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Abstract-This paper presents an efficient approach for analyzing the long-time response of high-speed dispersive and lossy interconnects terminated with nonlinear loads. In this approach, a fast realtime convolution algorithm with computational cost O(N log 2 N ) is suggested to tackle the long-time analysis of the high-speed dispersive and lossy interconnects, which are modeled by S-parameters. In addition, the acquirement of the S-parameters is recommended to adopt wideband closed-form formulas. The time response of a microstrip line with a nonlinear load is shown as a practical example. The dominant parameters affecting the response of this microstrip line is observed and discussed in detail. The approach demonstrates its efficiency and accuracy in the analysis.

In this work, a fast real‐time convolution algorithm is proposed. By using this approach, the cost for real‐time convolution in the presence of nonlinear terminations is reduced from O(N2) to O(N log2N). It is important to reduce the cost for the convolution operation because it usually dominates the computation time in a nonlinear circuit simulation. A nonlinearly‐terminated microwave 3‐port circuit, characterized by S parameters, is employed to demonstrate the efficiency of this fast algorithm. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 39: 280–282, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.11190

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In this paper, we will present the use of low frequency fast algorithms for crosstalk analysis. Some criss-cross line structures are studied and time domain signals are demonstrated to ascertain crosstalk effect.