Transient simulation of high-speed interconnects based on the semidiscretization of Telegrapher´s equations

A new method for the transient simulation of high-speed interconnects is presented in this paper. Based upon the semidiscretization of the Telegrapher´s equations, i.e., discretizing the time derivatives while remaining the space derivatives unchanged, a discrete time-domain companion model for transmission lines is developed. The model can be easily implemented in a general circuit simulator such as SPICE. Transmission lines with frequency-dependent parameters are dealt with. No special technique is required to ensure the stability of the model, as in the case of frequency domain moment-matching methods. Numerical examples are given to demonstrate the validity and efficiency of the method