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Volumn 56, Issue 4, 2010, Pages 1948-1960

Error rates of the maximum-likelihood detector for arbitrary constellations: Convex/concave behavior and applications

Author keywords

Convexity concavity; Error rate; Jamming; Maximum likelihood detection; OFDM; Optimum transmission

Indexed keywords

AWGN CHANNEL; BIT MAPPING; CODED SYSTEM; CONVEX OPTIMIZATION TECHNIQUES; CONVEXITY/CONCAVITY; ERROR RATE; GAUSSIAN APPROXIMATIONS; HIGH SNR; HIGHER DIMENSIONS; INTERFERENCE CHANNELS; LINEAR COMBINATIONS; MAXIMUM LIKELIHOOD DETECTORS; MAXIMUM- LIKELIHOOD DETECTION; OFDM SYSTEMS; OPTIMUM TRANSMISSION; PAIR-WISE ERROR PROBABILITY; POWER ALLOCATIONS; PRECODING; QPSK MODULATION; SECOND DERIVATIVES; SPATIAL MULTIPLEXING SYSTEMS; SYMBOL ERROR RATES;

EID: 77950213860     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2040965     Document Type: Article
Times cited : (41)

References (44)
  • 3
    • 2942631280 scopus 로고    scopus 로고
    • Analysis of decision feedback detection forMIMORayleigh-fading channels and the optimization of power and rate allocations
    • Jun.
    • N. Prasad and M. K.Varanasi, "Analysis of decision feedback detection forMIMORayleigh-fading channels and the optimization of power and rate allocations," IEEE Trans. Inf. Theory, vol.50, Jun. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50
    • Prasad, N.1    Varanasi, M.K.2
  • 4
    • 33744770330 scopus 로고    scopus 로고
    • Nulling and cancellation detector for MIMO channels and its application to multistage receiver for coded signals: Performance and optimization
    • May
    • J. Choi, "Nulling and cancellation detector for MIMO channels and its application to multistage receiver for coded signals: Performance and optimization," IEEE Trans. Wireless Commun., vol.5, no.5, pp. 1207-1216, May 2006.
    • (2006) IEEE Trans. Wireless Commun. , vol.5 , Issue.5 , pp. 1207-1216
    • Choi, J.1
  • 5
    • 46349093100 scopus 로고    scopus 로고
    • On optimum power allocation for the V-BLAST
    • Jun.
    • V. Kostina and S. Loyka, "On optimum power allocation for the V-BLAST," IEEE Trans. Commun., vol.56, pp. 999-1012, Jun. 2008.
    • (2008) IEEE Trans. Commun. , vol.56 , pp. 999-1012
    • Kostina, V.1    Loyka, S.2
  • 6
    • 70449480922 scopus 로고    scopus 로고
    • Optimum power and rate allocation for coded V-BLAST
    • Dresden, Germany, Jun.
    • V. Kostina and S. Loyka, "Optimum power and rate allocation for coded V-BLAST," in Proc. IEEE Int. Conf. Commun. (ICC-09), Dresden, Germany, Jun. 2009.
    • (2009) Proc. IEEE Int. Conf. Commun. (ICC-09)
    • Kostina, V.1    Loyka, S.2
  • 7
    • 0030195612 scopus 로고    scopus 로고
    • Convexity properties in binary detection problems
    • Jul.
    • M. Azizoglu, "Convexity properties in binary detection problems," IEEE Trans. Inf. Theory, vol.42, pp. 1316-1321, Jul. 1996.
    • (1996) IEEE Trans. Inf. Theory , vol.42 , pp. 1316-1321
    • Azizoglu, M.1
  • 8
    • 27744556524 scopus 로고    scopus 로고
    • Bit loading with BERconstraint for multicarrier systems
    • Jul.
    • A. M. Wyglinski, F. Labeau, and P. Kabal, "Bit loading with BERconstraint for multicarrier systems," IEEE Trans. Wireless Commun., vol.4, no.4, pp. 1383-1387, Jul. 2005.
    • (2005) IEEE Trans. Wireless Commun. , vol.4 , Issue.4 , pp. 1383-1387
    • Wyglinski, A.M.1    Labeau, F.2    Kabal, P.3
  • 9
