Effect of Transmission Codes on Hybrid SC/MRC Diversity Reception MQAM system over Rayleigh Fading Channels
In this paper, the effect of transmission codes on the
performance of coherent square M-ary quadrature amplitude
modulation (CSMQAM) under hybrid selection/maximal-ratio
combining (H-S/MRC) diversity is analysed. The fading channels are
modeled as frequency non-selective slow independent and identically
distributed Rayleigh fading channels corrupted by additive white
Gaussian noise (AWGN). The results for coded MQAM are
computed numerically for the case of (24,12) extended Golay code
and compared with uncoded MQAM under H-S/MRC diversity by
plotting error probabilities versus average signal to noise ratio (SNR)
for various values L and N in order to examine the improvement in
the performance of the digital communications system as the number
of selected diversity branches is increased. The results for no
diversity, conventional SC and Lth order MRC schemes are also
plotted for comparison. Closed form analytical results derived in this
paper are sufficiently simple and therefore can be computed
numerically without any approximations. The analytical results
presented in this paper are expected to provide useful information
needed for design and analysis of digital communication systems
over wireless fading channels.
[1] J. G. Proakis, Digital Communication. New York: McGraw-Hill, 1995.
[2] T. Sunaga and S. Sampei, "Performance of multi-level QAM with post
detection maximal ratio combining space diversity for land mobile radio
communications," IEEE Trans. on Veh. Techno., vol. 42, Aug. 1993, pp
294-301.
[3] J. H. Winters, "Smart antennas for wireless systems," IEEE Pers.
Commun. Mag., pp. 23-27, Feb. 1998.
[4] R. L. Pickholtz, D. L. Schilling, and L. B. Milstein, "Theory of spreadspectrum
communicationsÔÇöA tutorial," IEEE Trans. Commun., vol.
COM-30, pp. 855-884, May 1982.
[5] M. Z. Win and R. A. Scholtz, "On the energy capture of ultra-wide
bandwidth signals in dense multipath environments," IEEE Commun.
Lett., vol. 2, pp. 245-247, Sept. 1998.
[6] H. Erben, S. Zeisberg and H. Nuszkowski, "BER performance of a
hybrid SC/MRC 2 DPSK Rake receiver in realistic mobile channels," in
Proc. 44 Annual International Veh. Techno. Conf., vol. 2, Stockholm,
Sweden, June 1994, pp 738-741.
[7] M. Z. Win and J. H. Winters, "Analysis of hybrid selection/maximalratio
combining techniques for Rayleigh-fading channels," in Proc. 49
Annual International Veh. Techno. Conf., vol. 1, Huston, TX, USA Sept.
1999, pp 215-220.
[8] M. Z. Win and J. H. Winters, "Analysis of hybrid selection/maximalratio
combining in Rayleigh-fading channels," IEEE Trans. on
Commun., vol. 47, Dec. 1999, pp 1773-1776.
[9] M. Z. Win and J. H. Winters, "Virtual branch analysis of symbol error
probability for hybrid selection/maximal-ratio combining in Rayleighfading
channels," IEEE Trans. on Commun., vol. 47, Nov. 2001, pp
1926-1934.
[10] A. Annamalai, G. Deora, and C. Tellambura, "Unified error probability
analysis for generalized selection diversity in Rician fading channels," in
Proc. IEEE Vehicular Technology Conf., May 2002, pp. 2042-2046.
[11] B. Xia and J. Wang, "Effect of channel-estimation error on QAM
systems with antenna diversity," IEEE Trans. Commun., vol. 53, no. 3,
pp. 481-488, Mar. 2005.
[12] Y. Ma, R. Schober, and S. Pasupathy, "Performance of M-PSK with
GSC and EGC with Gaussian weighting errors," IEEE Trans. Veh.
Technol., vol. 54, no. 1, pp. 149-162, Jan. 2005.
[13] M. K. Simon, S. M. Hinedi and W. C. Lindsey, Digital Communication
Techniques-Signal Design and Detection. Englewood Cliffs, NJ: PTR
Prentice Hall, 1995.
[14] J. Lu, T. T. Tjhung and C. C. Chai, "Error probability performance of Lbranch
diversity reception of MQAM in Rayleigh fading," IEEE Trans.
on Commun., vol. 46, Feb. 1998, pp 179-181.
[15] P. J. Bickel and K. Doksum, Mathematical Statistics: Basic Ideas and
Selected Topics. 1st ed. Oakland, CA: Holden-Day, 1977.
[16] A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering
and Science. 2nd ed. New York: Springer-Verlag, 1982.
[17] J. B. Conway, A Course in Functional Analysis. 2nd ed. New York:
Springer-Verlag, 1990
[18] D. Yoon, K. Cho, J. Lee, "Bit error probability of M-ary quadrature
amplitude modulation," Proc. IEEE Veh. Technol. Conf. VTC-2000 Fall,
Sept. 2000; Boston, MA USA; 2000.
[1] J. G. Proakis, Digital Communication. New York: McGraw-Hill, 1995.
