Title :
A Fourier series-based RLC interconnect model for periodic signals
Author :
Chen, Guoqing ; Friedman, Eby G.
Author_Institution :
Dept. of Electr. & Comput. Eng., Rochester Univ., NY, USA
Abstract :
Based on a Fourier series analysis, an analytic interconnect model is presented which is suitable for periodic signals, such as a clock signal. In this model, the far end time domain waveform is approximated by the summation of several sinusoids. Closed form solutions of the 50% delay are provided when the fifth and higher harmonies are ignored. The model is applied to distributed interconnect trees and multiple coupled interconnects. Good accuracy is observed between the model and SPICE simulations. The computational complexity of the model is linear with the number of harmonies.
Keywords :
Fourier analysis; Fourier series; RLC circuits; coupled circuits; integrated circuit interconnections; integrated circuit modelling; signal representation; Fourier series analysis; RLC interconnect model; clock signals; distributed interconnect trees; interconnect delay; multiple coupled interconnects; on-chip signal Fourier series representation; periodic signals; sinusoid summation; Circuit simulation; Clocks; Closed-form solution; Delay; Fourier series; Integrated circuit interconnections; Integrated circuit modeling; SPICE; Signal analysis; Transfer functions;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465539