Symbolic analysis of large analog integrated circuits: thenumerical reference generation problem

摘要

Symbolic analysis potentialities for gaining circuit insight andnfor efficient repetitive evaluations have been limited by thenexponential increase of formula complexity with the circuit size. Thisndrawback has begun to be solved by the introduction of simplificationnbefore and during generation techniques. An appropriate error control innboth involves the generation of a numerical reference, which implies thencalculation of network functions in the complex frequency variable. Thenpolynomial interpolation method, traditionally used for this task, isnanalyzed in detail, its limitations for large circuit analysis arenpointed out, and an adaptive scaling mechanism is proposed to meet thenefficiency and accuracy requirements imposed by the new simplificationnmethodologies