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Electronics 2015, 4(4), 799-826; doi:10.3390/electronics4040799

Time Delay Extraction from Frequency Domain Data Using Causal Fourier Continuations for High-Speed Interconnects

1
Department of Mathematics, University of Idaho, Moscow, ID 83844, USA
2
Department of Electrical & Computer Engineering, University of Idaho, Moscow, ID 83844, USA
3
College of Engineering, University of Alaska Anchorage, Anchorage, AK 99508, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Mostafa Bassiouni
Received: 21 August 2015 / Revised: 9 October 2015 / Accepted: 19 October 2015 / Published: 23 October 2015

Abstract

We present a new method for time delay estimation using band limited frequency domain data representing the port responses of interconnect structures. The approach is based on the spectrally accurate method for causality characterization that employs SVD-based causal Fourier continuations, which was recently developed by the authors. The time delay extraction is constructed by incorporating a linearly varying phase factor to the system of equations that determines the Fourier coefficients. The method is capable of determining the time delay using data affected by noise or approximation errors that come from measurements or numerical simulations. It can also be employed when only a limited number of frequency responses is available. The technique can be extended to multi-port and mixed-mode networks. Several analytical and simulated examples are used to demonstrate the accuracy and strength of the proposed technique. View Full-Text
Keywords: time delay; delay estimation; causality; dispersion relations; singular valuedecomposition; SVD-based causal Fourier continuation; high-speed interconnects time delay; delay estimation; causality; dispersion relations; singular valuedecomposition; SVD-based causal Fourier continuation; high-speed interconnects
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Barannyk, L.L.; Tran, H.H.; Elshabini, A.; Barlow, F.D. Time Delay Extraction from Frequency Domain Data Using Causal Fourier Continuations for High-Speed Interconnects. Electronics 2015, 4, 799-826.

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