Abstract

A technique which allows the gradient of frequency-domain simulation variables to be analytically determined using time-domain derivative information and the multidimensional fast Fourier transform is discussed. It is shown that this technique can be efficiently implemented when a circuit is driven by any number of incommensurate input frequencies. A harmonic balance simulator that uses this technique to determine the entries of the Jacobian matrix needed in a quasi-Newton iteration scheme is constructed. A significant reduction of simulation time is observed when compared with a harmonic balance simulator that uses transforms based on matrix multiplication.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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