2015
DOI: 10.1109/tcpmt.2015.2444388
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Spectrally Accurate Causality Enforcement Using SVD-Based Fourier Continuations for High-Speed Digital Interconnects

Abstract: Abstract-We introduce an accurate and robust technique for accessing causality of network transfer functions given in the form of bandlimited discrete frequency responses. These transfer functions are commonly used to represent the electrical response of high speed digital interconnects used on chip and in electronic package assemblies. In some cases small errors in the model development lead to non-causal behavior that does not accurately represent the electrical response and may lead to a lack of convergence… Show more

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Cited by 17 publications
(36 citation statements)
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“…For a causal periodic continuation, according to (5), we need Im C(H)(x) to be the Hilbert transform of − Re C(H)(x). It can be shown [4] that this implies α k = 0 for k ≤ 0 in (6). Hence, a causal Fourier continuation has the form…”
Section: Causal Fourier Continuationsmentioning
confidence: 93%
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“…For a causal periodic continuation, according to (5), we need Im C(H)(x) to be the Hilbert transform of − Re C(H)(x). It can be shown [4] that this implies α k = 0 for k ≤ 0 in (6). Hence, a causal Fourier continuation has the form…”
Section: Causal Fourier Continuationsmentioning
confidence: 93%
“…The following result is true [4]. Theorem : Consider a rescaled transfer function H(x) defined by symmetry on Ω = [−0.5, −a] ∪ [a, 0.5], where a = 0.5 wmin wmax , whose values are available at points x j ∈ Ω, j = 1, .…”
Section: Appendix Error Analysis Of Causality Characterization Methodmentioning
confidence: 99%
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“…The dispersion relations are very important in many areas of physics, science and engineering. Applications in electronics include reconstruction and correction [9] of measured data, delay extraction [6], estimation of optimal bandwidth and data density using causality checking [14] and causality enforcement techniques [10], [13], [1], [3], [2] that is the subject of the present study.…”
Section: Introductionmentioning
confidence: 99%
“…To improve the smoothness of periodic continuations and, thus, significantly reduce or completely eliminate boundary artifacts caused by using bandwidth limited frequency responses, an idea of approximating the transfer function by Fourier series in an extended domain was proposed in [3]. The approach allows one to obtain extremely accurate approximations of the given function on the original frequency interval.…”
Section: Introductionmentioning
confidence: 99%