Journal of Communications and Networks

  • 제17권1호
  • /
  • Pages.1-11
  • /
  • 2015
  • /
  • 1229-2370(pISSN)
  • /
  • 1976-5541(eISSN)
한국통신학회 (The Korean Institute of Commucations and Information Sciences)
권호 표지
DOI QR코드

DOI QR Code

Joint Transmitter and Receiver Optimization for Improper-Complex Second-Order Stationary Data Sequence

  • Yeo, Jeongho (Department of Electrical Engineering, Pohang University of Science and Technology (POSTECH)) ;
  • Cho, Joon Ho (Department of Electrical Engineering, POSTECH) ;
  • Lehnert, James S. (School of Electrical and Computer Engineering, Purdue University)
  • 투고 : 2014.01.16
  • 심사 : 2014.08.30
  • 발행 : 2015.02.28
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the transmission of an improper-complex second-order stationary data sequence is considered over a strictly band-limited frequency-selective channel. It is assumed that the transmitter employs linear modulation and that the channel output is corrupted by additive proper-complex cyclostationary noise. Under the average transmit power constraint, the problem of minimizing the mean-squared error at the output of a widely linear receiver is formulated in the time domain to find the optimal transmit and receive waveforms. The optimization problem is converted into a frequency-domain problem by using the vectorized Fourier transform technique and put into the form of a double minimization. First, the widely linear receiver is optimized that requires, unlike the linear receiver design with only one waveform, the design of two receive waveforms. Then, the optimal transmit waveform for the linear modulator is derived by introducing the notion of the impropriety frequency function of a discrete-time random process and by performing a line search combined with an iterative algorithm. The optimal solution shows that both the periodic spectral correlation due to the cyclostationarity and the symmetric spectral correlation about the origin due to the impropriety are well exploited.

키워드

과제정보

연구 과제 주관 기관 : National Research Foundation (NRF)

