1. A computer implemented method for simulating a time-domain response of a mixed-signal system comprising acts of: breaking up a mixed-signal system simulation into clock periods; generating a wavelet-based matrix operator representation of time-domain equations characterizing a mixed signal system, with the wavelet-based matrix operator representation including wavelet connection coefficients; selecting a number of wavelets, a set of wavelet basis functions, and the wavelet-based matrix operator with which to represent a time domain performance of the system; calculating a time-domain response of the mixed signal system by performing sequentially over a large number of clock cycles an act of: iteratively applying the wavelet-based matrix operator within each clock period, wherein the large number of clock cycles is approximately greater than sixteen thousand three hundred and eighty four clock cycles and calculation within each clock period is weakly non-linear, and wherein the calculation within each clock period is performed by matrix multiplication, wherein the weakly non-linear calculation utilizes a linearity measure of approximately less than 50% of a linear portion of the mixed signal system; and outputting the time-domain response of the mixed signal system to an user, whereby the user can utilize the time-domain response of the mixed signal system to evaluate the behavioral performance of the system.