Time Delay Extraction from Frequency Domain Data Using Causal Fourier Continuations for High-Speed Interconnects
Provides a robust time delay estimation technique for high-speed interconnect characterization, addressing practical issues like noise and limited data.
The authors propose a method for time delay extraction from band-limited frequency domain data of high-speed interconnects using causal Fourier continuations with SVD. The method handles noisy data and limited frequency samples, demonstrated on analytical and simulated examples.
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 recently developed by the authors spectrally accurate method for causality characterization that employs SVD-based causal Fourier continuations. The time delay extraction is constructed by incorporating a linearly varying phase factor to the system of equations that determines Fourier coefficients. The method is capable of determining 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.