An Algorithm for Obtaining the Inverse for a Given Polynomial in Baseband

Yuelin MA  Yasushi YAMAO  Yoshihiko AKAIWA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E96-A   No.3   pp.675-683
Publication Date: 2013/03/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E96.A.675
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Digital Signal Processing
Keyword: 
baseband polynomial,  orthogonal basis,  nonlinearity compensation,  polynomial inverse,  predistortion,  

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Summary: 
Compensation for the nonlinear systems represented by polynomials involves polynomial inverse. In this paper, a new algorithm is proposed that gives the baseband polynomial inverse with a limited order. The algorithm employs orthogonal basis that is predetermined from the distribution of input signal and finds the coefficients of the inverse polynomial to minimize the mean square error. Compared with the well established p-th order inverse method, the proposed method can suppress the distortions better including higher order distortions. It is also extended to obtain memory polynomial inverse through a feedback-configured structure. Both numerical simulations and experimental results demonstrate that the proposed algorithm can provide good performance for compensating the nonlinear systems represented by baseband polynomials.