Abstract: Systems and methods can support constructing an infinite impulse response (IIR) filter. A desired frequency response may be received. An initial filter model may be constructed comprising complimentary pairs of component IIR filters based upon the desired frequency response. The filter model may be converged according to stepwise refinement of individual terms within the filter model. A global error for the converged filter model may be computed. An additional complimentary pair of component IIR filters may be incorporated into the filter model in response to the global error exceeding a maximum acceptable error. In response to incorporation of additional component IIR filters, convergence and evaluation of the filter model may be iterated. Upon final convergence of the filter model, an aggregate IIR filter may be generated by combing the component IIR filters.