59 , pp. 2547-2553 , Oct. 2011 In one dimensional polynomial-based memory ( or memoryless ) DPD , in order to solve for the digital pre-distorter polynomials coefficients and minimize the mean squared error ( MSE ) , the distorted output of the nonlinear system must be over-sampled at a rate that enables the capture of the nonlinear products of the order of the digital pre-distorter .