Iterative decoding of codes over complex numbers for impulsive noise channels

Author

Häring, Jürgen ; Vinck, A. J Han

Author_Institution

Inst. for Exp. Math., Univ. of Essen, Germany

Volume

49

Issue

5

fYear

2003

fDate

5/1/2003 12:00:00 AM

Firstpage

1251

Lastpage

1260

Abstract

We discuss the decoding of error-correcting block codes over complex numbers for the transmission over impulsive noise channels. The encoder multiplies a vector of complex information symbols resulting from a modulation scheme, e.g., quadrature amplitude modulation (QAM), with a unitary generator matrix G. Choosing the inverse Fourier transform as G, the encoding procedure is similar to orthogonal frequency-division multiplex (OFDM) modulation. The maximum a posteriori (MAP) receiver is analyzed and a suboptimum decoder based on the turbo decoding principle is derived. Simulation results show the excellent performance of the iterative decoder.

Keywords

Fourier transforms; block codes; error correction codes; impulse noise; inverse problems; iterative decoding; least mean squares methods; matrix algebra; quadrature amplitude modulation; telecommunication channels; turbo codes; MAP estimation; MAP receiver; MMSE estimation; OFDM; QAM; complex information symbols vector; complex numbers; error-correcting block codes; impulsive noise channels; inverse Fourier transform; iterative decoder; iterative decoding; maximum a posteriori receiver; orthogonal frequency-division multiplex; quadrature amplitude modulation; simulation results; suboptimum decoder; turbo decoding; unitary generator matrix; AWGN; Additive white noise; Amplitude modulation; Block codes; Euclidean distance; Fourier transforms; Gaussian noise; Iterative decoding; OFDM modulation; Quadrature amplitude modulation;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2003.810636

Filename

1197852