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

Electronics

Lyudmyla L. Barannyk²  Hung H. Tran¹  Aicha Elshabini¹  Fred D. Barlow³ 

[1] Department of Electrical & Computer Engineering, University of Idaho, Moscow, ID 83844, USA; E-Mails:;Department of Mathematics, University of Idaho, Moscow, ID 83844, USA;College of Engineering, University of Alaska Anchorage, Anchorage, AK 99508, USA; E-Mail:

关键词: time delay;    delay estimation;    causality;    dispersion relations;    singular value decomposition;    SVD-based causal Fourier continuation;    high-speed interconnects;   

DOI  :  10.3390/electronics4040799

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.