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Application of generalized scattering matrix for prediction of power supply noise

In this paper, application of generalized scattering matrix is studied for predicting resonant and anti-resonant frequencies of power distribution network, which are the major causes of power supply noise. With the reflection and transmission characteristics of generalized scattering matrix of package interposer, power supply voltage fluctuation and conducted noise are accurately estimated considering non-ideal and general parasitic effects of LSI and PCB. The proposed method is experimentally validated through a measurement of test fixture that supports different kinds of ceramic capacitors. With the proposed method, power supply voltage fluctuation and conducted noise propagation of different designs are more accurately predicted than conventional prediction method that uses Z-parameter of the package. Through the equivalent circuit model of the test fixture, the effect of circuit parameters to the frequency responses of power supply noise is also analyzed for better choice of the noise-suppression capacitors.