1. A multi-rate Volterra compensator for removing nonlinear distortion introduced by an electronic system, the multi-rate Volterra compensator comprising: a number, k, of processing arms, wherein k is equal to a maximum order of the multi-rate Volterra compensator and is greater than one; for each kth order processing arm, an upsampler for increasing the sampling rate of the multi-rate Volterra compensator's input by a factor of M k , wherein the increased sample rate is commensurate with a bandwidth of the nonlinear distortion; a first bandpass filter coupled to an output of the upsampler, and an upsampled Volterra filter coupled to an output of the first bandpass filter.