Signal Response Analysis Of Interconnects In High Speed Circuits Based On Laguerre FDTD

With the increasing of data rate and growing of integration in high-speed circuits,interconnects have become a major factor that affect the signal integrity of high-speedcircuit. Therefore, to obtain response of the high-speed circuit quickly and accurately isvery important. Because of the skin effect and so on, interconnect parameters will changewith the frequency, which makes calculation of the response of interconnects accuratelybecome more and more difficult. For quick and precise calculation of signal responses ofthe high-speed circuit interconnects, a new numerical method is used. The major work ofthis thesis can be summarized as the following:Firstly, we propose an unconditionally steady method based on weighted Laguerrepolynomials finite-difference time-domain （Laguerre FDTD） method for analysis ofinterconnects modeled as transmission line. The proposed method is different from theclassical FDTD, which use leap frog program restricted by Courant condition. Since it isan implicit method, this method is an unconditional stable solution. Experimental resultsshow that the proposed method is as accurate as but much faster than the conventionalFDTD and Hspice method.Secondly, the proposed method is used to analyze time domain responses of thefrequency-dependent coupled transmission line. Unlike the traditional FDTD method thatneed to deal with more complex convolution calculation of frequency-dependenttransmission lines, this paper combines Laguerre FDTD method with macromodel offrequency-dependent interconnect, making the computation only in time domain. Theproposed method has been expanded by combine with the macromodel. Finally, numericalshow the proposed solution is accurate and efficient compared with FDTD method.