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 interconnected in a parallel configuration, wherein k is equal to a maximum order of the multi-rate Volterra compensator and is greater than one; and wherein for each kth order processing arm, an upsampler for increasing a 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, wherein each kth order processing arm removes a different order of nonlinear distortion.