A New Iterative Decoder for Turbo Codes on the Nonlinear Channel with Non-uniform 16QAM Modulation

In conventional bit interleaved coded modulation with iterative decoding (BICM - ID), a turbo decoder is employed where extrinsic information of the data bits is exchanged between two soft input soft output (SISO) devices. For a fixed size constellation, the probability distribution and distance among signal symbols are usually assumed to be uniform. Performance of BICM-ID is determined by the code structure, the signal mapping and the iteration scheduling between the soft-demapper and the decoder. In this paper, we propose a new scheme for the turbo receiver where an extra soft-demapper is placed between the two SISO decoders. Extrinsic information is exchanged for both data and parity bits. Also, a new non-uniform probability distribution technique for 16QAM is used with this new iterative decoding structure. We simulated a parallel concatenated convolutional code (PCCC) scheme with 16QAM modulation. Over a linear channel, this new iterative decoding scheme with non-uniform 16QAM offers a gain of 0.9 dB at a bit error rate (BER) of 10(exp -5). On a nonlinear satellite channel, we observed a gain of 1.2 dB compared to uniform 16QAM, also at a BER of 10(exp -5).

[1]  S. ten Brink,et al.  Iterative demapping and decoding for multilevel modulation , 1998, IEEE GLOBECOM 1998 (Cat. NO. 98CH36250).

[2]  S.S. Pietrobon,et al.  Performance of nonuniform M-ary QAM constellation on nonlinear channels , 2005, 2005 Australian Communications Theory Workshop.

[3]  Giuseppe Caire,et al.  Bit-Interleaved Coded Modulation , 2008, Found. Trends Commun. Inf. Theory.

[4]  A. Glavieux,et al.  Turbo-codes and high spectral efficiency modulation , 1994, Proceedings of ICC/SUPERCOMM'94 - 1994 International Conference on Communications.

[5]  Dan Raphaeli,et al.  Constellation shaping for pragmatic turbo-coded modulation with high spectral efficiency , 2004, IEEE Transactions on Communications.

[6]  G. David Forney Trellis shaping , 1992, IEEE Trans. Inf. Theory.

[7]  Adel A. M. Saleh,et al.  Frequency-Independent and Frequency-Dependent Nonlinear Models of TWT Amplifiers , 1981, IEEE Trans. Commun..

[8]  Dariush Divsalar,et al.  A soft-input soft-output APP module for iterative decoding of concatenated codes , 1997, IEEE Communications Letters.

[9]  S. Dolinar,et al.  Weight distributions for turbo codes using random and nonrandom permutations , 1995 .

[10]  P. E. McIllree,et al.  Channel Capacity Calculations For M-Ary N-Dimensional Signal Sets , 1995 .

[11]  Roberto Garello,et al.  A search for good convolutional codes to be used in the construction of turbo codes , 1998, IEEE Trans. Commun..

[12]  Li Ping,et al.  Coded modulation using superimposed binary codes , 2004, IEEE Transactions on Information Theory.

[13]  Xiaodong Li,et al.  Bit-interleaved coded modulation with iterative decoding , 1997, IEEE Communications Letters.

[14]  Gottfried Ungerboeck,et al.  Channel coding with multilevel/phase signals , 1982, IEEE Trans. Inf. Theory.