Log-concavity property of the error probability with application to local bounds for wireless communications

IEEE Transactions on Information Theory

Volumn 55, Issue 6, 2009, Pages 2766-2775

  Conti, Andrea ^a,b   Panchenko, Dmitry ^c,d   Sidenko, Sergiy ^c   Tralli, Velio ^a,b  

^a UNIVERSITY OF FERRARA   (Italy)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^d TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Error statistics; Fading channels; Local bounds; Log concavity; Performance evaluation; Probability

Indexed keywords

DIGITAL WIRELESS COMMUNICATION SYSTEM; ERROR PROBABILITIES; GAUSSIAN; LOCAL BOUNDS; LOG-CONCAVITY; MULTI-DIMENSIONAL MODULATIONS; PERFORMANCE EVALUATION; REGION OF INTEREST; WIRELESS COMMUNICATIONS;

ACOUSTIC INTENSITY; CELLULAR TELEPHONE SYSTEMS; COMMUNICATION SYSTEMS; ERROR STATISTICS; FADING (RADIO); FADING CHANNELS; GLOBAL SYSTEM FOR MOBILE COMMUNICATIONS; MOBILE COMPUTING; MODULATION; SIGNAL TO NOISE RATIO;

PROBABILITY;

EID: 66949121440     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2009.2018273     Document Type: Article

References (40)

