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Soft decision for Gray Coded PAM Signals Using Max-Log-MAP  

Hyun, Kwang-Min (국립원주대학 정보통신과)
Yoon, Dong-Weon (한양대학교 전자통신컴퓨터공학부)
Abstract
In this paper, we present a simple and general soft bit decision expression for a Gray coded PAM signal over additive white Gaussian noise(AWGN) channel with the log likelihood ratio(LLR). In order to reduce the complexity of the LLR calculation, we make the bitwise LLR expression simple by replacing the mathematical max functions of the conventional Max-Log-MAP expression with simple arithmetic functions associated with some deterministic parameters, such as a received value and distance between symbols on a signal space. Taking the implementation issues, like the area of silicon, the power consumption, the timing latency, and so on, into consideration, we submit that the proposed method is a promising alternative way to conventional methods for reconfigurable systems.
Keywords
Soft Decision; Max-log-MAP; PAM; Log Likelihood; QAM;
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1 K. Cho and D. Yoon, 'On the general BER expression of one- and two-dimensional amplitude modulations,' IEEE Trans. on Comm., vol. 50, no. 7, pp. 1074-1080, July 2002   DOI   ScienceOn
2 A. J. Viterbi, J. K. Wolf, E. Zehavi and R. Padovani, 'A pragmatic approach to trellis-coded modulation,' IEEE Comm. Magazine, vol. 27, no. 7, pp. 11-19, July 1989   DOI   ScienceOn
3 J. K. Kwon, S. Park and D. K. Sung, 'Log-likelihood ratio(LLR) conversion schemes in orthogonal code hopping multiplexing,' IEEE Comm. Letters, vol. 7, no. 3, pp. 104-106, Mar. 2003   DOI   ScienceOn
4 R. M. Pyndiah, 'Near-Optimum Decoding of Product Codes: Block Turbo Codes,' IEEE Trans. on Comm., vol. 43, no. 8, pp. 2360-2369, Aug. 1995   DOI   ScienceOn
5 S. Le Goff, A. Glavieux and C. Berrou, 'Turbo-Codes and high spectral efficiency modulation,' ICC '94 Proceedings, pp. 645-649, May 1994
6 S. Benedetto, D. Divsalar, G. Montorsi, and F. Pollara, 'Parallel Concatenated Trellis Coded Modulation,' ICC '96 Proceedings, pp. 974-978, June 1996
7 D. Yoon and K. Cho, 'General bit error probability of rectangular quadrature amplitude modulation,' lEE Electronics Letters, vol. 38, no. 3, pp. 131-132, January 2002   DOI   ScienceOn
8 C. C. Wang, 'A Bandwidth-Efficient Binary Turbo Coded Waveform Using QAM Signaling,' ICCCS '02 Proceedings, pp. 37-41, June 2002
9 P. Roberson and T. Worz, 'A Novel Bandwidth Efficient Coding Scheme Employing Turbo Codes,' ICC '96 Proceedings, pp. 962-967, June 1996
10 R. Pyndiah, A. Picart and A. Glavieux, 'Performance of block turbo coded 16-QAM and 64-QAM modulations,' GLOBECOM '95 Proceedings, pp 1039-1043, Nov. 1995
11 M. S. Raju, A. Ramesh and A. Chockalingam, 'BER Analysis of QAM with Transmit Diversity in Rayleigh Fading Channels,' GLOBECOM '03 Proceedings, pp. 641-645, Dec. 2003
12 W. J.Weber III, 'Differential encoding for multiple amplitude and phase shift keying systems,' IEEE Trans. on Comm., vol. 26, no. 7, pp. 385-391, Mar. 1978   DOI
13 P. Robertson, E. Villebrun and P. Hoeher, 'A comparison of optimal and sub-optimal MAP decoding algorithms operating in the log domain,' ICC '95 Proceedings, pp. 1009-1013, June 1995
14 C. Fragouli and R. Wesel, 'Turbo-encoder design for symbol-interleaved parallel concatenated trellis-coded modulation,' IEEE Trans. on Comm., vol. 49, no. 3, pp. 425-435, Mar. 2001   DOI   ScienceOn
15 A. J. Viterbi, 'An Intuitive Justification and a Simplified Implementation of the MAP decoder for Convolutional Codes,' IEEE Journ. on Sel. Areas in Comm., vol. 16, no. 2, pp. 260-264, 1998   DOI   ScienceOn