembly Of Multiple 2-por...mentioning

confidence: 99%

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Single‐step algorithm for the cascade assembly of multiple S‐parameters based multiports networks

Paulis

Scafati

Olivieri

et al. 2022

Int J RF Mic Comp-Aid Eng

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The complexity of electronic systems for RF and digital applications is ever increasing, and the corresponding compliance analysis for ensuring the required specifications in terms of performances, signal and power integrity is a challenging task often accomplished by relying on commercial circuit simulators. The modeling of multiport devices involves the assembly of electrical networks usually described in terms of S-parameter. This work proposes a new single-step algorithm that computes the global S-parameter matrix for a cascade of multiple networks with multiple ports without the need of any S-parameter transformation in T-parameters and their inverse transformation. The proposed method involves the construction of a large matrix filled with all S-parameters of all networks, and the subsequent evaluation of only one matrix expression. The proposed method is shown to be very efficient and reliable, since it can be easily automated without the need of a manual connections of tens or even hundreds of ports of the multiple blocks, which is an action that needs to be performed within a typical circuit simulator environment. Also, the proposed method overcomes the limitation of the standard method based on S-to-T parameter transformation since it is of general applicability to networks with different number of input and output ports. Examples involving the cascade of multiple 2-ports and multiports networks are considered, and the results are validated and compared with the reference results obtained from a commercial circuit simulator. The proposed method is shown to be effective and fast compared to its counterpart based on the T-parameters.

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Section: Single-step Algorithm For Cascade Assembly Of Multiple 2-por...mentioning

confidence: 99%

“…1. transformation of the S-parameter matrix of each network (S 1 and S 2 ) into T-parameters matrices (T 1 and T 2 ) by means of the proper transformation formulas 24,25 ; 2. cascade assembling of the two T-parameter matrices in the global T matrix T m as…”

Section: Single-step Algorithm For Cascade Assembly Of Multiple 2-por...mentioning

confidence: 99%

Single‐step algorithm for the cascade assembly of multiple S‐parameters based multiports networks

Paulis

Scafati

Olivieri

et al. 2022

Int J RF Mic Comp-Aid Eng

View full text Add to dashboard Cite

show abstract

“…The advantage of the proposed method is twofold; it is very easy to be implemented since it relies on the implementation of the one single matrix expression; this would limit the use of expensive commercial simulators that may have available the de-embedding option, although the generalized multiport case has been only recently fully developed. 19,20 The second one is that the proposed method is demonstrated to be quicker than the standard method based on S-T parameter conversion for large number of ports. Since the trend of the electronic industry goes toward the development of more complex multiport devices, and the need to fully characterize them, that is, for crosstalk reasons, 20 the advantage of an easy-to-implement and fast de-embedding methodology is effectively appealing.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Usually, the well-known de-embedding process is based at least on three main conceptual steps: first, the conversion of the S-parameters into the T-parameters 19 ; the second one involves the algebraic manipulation and inversion of the T-parameter matrices; whereas the third step consists of the final T-to-S parameter transformation. It should be noted that the implementation of the S-to-T and T-to-S parameter conversions are rather complex, especially for the multiport case, 19,20 since they require a deep comprehension of the analytical derivation of the generalized S-to-T relationships, and the implementation of several matrix expressions compared to the final single matrix relationship derived in this article.…”

Section: Introductionmentioning

confidence: 99%

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Generalized analytical formulation for de‐embedding of multiport devices based on known fixtures

Scafati

Paulis

Olivieri

et al. 2022

Int J RF Mic Comp-Aid Eng

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The de-embedding is a technique used in radio frequency and signal integrity measurements to extract the scattering (S)-parameters of the device under test (DUT) from the measured data of a global assembly and based on known S-parameters of the left and right test fixtures; thus, it removes the impact of the text fixtures used for the connection of the DUT to the instrumentation. Once the S-parameters are measured, the de-embedding is performed by a multistep approach involving the bidirectional transformation of the S-parameters into the corresponding transfer scattering (T)-parameters. The latter approach is well established for two-and four-port networks and has been recently expanded to the multiport case. This work proposes an alternative analytical formulation to de-embed a multiport device, knowing in advance only the S-parameters of the global multiport assembly and those of the test fixtures. The proposed method does not involve the S-to-T conversion and it requires only the algebraic manipulation of the S-parameter matrix elements; its practical implementation is very well fitted especially for multiport cases, and it is very fast in calculating the de-embedded DUT S-parameters for large port numbers. The results of the proposed formulation, applied to the case of a multipin high-speed connector, are compared with those obtained by measurement and simulations.Their accuracy is shown and discussed to demonstrate the validity of the proposed approach.

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Design and Fabrication of a Patch Antenna for Underwater Communications

Amit

Vijay²

2022

Wireless Pers Commun

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S-Parameters for Signal Integrity

Cited by 21 publications

References 24 publications

Single‐step algorithm for the cascade assembly of multiple S‐parameters based multiports networks

Single‐step algorithm for the cascade assembly of multiple S‐parameters based multiports networks

Generalized analytical formulation for de‐embedding of multiport devices based on known fixtures

Design and Fabrication of a Patch Antenna for Underwater Communications

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