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

TL;DR

This paper introduces a spectrally accurate method for estimating time delays in high-speed interconnects from frequency domain data, even with noise or limited data, using causal Fourier continuations.

Contribution

The authors develop a novel causality-based approach employing SVD and phase factors for precise time delay extraction from frequency responses.

Findings

Accurately estimates time delays with noisy data.

Effective with limited frequency response data.

Applicable to multi-port and mixed mode networks.

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 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.