A method and system for an IIR filter are provided. A sequence of input signals is converted to a first sequence of log signals, while a sequence of feedback signals is converted to a second sequence of log signals. IIR filtering coefficients are then added to each sequence of log signals to generate a plurality of term signals. The term signals are then converted to inverse-log signals which are summed to produce an output signal. The log/inverse-log conversions of signals are based on estimating a log/inverse-log function using a second-order polynomial.