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A metric for analyzing effective on-chip inductive coupling

In this paper, we propose a metric for effective inductive coupling: the matrix (R + j/spl omega/L)/sup -1/, where R and L are the resistance and inductance matrices. We use this metric to analyze the effectiveness of shields on reducing inductive coupling. Our analysis shows how the resistances of shields affect the effective inductive coupling between signal nets. SPICE simulations are carried out to validate the proposed metric.