1. A power amplifying device for wireless communication comprising: a linear corrector that is configured to make pre-distortion functions into reality through a polynomial based format, said linear corrector comprising at least one processor to perform a polynomial based pre-distortion, wherein said processor is: configured to receive a polynomial of a pre-distorter; configured to transform the pre-distorter into a matrix, from which the pre-distortion matrix comprising K pre-distortion functions is obtained, where K denotes a maximum order of the polynomial; configured to obtain a singular value matrix through decomposition of a singular value; and configured to obtain an effective rank of the pre-distortion matrix on the basis of the singular value matrix, in which the effective rank of the pre-distortion matrix is determined as an effective order of the polynomial, wherein the effective rank of the described pre-distortion matrix is a minimum rank of the approximation pre-distortion matrix that can achieve the predetermined pre-distortion effects, and the approximation pre-distortion matrix is a matrix that approximates the pre-distortion matrix.