Analytical Crosstalk Noise and Its Induced-Delay Estimation for Distributed RLC Interconnects under Ramp Excitation

Electromagnetic signatures: a virtual test and verification tool for soc signal integrity

“…Similar analysis results in the following expressions of the common and differential mode of the current propagating in both lines (27) and (28) to the single line expression [9] indicates that the current expression of the single line in (1) could be used to derive i -(z,t) and i + (z,t). However, the s i and d i coefficients of (1) must be adjusted to reflect the current propagation mode condition i.e.…”

“…The analysis of the coupled lines depicted in Fig.3 is achieved through the decoupling of the lines voltages [9]. Similar analysis results in the following expressions of the common and differential mode of the current propagating in both lines (27) and (28) to the single line expression [9] indicates that the current expression of the single line in (1) could be used to derive i -(z,t) and i + (z,t).…”

“…Substituting by t' in (9) and applying the property of the partial fraction product of two functions, yields:…”

“…Given that (31) is analogous to the worst case crosstalk noise voltage in [9], the EMS for coupled interconnects is derived by correlating the proposed time-domain crosstalk noise peak voltage induced by the aggressor line onto the victim line in [9] to its EM radiation derived using (31). This is simply achieved by replacing the current in the single line EM analysis by that of that noise given in (31).…”

“…EM emission radiation of two-coupled lines at phi=0 0 (doted line) and at phi=90 0 (solid line) Worst case Noise peak: Spice vs four-pole Padé estimate[9].…”