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

Yuelin MA; Yasushi YAMAO; Yoshihiko AKAIWA

doi:10.1587/transfun.E96.A.675

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

Yuelin MA, Yasushi YAMAO, Yoshihiko AKAIWA

Full Text Views

0

Share
Cite this

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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.3 pp.675-683

Publication Date: 2013/03/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E96.A.675

Type of Manuscript: PAPER

Category: Digital Signal Processing

Cite this

Copy

Yuelin MA, Yasushi YAMAO, Yoshihiko AKAIWA, "An Algorithm for Obtaining the Inverse for a Given Polynomial in Baseband" in IEICE TRANSACTIONS on Fundamentals, vol. E96-A, no. 3, pp. 675-683, March 2013, doi: 10.1587/transfun.E96.A.675.
Abstract: 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.675/_p

Copy

@ARTICLE{e96-a_3_675,
author={Yuelin MA, Yasushi YAMAO, Yoshihiko AKAIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Algorithm for Obtaining the Inverse for a Given Polynomial in Baseband},
year={2013},
volume={E96-A},
number={3},
pages={675-683},
abstract={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.},
keywords={},
doi={10.1587/transfun.E96.A.675},
ISSN={1745-1337},
month={March},}

Copy

TY - JOUR
TI - An Algorithm for Obtaining the Inverse for a Given Polynomial in Baseband
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 675
EP - 683
AU - Yuelin MA
AU - Yasushi YAMAO
AU - Yoshihiko AKAIWA
PY - 2013
DO - 10.1587/transfun.E96.A.675
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2013
AB - 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.
ER -