A Spectral Approach to Frequency-Domain Sensitivity Analysis of Multiconductor Transmission Lines

Time-Domain Green's Function-Based Parametric Sensitivity Analysis of Multiconductor Transmission Lines

“…Each term of the infinite summation (6) can be represented with the symbol Z n (s, g) since it is the sensitivity with respect to g of the corresponding modal impedance Z n (s, g) [6]. Note that only the matrices Z pul (s, g), Y pul (s, g), and the corresponding derivatives with respect to parameters g (i.e., the Z pul (s, g) and Y pul (s, g) matrices) are required to obtain Z(s, g) from (6).…”

“…Recently, a spectral approach has been presented for the analysis of lossy and dispersive multiconductor transmission lines (MTLs) [5], and in [6] it was extended to provide a closed-form sensitivity analysis for MTLs in the frequencydomain. It is based on the computation of the closed-form dyadic Green's function of the 1-D wave propagation problem.…”

Time-domain parametric sensitivity analysis of multiconductor transmission lines

“…If so, the impedance matrix and its sensitivity can be calculated using the spectral decomposition (4) and (6), once the infinite summation of modes is truncated. Only a limited number of modes it is needed to model ( , ) andˆ( , ) accurately over the frequency bandwidth of interest [3], [2]. In the present paper an adaptive criteria is proposed to choose the required number of modes for the different values of the geometrical or physical parameter and the adopted solution will be shown only for theˆmatrix, since it is similar for the MTL impedance matrix.…”

“…This technique can handle design parameters, such as substrate or geometrical layout features, and provide time-domain sensitivity information for voltage and currents at the ports of the lines. It is based on a recently introduced spectral approach for the analysis of lossy and dispersive MTLs [1], [2] and it is suited to generate state-space models and synthesize equivalent circuits, which can be easily embedded into conventional SPICE-like solvers. Parametric macromodels which provide sensitivity information are well suited for design space exploration, design optimization and crosstalk analysis.…”

“…In the present paper the cited method is extended to perform the parametric sensitivity analysis of MTLs with respect to either geometric or physical parameters directly in the time-domain. the proposed technique it is based on the spectral decomposition proposed in [1], [2] and on the numerical interpolation of the p.u.l. parameters.…”