1. W. C. Jakes, Ed., Microwave Mobile Communications, Classic Reissue ed. Piscataway, NJ: IEEE Press, 1995.
2. J. G. Proakis, Digital Communications, 4th ed. New York: McGraw-Hill, 2001.
3. M. K. Simon and M.-S. Alouini, Digital Communication Over Fading Channels, 2nd ed. New York: Wiley, 2004.
4. A. J. Goldsmith and S.-G. Chua, "Variable-rate variable-power MQAM for fading channel," IEEE Trans. Commun., vol. 45, no. 10, pp. 1218-1230, Oct. 1997.
5. A. Conti, M. Z. Win, and M. Chiani, "Invertible bounds for M-QAM in Rayleigh fading," IEEE Trans. Wireless Commun., vol. 4, no. 5, pp. 1994-2000, Sep. 2005.
6. A. Conti, M. Z. Win, and M. Chiani, "Slow adaptive M-QAM with diversity in fast fading and shadowing," IEEE Trans. Commun., vol. 55, no. 5, pp. 895-905, May 2007.
7. C. R. Cahn, "Combined digital phase and amplitude modulation communication systems," IEEE Trans. Commun. Syst., vol. 8, no. 3, pp. 150-155, Sep. 1960.
8. J. C. Hancock and R. W. Lucky, "Performance of combined amplitude and phase-modulated communication systems," IEEE Trans. Commun. Syst. vol. 8, no. 4, pp. 232-237, Dec. 1960.
9. C. N. Campopiano and B. C. Glazer, "A coherent digital amplitude and phase modulation scheme," IEEE Trans. Commun. Syst., vol. 10, no. 1, pp. 90-95, Mar. 1962.
10. J. C. Hancock and R. W. Lucky, "On the optimum performance of n-ary systems having two degrees of freedom," IEEE Trans. Commun. Syst. vol. 10, no. 2, pp. 185-192, Jun. 1962.
11. L. Hanzo, W. Webb, and T. Keller, Single- and Multi-carrier Quadrature Amplitude Modulation: Principles and Applications for Personal Communications, WLANs and Broadcasting, 1st ed. Piscataway, NJ: IEEE Press/Wiley, 2000.
12. G. J. Foschini and J. Salz, "Digital communications over fading radio channels," Bell Syst. Tech. J., vol. 62, no. 2, pp. 429-456, Feb. 1983.
13. X. Qiu and K. Chawla, "On the performance of adaptive modulation in cellular systems," IEEE Trans. Commun., vol. 47, no. 6, pp. 884-895, Jun. 1999.
14. A. Duel-Hallen, S. Hu, and H. Hallen, "Long-range prediction of fading signals - Enabling adapting transmission for mobile radio channels," IEEE Signal Process. Mag., vol. 17, no. 3, pp. 62-75, May 2000.
15. S. T. Chung and A. J. Goldsmith, "Degree of freedom in adaptive modulation: A unified view," IEEE Trans. Commun., vol. 49, no. 9, pp. 1561-1571, Sep. 2001.
16. J. Lu, K. B. Letaief, J. C.-I. Chuang, and M. L. Liou, "M-PSK and M-QAM BER computation using signal-space concepts," IEEE Trans. Commun. vol. 47, no. 2, pp. 181-184, Feb. 1999.
17. X. Dong, N. C. Beaulieu, and P. H.Wittke, "Error probabilities of two-dimensional M-ary signaling in fading," IEEE Trans. Commun., vol. 47, no. 3, pp. 352-355, Mar. 1999.
18. L.-L. Yang and L. Hanzo, "A recursive algorithm for the error probability evaluation of M-QAM," IEEE Commun. Lett., vol. 4, no. 10, pp. 304-306, Oct. 2000.
19. K. Cho and D. Yoon, "On the general BER expression of one- and two-dimensional amplitude modulations," IEEE Trans. Commun., vol. 50, no. 7, pp. 1074-1080, Jul. 2002.
20. M. K. Simon and M.-S. Alouini, Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis, 1st ed. New York: Wiley, 2000.
21. A. Conti, M. Z. Win, and M. Chiani, "On the inverse symbol-error probability for diversity reception," IEEE Trans. Commun., vol. 51, no. 5, pp. 753-756, May 2003.
22. M. Azizoglu, "Convexity properties in binary detection problems," IEEE Trans. Inf. Theory, vol. 42, no. 4, pp. 1316-1321, Jul. 1996.
23. S. Loyka, V. Kostina, and F. Gagnon, "Symbol error rates of maximal-likelihood detector: Convex/concave behavior and applications," in Proc. IEEE Int. Symp. Inf. Theory, Nice, Jun. 2007, pp. 1-5.
24. R. J. McEliece and W. E. Stark, "Channels with block interference," IEEE Trans. Inf. Theory, vol. IT-30, no. 1, pp. 44-53, Jan. 1984.
25. M. Chiani, "Error probability for block codes over channels with block interference," IEEE Trans. Inf. Theory, vol. 44, no. 7, pp. 2998-3008, Nov. 1998.
26. M. Chiani, A. Conti, and O. Andrisano, "Outage evaluation for slow frequency-hopping mobile radio systems," IEEE Trans. Commun., vol. 47, no. 12, pp. 1865-1874, Dec. 1999.
27. A. Giorgetti and M. Chiani, "Influence of fading on the Gaussian approximation for BPSK and QPSK with asynchronous cochannel interference," IEEE Trans. Wireless Commun., vol. 4, no. 2, pp. 384-389, Mar. 2005.
28. A. Giorgetti, M. Chiani, and M. Z. Win, "The effect of narrowband interference on wideband wireless communication systems," IEEE Trans. Commun., vol. 53, no. 12, pp. 2139-2149, Dec. 2005.
29. M. A. Landolsi and W. E. Stark, "On the accuracy of Gaussian approximations in the error analysis of DS-CDMA with OQPSK modulation," IEEE Trans. Commun., vol. 50, no. 12, pp. 2064-2071, Dec. 2002.
30. A. Conti, M. Z. Win, M. Chiani, and J. H. Winters, "Bit error outage for diversity reception in shadowing environment," IEEE Commun. Lett., vol. 7, no. 1, pp. 15-17, Jan. 2003.
31. A. Prékopa, "On logarithmic concave measures and functions," Acta Sci. Math., vol. 34, pp. 335-343, 1973.
32. L. Leindler, "On a certain converse of Hölder's inequality," Acta Sci. Math., vol. 33, no. 3-4, pp. 217-223, 1972.
33. E. Biglieri and M. Elia, "Multidimensional modulation and coding for band-limited digital channels," IEEE Trans. Inf. Theory, vol. IT-34, no. 4, pp. 803-809, Jul. 1988.
34. X. Chu and R. Murch, "Multidimensional modulation for ultra-wideband multiple-access impulse radio in wireless multipath channels," IEEE Trans. Wireless Commun., vol. 4, no. 5, pp. 2373-2386, Sep. 2005.
35. N. Tran and H. Nguyen, "Design and performance of BICM-ID systems with hypercube constellations," IEEE Trans. Wireless Commun., vol. 5, no. 5, pp. 1169-1179, May 2006.
36. L.-F. Wei, "Trellis-coded modulation with multidimensional constellations," IEEE Trans. Inf. Theory, vol. IT-33, no. 4, pp. 483-501, Jul. 1987.
37. Z. Wang and G. B. Giannakis, "A simple and general approach to the average and outage performance analysis in fading," IEEE Trans. Commun., vol. 51, no. 8, pp. 1389-1398, Aug. 2003.
38. H. Ghaffar and S. Pasupathy, "Asymptotical performance of binary and M-ary signals over multipath/multichannel rayleigh and rician fading," IEEE Trans. Commun., vol. 43, no. 11, pp. 2721-2731, Nov. 1995.
39. A. Conti, M. Z. Win, and M. Chiani, "On the inverse symbol error probability for diversity reception," IEEE Trans. Commun., vol. 51, no. 5, pp. 753-756, May 2003.
40. V. Erceg, L. J. Greenstein, S. Y. Tjandra, S. R. Parkoff, A. Gupta, B. Kulic, A. A. Julius, and R. Bianchi, "An empirically based path loss model for wireless channels in suburban environments," IEEE J. Sel. Areas Commun., vol. 17, no. 7, pp. 1205-1211, Jul. 1999.