참고문헌

  1. J. G. Proakis, Digital Communications, 4th ed. NY: McGraw Hill, 2001.
  2. E. Serpedin et al., "Bibliography on cyclostationarity," Signal Process., vol. 85, no. 12, pp. 2233-2303, Dec. 2005. https://doi.org/10.1016/j.sigpro.2005.05.002
  3. W. A. Gardner, A. Napolitano, and L. Paura, "Cyclostationarity: Half a century of research," Signal Process., vol. 86, no. 4, pp. 639-697, Apr. 2006. https://doi.org/10.1016/j.sigpro.2005.06.016
  4. T. Berger and D. W. Tufts, "Optimum pulse amplitude modulation part I: Transmitter-receiver design and bounds from information theory," IEEE Trans. Inf. Theory, vol. 13, no. 2, pp. 196-208, Apr. 1967. https://doi.org/10.1109/TIT.1967.1053971
  5. E. Hansler, "Some properties of transmission systems with minimum mean-square error," IEEE Trans. Commun. Technol., vol. 19, no. 4, pp. 576-579, Aug. 1971. https://doi.org/10.1109/TCOM.1971.1090671
  6. T. Ericson, "Optimum PAM filters are always band limited," IEEE Trans. Inf. Theory, vol. 19, no. 4, pp. 570-573, July 1973. https://doi.org/10.1109/TIT.1973.1055025
  7. T. Ericson and U. Johansson, "A general time-discrete equivalent to a timecontinuous Gaussian channel," IEEE Trans. Inf. Theory, vol. 20, no. 4, pp. 544-549, July 1974. https://doi.org/10.1109/TIT.1974.1055253
  8. J. H. Cho, "Joint transmitter and receiver optimization in additive cyclostationary noise," IEEE Trans. Inf. Theory, vol. 50, no. 12, pp. 3396-3405, Dec. 2004. https://doi.org/10.1109/TIT.2004.838342
  9. W. A. Gardner and L. E. Franks, "Characterization of cyclostationary random signal processes," IEEE Trans. Inf. Theory, vol. 21, no. 1, pp. 4-14, Jan. 1975. https://doi.org/10.1109/TIT.1975.1055338
  10. J. Yang and S. Roy, "On joint transmitter and receiver optimization for multiple-input-multiple-output (MIMO) transmission systems," IEEE Trans. Commun., vol. 42, no. 12, pp. 3221-3231, Dec. 1994. https://doi.org/10.1109/26.339844
  11. G. D. Golden, J. E. Mazo, and J. Salz, "Transmitter design for data transmission in the presence of a data-like interferer," IEEE Trans. Commun., vol. 43, no. 2-4, pp. 837-850, Feb.-Apr. 1995. https://doi.org/10.1109/26.380116
  12. F. D. Neeser and J. L. Massey, "Proper complex random processes with applications to information theory," IEEE Trans. Inf. Theory, vol. 39, no. 4, pp. 1293-1302, July 1993. https://doi.org/10.1109/18.243446
  13. P. J. Schreier and L. L. Scharf, Statistical Signal Processing of Complex-Valued Data: The Theory of Improper and Noncircular Signals. NY: Cambridge Univ. Press, 2010.
  14. R. Cadambe, S. A. Jafar, and C.Wang, "Interference alignment with asymmetric complex signaling-Settling the Host-Madsen-Nosratinia conjecture," IEEE Trans. Inf. Theory, vol. 56, no. 9, pp. 4552-4565, Sept. 2010. https://doi.org/10.1109/TIT.2010.2053895
  15. S. H. Park, H. Park, and I. Lee, "Coordinated SINR balancing techniques for multi-cell downlink transmission," in Proc. VTC fall, Ottawa, ON, 6-9 Sept. 2010, pp. 1-5.
  16. Z. K. M. Ho and E. Jorswieck, "Improper Gaussian signaling on the twouser SISO interference channel," IEEE Trans. Wireless Commun., vol. 11, no. 9, pp. 3194-3203, Sept. 2012. https://doi.org/10.1109/TWC.2012.071612.111338
  17. Y. Zeng et al., "Transmit optimization with improper Gaussian signaling for interference channels," IEEE Trans. Signal Process., vol. 61, no. 11, pp. 2899-2913, June 2013. https://doi.org/10.1109/TSP.2013.2254480
  18. Renesas Mobile Europe Ltd., "Further considerations on advanced receivers," 3GPP TSG-RAN WG4 Meeting R4-66b, Chicago, IL, 15-19 Apr. 2013.
  19. Renesas Mobile Europe Ltd., "Receiver structures feasibility for LTE Rel-12," 3GPP TSG-RAN WG4 Meeting R4-66b, Chicago, IL, 15-19 Apr. 2013.
  20. W. M. Brown and R. B. Crane, "Conjugate linear filtering," IEEE Trans. Inf. Theory, vol. 15, no. 4, pp. 462-465, July 1969. https://doi.org/10.1109/TIT.1969.1054330
  21. Y. H. Yun and J. H. Cho, "An optimal orthogonal overlay for a cyclostationary legacy signal," IEEE Trans. Commun., vol. 58, no. 5, pp. 1557-1567, May 2010. https://doi.org/10.1109/TCOMM.2010.05.090001
  22. J. H. Cho and W. Gao, "Continuous-time equivalents of Welch bound equality sequences," IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3176-3185, Sept. 2005. https://doi.org/10.1109/TIT.2005.853323
  23. B. Picinbono and P. Bondon, "Second-order statistics of complex signals," IEEE Trans. Signal Process., vol. 45, no. 2, pp. 411-420, Feb. 1997. https://doi.org/10.1109/78.554305
  24. J. Yeo and J. H. Cho, "Asymptotic frequency-shift properizer for block processing of improper-complex second-order cyclostationary random processes," IEEE Trans. Inf. Theory, vol. 60, no. 7, pp. 4083-4100, July 2014. https://doi.org/10.1109/TIT.2014.2320938
  25. E. K. P. Chong and S. H. ˙Zak, An Introduction to Optimization, 4th ed. NJ: Wiley, 2013.