Extrapolation of a Truncated Spectrum With Hilbert Transform for Obtaining Causal Impulse Responses

Becerra, Juan; Vega, Félix; Rachidi, Farhad

doi:10.1109/temc.2016.2613044

Cited by 13 publications

(19 citation statements)

References 14 publications

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“…In addition, f is located at 1250 Hz when γ is around 41. It can be seen that the critical value of γ (i.e., 41) is larger than that of β (i.e., 26), which indicates that the influence of g 03 (s) on the firstorder fitting result significantly increases even if it approaches a little closer to f u , thus verifying the effectiveness of the proposed sensitivity index in (14).…”

Section: A Coexistence Of Two Out-of-band Modesmentioning

confidence: 78%

“…As β increases, ζ p (p 3 , r 3 ) increases according to (14), which leads to that ω approaches ω 03 . Fig.…”

Section: A Coexistence Of Two Out-of-band Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The extrapolations based on only the in-band frequency responses (IBFRs) were explored in [14]- [17]. Low-frequency IBFRs of S-parameters were extrapolated in [14], [15] using the Hilbert transform in order to obtain virtual high-frequency OBFRs such that the causality of the corresponding impulse response of the low-frequency IBFRs was ensured. Furthermore, middle-frequency IBFRs of S-parameters were extrapolated in [16] using the Kramers-Kronig relation in order to obtain both virtual low-and high-frequency OBFRs such that the delay causality of the corresponding time responses of the middle-frequency IBFRs was ensured.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, middle-frequency IBFRs of S-parameters were extrapolated in [16] using the Kramers-Kronig relation in order to obtain both virtual low-and high-frequency OBFRs such that the delay causality of the corresponding time responses of the middle-frequency IBFRs was ensured. Similar with the outof-band passivity enforcement in [7], [8], the extrapolations in [14]- [16] cannot guarantee the capture of the out-of-band modes. It was found in [1] that out-of-band modes made little influence on the in-band fitting accuracy.…”

Section: Introductionmentioning

confidence: 99%

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Insight into Frequency-Domain Extrapolations of Least-Squares-Based Curve Fitting Algorithms

Zhou

Beerten

2021

IECON 2021 – 47th Annual Conference of the IEEE Industrial Electronics Society

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Many efforts have been made in order to identify state-space models of the black-box devices from their terminal admittance/impedance frequency responses. However, the band of the available admittance/impedance frequency responses is sometimes relatively narrow, from which some out-of-band critical modes of interest can thus not be intuitively observed. In order to overcome this limitation, the vector fitting (VF) algorithm is used in this paper to identify some out-of-band critical modes of an artificially created rational function. On its basis, the sensitivity index which depicts the effect of the partial fraction term on the in-band fitting error is derived in order to explain the VF's extrapolation behavior, and its effectiveness is verified on the cases where out-of-band modes of different numbers coexist.

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Section: A Coexistence Of Two Out-of-band Modesmentioning

confidence: 78%

“…As β increases, ζ p (p 3 , r 3 ) increases according to (14), which leads to that ω approaches ω 03 . Fig.…”

Section: A Coexistence Of Two Out-of-band Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Insight into Frequency-Domain Extrapolations of Least-Squares-Based Curve Fitting Algorithms

Zhou

Beerten

2021

IECON 2021 – 47th Annual Conference of the IEEE Industrial Electronics Society

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show abstract

Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting

Ullrick,

Spina,

Bogaerts

et al. 2023

Sci Rep

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A novel wideband parametric baseband macromodeling technique for passive photonic devices and circuits is presented. It allows to efficiently estimate the baseband scattering representations of a linear, passive photonic system as a function of a set of design variables, such as geometrical layout or substrate features. The proposed technique relies on the interpolation of macromodels computed via a complex vector fitting (CVF) algorithm, by adopting a methodology based on amplitude and frequency scaling that preserves, by construction, the physical properties of the system, such as causality, stability and passivity. For a specified combination of the design parameters, a rational CVF model is derived that can be simulated by a wide range of ordinary differential equation (ODE) solvers or circuit simulators. Additionally, time-domain simulations using the computed model can be performed at arbitrary optical carrier frequencies, thus allowing for the simulation of multi-wavelength systems. Two application examples are presented to demonstrate the flexibility and advantages of the proposed method.

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Comparison of extrapolation methods for de-embedding truncated measured transfer functions

Martínez

Albarracin-Vargas

Galvis

et al. 2021

2021 IEEE International Joint EMC/SI/PI and EMC Europe Symposium

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Extrapolation of a Truncated Spectrum With Hilbert Transform for Obtaining Causal Impulse Responses

Cited by 13 publications

References 14 publications

Insight into Frequency-Domain Extrapolations of Least-Squares-Based Curve Fitting Algorithms

Insight into Frequency-Domain Extrapolations of Least-Squares-Based Curve Fitting Algorithms

Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting

Comparison of extrapolation methods for de-embedding truncated measured transfer functions

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