A digital predistortion system and method for pre-distorting an input to a non-linear system. The digital predistortion system includes a digital predistortion circuit and a memory. The digital predistortion circuit is configured to receive input data and modify the input data using at least one look-up table. The at least one look-up table is addressed by a signed real value of the input data. The memory is configured to store the at least one look-up table. The at least one look-up table is implemented based on a generalized memory polynomial model.