Transient Simulation of Distributed Networks Using Delay Extraction Based Numerical Convolution

This paper presents a numerical convolution based approach for transient simulation of distributed networks characterized by band limited frequency domain data when terminated with arbitrary nonlinear circuits. The proposed algorithm uses time-frequency decompositions to extract multiple propagation delays of a distributed network and the associated attenuation losses in a piecewise manner, and implements inverse fast Fourier transform to efficiently convert the frequency response into a sum of delayed time domain responses. Numerical examples illustrate that the proposed algorithm shows significantly more accurate results for networks with multiple long delays when compared to existing numerical convolution techniques.