    • 0041910908 scopus 로고    scopus 로고
    • BER minimized OFDM systems with channel independent precoders
    • Sep.
    • Y.-P. Lin and S.-M. Phoong, "BER minimized OFDM systems with channel independent precoders," IEEE Trans. Signal Process., vol.51, pp. 2369-2380, Sep. 2003.
    • (2003) IEEE Trans. Signal Process. , vol.51 , pp. 2369-2380
    • Lin, Y.-P.1    Phoong, S.-M.2
  • 10
    • 0034228087 scopus 로고    scopus 로고
    • Adaptive minimum BIT-Error rate equalization for binary signaling
    • Jul.
    • C. C. Yeh and J. R. Barry, "Adaptive minimum BIT-Error rate equalization for binary signaling," IEEE Trans. Commun., vol.48, no.7, pp. 1226-1235, Jul. 2000.
    • (2000) IEEE Trans. Commun. , vol.48 , Issue.7 , pp. 1226-1235
    • Yeh, C.C.1    Barry, J.R.2
  • 11
    • 0034298626 scopus 로고    scopus 로고
    • Constrained minimum-BER multiuser detection
    • Oct.
    • X. Wang, W. S. Lu, and A. Antoniou, "Constrained minimum-BER multiuser detection," IEEE Trans. Signal Process., vol.48, pp. 2903-2909, Oct. 2000.
    • (2000) IEEE Trans. Signal Process. , vol.48 , pp. 2903-2909
    • Wang, X.1    Lu, W.S.2    Antoniou, A.3
  • 12
    • 0042283724 scopus 로고    scopus 로고
    • Joint Tx-Rx beamforming design for multicarrier MIMO channels: A unified framework for convex optimization
    • Sep.
    • D. P. Palomar, J. M. Cioffi, and M. A. Lagunas, "Joint Tx-Rx beamforming design for multicarrier MIMO channels: A unified framework for convex optimization," IEEE Trans. Signal Process., vol.51, pp. 2381-2401, Sep. 2003.
    • (2003) IEEE Trans. Signal Process. , vol.51 , pp. 2381-2401
    • Palomar, D.P.1    Cioffi, J.M.2    Lagunas, M.A.3
  • 18
    • 0036638416 scopus 로고    scopus 로고
    • On the general BER expression of one- and two-dimensional amplitude modulations
    • Jul.
    • 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.
    • (2002) IEEE Trans. Commun. , vol.50 , Issue.7 , pp. 1074-1080
    • Cho, K.1    Yoon, D.2
  • 19
    • 33947189566 scopus 로고    scopus 로고
    • Exact evaluation of bit- and symbol-error rates for arbitrary 2-D modulation and nonuniform signaling in AWGN channel
    • Jun.
    • L. Szczecinski, S. Aissa, C. Gonzalez, and M. Bacic, "Exact evaluation of bit- and symbol-error rates for arbitrary 2-D modulation and nonuniform signaling in AWGN channel," IEEE Trans. Commun., vol.54, no.6, pp. 1049-1056, Jun. 2006.
    • (2006) IEEE Trans. Commun. , vol.54 , Issue.6 , pp. 1049-1056
    • Szczecinski, L.1    Aissa, S.2    Gonzalez, C.3    Bacic, M.4
  • 20
    • 0041817786 scopus 로고    scopus 로고
    • A simple and general parameterization quantifying performance in fading channels
    • Aug.
    • Z.Wang and G. B. Giannakis, "A simple and general parameterization quantifying performance in fading channels," IEEE Trans. Commun., vol.51, no.8, pp. 1389-1398, Aug. 2003.
    • (2003) IEEE Trans. Commun. , vol.51 , Issue.8 , pp. 1389-1398
    • Wang, Z.1    Giannakis, G.B.2
  • 21
    • 0003579258 scopus 로고    scopus 로고
    • Cambridge U.K.: Cambridge University Press
    • S. Verdu, Multiuser Detection. Cambridge, U.K.: Cambridge University Press, 1998.
    • (1998) Multiuser Detection
    • Verdu, S.1
  • 24
    • 0018439646 scopus 로고
    • Simple approximations of the error function for communications applications
    • Mar.
    • P. O. Borjesson and C. E. W. Sundberg, "Simple approximations of the error function for communications applications," IEEE Trans. Commun., vol.27, no.3, pp. 639-643, Mar. 1979.
