A new efficient waveform simulation method for RLC interconnect via amplitude and phase approximation

In this paper we use a segmented Chebyshev orthogonal polynomial expansion approach to approximate amplitude and phase response for RLC interconnect simulation. This method has been shown to be efficient in reducing frequency sampling point number or expansion order. Experiments also show that the number of sampling points is not necessarily dependent on the interconnect circuit size, which makes possible large network simulation. Additionally, because of the smoothing-effect of the atan function in evaluation, the phase response, which has major impact on the transient edge of output response, can be easily approximated. Experiments show the proposed simulation approach achieves 30-50 times speed-up over spice3f4.