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We present a new circuit simulation approach aimed at circuit analysis under modulated carrier excitation. Although based on the harmonic-balance technique, the method efficiently handles large multitone simulation tasks that are encountered in quasiperiodic approximations to digitally modulated carriers. The development is motivated by the Accelerated Fixed-point algorithm of Tait, which is reformulated to include any number of nonlinear devices, and modified to improve the convergence properties. The proposed algorithm is applied to the spectral regrowth analysis of a microwave amplifier driven by a QPSK-modulated carrier.