Journal of Communications and Networks

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Maximum Likelihood Receivers for DAPSK Signaling

  • Xiao Lei (Department of Electrical Engineering, University of Notre Dame) ;
  • Dong Xiaodai (Department of Electrical and Computer Engineering, University of Victoria) ;
  • Tjhung Tjeng T. (Institute for Infocomm Research, TeleTech Park)
  • Published : 2006.06.01
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Abstract

This paper considers the maximum likelihood (ML) detection of 16-ary differential amplitude and phase shift keying (DAPSK) in Rayleigh fading channels. Based on the conditional likelihood function, two new receiver structures, namely ML symbol-by-symbol receiver and ML sequence receiver, are proposed. For the symbol-by-symbol detection, the conventional DAPSK detector is shown to be sub-optimum due to the complete separation in the phase and amplitude detection, but it results in very close performance to the ML detector provided that its circular amplitude decision thresholds are optimized. For the sequence detection, a simple Viterbi algorithm with only two states are adopted to provide an SNR gain around 1 dB on the amplitude bit detection compared with the conventional detector.

Keywords

References

  1. Y. C. Chow, A. R. Nix, and J. P. McGeehan, 'Analysis of 16-APSK modulation in AWGN and Rayleigh fading channel,' Electron. Lett., vol. 28, pp. 1608-1610, Aug. 1992 https://doi.org/10.1049/el:19921023
  2. F. Adachi and M. Sawahashi, 'Performance analysis of various 16 level modulation schemes under Rayleigh fading,' IEEE Electron. Lett., vol. 28, pp. 1579-1581, Aug. 1992 https://doi.org/10.1049/el:19921005
  3. Y. C. Chow, A. R. Nix, and J. P. McGeehan, 'Diversity improvement for 16-DAPSK in Rayleigh fading channel,' IEEE Electron. Lett., vol. 29, pp. 387-389, Feb. 1993 https://doi.org/10.1049/el:19930260
  4. Y. C. Chow, A. R. Nix, and J. P. McGeehan, 'Error performance of circular 16-DAPSK with postdetection diversity reception in Rayleigh fading channels,' lEE Proc. Commun., vol. 144, pp. 180-190, June 1997
  5. T. T. Tjhung, X. Dong, F. Adachi, and L. H. Tan, 'On diversity reception of narrowband 16 star-QAM in fast Rician fading,' IEEE Trans. Veh. Technol., vol. 46, pp. 923-932, Nov. 1997 https://doi.org/10.1109/25.653066
  6. T. May, H. Rohling, and V. Engels, 'Performance analysis of Viterbi decoding for 64-DAPSK and 64-QAM modulated OFDM signals,' IEEE Trans. Commun., vol. 46, pp. 182-190, Feb. 1998 https://doi.org/10.1109/26.659477
  7. J. Y. Lee, Y. M. Chung, and S. U. Lee, 'Postdetection diversity receiver for DAPSK signals on the Rayleigh- and Rician-fading channel,' IEEE Trans. Veh. Technol., vol. 50, pp. 1193-1202, Sept. 2001 https://doi.org/10.1109/25.950320
  8. K. Liu, W. Wang, and Y. Liu, 'High data rate transmission with 64-DAPSK over fading channel,' in Proc. IEEE WCNC, Atlanta, GA, Mar. 2004
  9. X. Dong and N. C. Beaulieu, 'A new method for calculating symbol error probabilities of two-dimensional signalings in Rayleigh fading with channel estimation errors,' IEEE Trans. Commun., accepted for publication, available at http://www.ece.uvic.ca/~xdong/channel_err.pdf
  10. P. Gao and C. Tepedelenliogli, 'SNR estimation for nonconstant modulus constellations,' IEEE Trans. Signal Processing, vol. 53, pp. 865-870, Mar. 2005 https://doi.org/10.1109/TSP.2004.842175
  11. S. Benedetto and E. Biglieri, Principles of Digital Transmission, New York, NY: Kluwer Academic/Plenum Publishers, 1999
  12. D. J. Young and N. C. Beaulieu, 'The generation of correlated Rayleigh random variates by inverse discrete Fourier transform,' IEEE Trans. Commun., vol. 49, pp. 1114-1127, July 2000