    • (1979) IEEE Trans. Commun. , vol.27 , Issue.3 , pp. 639-643
    • Borjesson, P.O.1    Sundberg, C.E.W.2
  • 25
    • 0004267646 scopus 로고
    • Princeton NJ: Princeton Univ. Press
    • R. T. Rockafellar, Convex Analysis. Princeton, NJ: Princeton Univ. Press, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 26
    • 0026866852 scopus 로고
    • Optimum diversity combining and equalization in digital data transmission with applications to cellular mobile radio-Part I: Theoretical considerations
    • May
    • P. Balaban and J. Salz, "Optimum diversity combining and equalization in digital data transmission with applications to cellular mobile radio-Part I: Theoretical considerations," IEEE Trans. Commun., vol.40, no.5, pp. 885-894, May 1992.
    • (1992) IEEE Trans. Commun. , vol.40 , Issue.5 , pp. 885-894
    • Balaban, P.1    Salz, J.2
  • 27
    • 0029391812 scopus 로고
    • MMSE decision-feedback equalizers and coding-Part I: Equalization results
    • Oct.
    • J. M. Cioffi et al., "MMSE decision-feedback equalizers and coding-Part I: Equalization results," IEEE Trans. Commun., vol.43, no.10, pp. 2582-2594, Oct. 1995.
    • (1995) IEEE Trans. Commun. , vol.43 , Issue.10 , pp. 2582-2594
    • Cioffi, J.M.1
  • 28
    • 0032069385 scopus 로고    scopus 로고
    • Error-rate evaluation of linear equalization and decision feedback equalization with error propagation
    • May
    • J. E. Smee and N. C. Beaulieu, "Error-rate evaluation of linear equalization and decision feedback equalization with error propagation," IEEE Trans. Commun., vol.46, no.5, pp. 656-665, May 1998.
    • (1998) IEEE Trans. Commun. , vol.46 , Issue.5 , pp. 656-665
    • Smee, J.E.1    Beaulieu, N.C.2
  • 29
    • 66949121440 scopus 로고    scopus 로고
    • Log-concavity property of the error probability with application to local bounds for wireless communications
    • Jun.
    • Conti et al., "Log-concavity property of the error probability with application to local bounds for wireless communications," IEEE Trans. Inf. Theory, vol.55, no.6, pp. 2766-2775, Jun. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.6 , pp. 2766-2775
    • Conti1
  • 30
    • 0032663902 scopus 로고    scopus 로고
    • M-PSK and M-QAMBER computation using signal-space concepts
    • Feb.
    • J. Lu et al., "M-PSK andM-QAMBER computation using signal-space concepts," IEEE Trans. Commun., vol.47, no.2, pp. 181-184, Feb. 1999.
    • (1999) IEEE Trans. Commun. , vol.47 , Issue.2 , pp. 181-184
    • Lu, J.1
  • 31
    • 0032663905 scopus 로고    scopus 로고
    • Error probabilities of two dimensional M-ary signaling in fading
    • Mar.
    • 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.
    • (1999) IEEE Trans. Commun. , vol.47 , Issue.3 , pp. 352-355
    • Dong, X.1    Beaulieu, N.C.2    Wittke, P.H.3
  • 32
    • 0037272117 scopus 로고    scopus 로고
    • A recursive algorithm for the exact BER computation of generalized hierarchical QAM constellations
    • Jan.
    • P. K. Vitthaladevuni and M. S. Alouini, "A recursive algorithm for the exact BER computation of generalized hierarchical QAM constellations," IEEE Trans. Inf. Theory, vol.49, no.1, pp. 297-307, Jan. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.1 , pp. 297-307
    • Vitthaladevuni, P.K.1    Alouini, M.S.2
  • 33
    • 0344445686 scopus 로고    scopus 로고
