Transient simulation of lossy coupled transmission lines using iterative linear least square fitting and piecewise recursive convolution

We present a computationally efficient method to stimulate lossy transmission lines using iterative linear least square fitting (ILLSF) model synthesis and piecewise recursive convolution (PRC). Based on the generalized method of characteristics, transmission lines are modeled with characteristic impedances and waveform generators. Thus the first major task involves network synthesis. The second is efficient computation of the synthesized waveform generators which requires computationally expensive convolution integral evaluation during transient simulation of transmission lines. The superior performance of ILLSF and the efficiency of PRC are demonstrated for the transient simulation of coupled lossy transmission lines.