Transient analysis of lossy transmission lines in integrated circuits

A method is presented for computing time-domain signals in a network containing lossy transmission lines. Computing the transient signals in circuits with lossy transmission lines involves evaluation of certain convolution integrals at each time step. Each convolution integral requires the signal values from the initial time up to the current time. The author present a technique called the exponential convolution algorithm (ECA) that allows evaluation of a convolution integral at the current time step by using the result of convolution at the previous time step. This method is an improvement on the previous polynomial convolution algorithm (PCA) since the ECA allows arbitrarily long simulation time. Accuracy and speed tradeoffs are presented as well as examples of simulation results