[2] T. Sunaga and S. Sampei, "Performance of multi-level QAM with post
detection maximal ratio combining space diversity for land mobile radio
communications," IEEE Trans. on Veh. Techno., vol. 42, Aug. 1993, pp
294-301.
[3] J. H. Winters, "Smart antennas for wireless systems," IEEE Pers.
Commun. Mag., pp. 23-27, Feb. 1998.
[4] R. L. Pickholtz, D. L. Schilling, and L. B. Milstein, "Theory of spreadspectrum
communicationsÔÇöA tutorial," IEEE Trans. Commun., vol.
COM-30, pp. 855-884, May 1982.
[5] M. Z. Win and R. A. Scholtz, "On the energy capture of ultra-wide
bandwidth signals in dense multipath environments," IEEE Commun.
Lett., vol. 2, pp. 245-247, Sept. 1998.
[6] H. Erben, S. Zeisberg and H. Nuszkowski, "BER performance of a
hybrid SC/MRC 2 DPSK Rake receiver in realistic mobile channels," in
Proc. 44 Annual International Veh. Techno. Conf., vol. 2, Stockholm,
Sweden, June 1994, pp 738-741.
[7] M. Z. Win and J. H. Winters, "Analysis of hybrid selection/maximalratio
combining techniques for Rayleigh-fading channels," in Proc. 49
Annual International Veh. Techno. Conf., vol. 1, Huston, TX, USA Sept.
1999, pp 215-220.
[8] M. Z. Win and J. H. Winters, "Analysis of hybrid selection/maximalratio
combining in Rayleigh-fading channels," IEEE Trans. on
Commun., vol. 47, Dec. 1999, pp 1773-1776.
[9] M. Z. Win and J. H. Winters, "Virtual branch analysis of symbol error
probability for hybrid selection/maximal-ratio combining in Rayleighfading
channels," IEEE Trans. on Commun., vol. 47, Nov. 2001, pp
1926-1934.
[10] A. Annamalai, G. Deora, and C. Tellambura, "Unified error probability
analysis for generalized selection diversity in Rician fading channels," in
Proc. IEEE Vehicular Technology Conf., May 2002, pp. 2042-2046.
[11] B. Xia and J. Wang, "Effect of channel-estimation error on QAM
systems with antenna diversity," IEEE Trans. Commun., vol. 53, no. 3,
pp. 481-488, Mar. 2005.
[12] Y. Ma, R. Schober, and S. Pasupathy, "Performance of M-PSK with
GSC and EGC with Gaussian weighting errors," IEEE Trans. Veh.
Technol., vol. 54, no. 1, pp. 149-162, Jan. 2005.
[13] M. K. Simon, S. M. Hinedi and W. C. Lindsey, Digital Communication
Techniques-Signal Design and Detection. Englewood Cliffs, NJ: PTR
Prentice Hall, 1995.
[14] J. Lu, T. T. Tjhung and C. C. Chai, "Error probability performance of Lbranch
diversity reception of MQAM in Rayleigh fading," IEEE Trans.
on Commun., vol. 46, Feb. 1998, pp 179-181.
[15] P. J. Bickel and K. Doksum, Mathematical Statistics: Basic Ideas and
Selected Topics. 1st ed. Oakland, CA: Holden-Day, 1977.
[16] A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering
and Science. 2nd ed. New York: Springer-Verlag, 1982.
[17] J. B. Conway, A Course in Functional Analysis. 2nd ed. New York:
Springer-Verlag, 1990
[18] D. Yoon, K. Cho, J. Lee, "Bit error probability of M-ary quadrature
amplitude modulation," Proc. IEEE Veh. Technol. Conf. VTC-2000 Fall,
Sept. 2000; Boston, MA USA; 2000.
@article{"International Journal of Electrical, Electronic and Communication Sciences:61269", author = "J.S. Ubhi and M.S. Patterh and T.S. Kamal", title = "Effect of Transmission Codes on Hybrid SC/MRC Diversity Reception MQAM system over Rayleigh Fading Channels", abstract = "In this paper, the effect of transmission codes on the
performance of coherent square M-ary quadrature amplitude
modulation (CSMQAM) under hybrid selection/maximal-ratio
combining (H-S/MRC) diversity is analysed. The fading channels are
modeled as frequency non-selective slow independent and identically
distributed Rayleigh fading channels corrupted by additive white
Gaussian noise (AWGN). The results for coded MQAM are
computed numerically for the case of (24,12) extended Golay code
and compared with uncoded MQAM under H-S/MRC diversity by
plotting error probabilities versus average signal to noise ratio (SNR)
for various values L and N in order to examine the improvement in
the performance of the digital communications system as the number
of selected diversity branches is increased. The results for no
diversity, conventional SC and Lth order MRC schemes are also
plotted for comparison. Closed form analytical results derived in this
paper are sufficiently simple and therefore can be computed
numerically without any approximations. The analytical results
presented in this paper are expected to provide useful information
needed for design and analysis of digital communication systems
over wireless fading channels.", keywords = "Error probability, diversity reception, Rayleigh
fading channels, wireless digital communications.", volume = "2", number = "5", pages = "907-6", }