Simulation of Nonuniform High-speed Interconnects with Frequency Dependent Parameters by Wavelets on the Interval

A wavelet approach to the analysis of nonuniform high-speed interconnects with frequency dependent parameters is presented in this paper. The nonuniform interconnects are modeled by the use of nonuniform multiconductor transmission line equations in the frequency domain. Two different methods are proposed here (differential and integral formulation): in both of them the space variable is expanded on a wavelet basis, yielding an algebraic system in the wavelet frequency domain. The algebraic system is then easily solved by the use of standard techniques; the results are inverse transformed yielding the behavior of voltage and current in the frequency domain. Inverse FFT (Fast Fourier Transform) gives the time domain solution.