    • Computation of the exact bit-error rate of coherent M-ary PSK with gray code bit mapping
    • Nov.
    • J. Lassing et al., "Computation of the exact bit-error rate of coherent M-ary PSK with gray code bit mapping," IEEE Trans. Commun., vol.51, no.11, pp. 1758-1760, Nov. 2003.
    • (2003) IEEE Trans. Commun. , vol.51 , Issue.11 , pp. 1758-1760
    • Lassing, J.1
  • 34
    • 0034291074 scopus 로고    scopus 로고
    • A recursive algorithm for the error probability evaluation of M-QAM
    • Oct.
    • L. L. Yang and L. Hanzo, "A recursive algorithm for the error probability evaluation of M-QAM," IEEE Commun. Lett., vol.4, pp. 304-306, Oct. 2000.
    • (2000) IEEE Commun. Lett. , vol.4 , pp. 304-306
    • Yang, L.L.1    Hanzo, L.2
  • 35
    • 11944251241 scopus 로고    scopus 로고
    • Log-concave probability and its applications
    • M. Bagnoli and T. Bergstrom, "Log-concave probability and its applications," Econom. Theory, vol.26, pp. 445-469, 2005.
    • (2005) Econom. Theory , vol.26 , pp. 445-469
    • Bagnoli, M.1    Bergstrom, T.2
  • 36
    • 42949130596 scopus 로고    scopus 로고
    • A functional inequality for the survival function of the gamma distribution
    • A. Baricz, "A functional inequality for the survival function of the gamma distribution," J. Inequal. Pure and Appl. Math., vol.9, no.1, pp. 1-5, 2008.
    • (2008) J. Inequal. Pure and Appl. Math. , vol.9 , Issue.1 , pp. 1-5
    • Baricz, A.1
  • 37
    • 0036477220 scopus 로고    scopus 로고
    • Exact pairwise error probability of spacetime codes
    • Feb.
    • G. Taricco and E. Biglieri, "Exact pairwise error probability of spacetime codes," IEEE Trans. Inf. Theory, vol.48, no.2, pp. 510-513, Feb. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.2 , pp. 510-513
    • Taricco, G.1    Biglieri, E.2
  • 38
    • 0019056974 scopus 로고
    • Does a larger intersymbol interference result in a higher probability of error?
    • Sep.
    • Y. C. Jenq, "Does a larger intersymbol interference result in a higher probability of error?," IEEE Trans. Commun., vol.28, no.9, pp. 1771-1773, Sep. 1980.
    • (1980) IEEE Trans. Commun. , vol.28 , Issue.9 , pp. 1771-1773
    • Jenq, Y.C.1
  • 39
    • 0015346292 scopus 로고
    • An upper bound on the probability of error due to intersymbol interference for correlated digital signals
    • May
    • F. E. Glave, "An upper bound on the probability of error due to intersymbol interference for correlated digital signals," IEEE Trans. Inf. Theory, vol.18, no.3, pp. 356-363, May 1972.
    • (1972) IEEE Trans. Inf. Theory , vol.18 , Issue.3 , pp. 356-363
    • Glave, F.E.1
  • 40
    • 0016874032 scopus 로고
    • Moment space upper and lower error bounds for digital systems with intersymbol interference
    • Jan.
    • K. Yao and R. M. Tobin, "Moment space upper and lower error bounds for digital systems with intersymbol interference," IEEE Trans. Inf. Theory, vol.22, no.1, pp. 65-74, Jan. 1976.
    • (1976) IEEE Trans. Inf. Theory , vol.22 , Issue.1 , pp. 65-74
    • Yao, K.1    Tobin, R.M.2
  • 41
    • 0036864605 scopus 로고    scopus 로고
    • Minimum BER power loading for OFDM in fading channel
    • Nov.
    • L. Goldfeld, V. Lyandres, and D. Wulich, "Minimum BER power loading for OFDM in fading channel," IEEE Trans. Commun., vol.50, no.11, pp. 1729-1733, Nov. 2002.
    • (2002) IEEE Trans. Commun. , vol.50 , Issue.11 , pp. 1729-1733
    • Goldfeld, L.1    Lyandres, V.2    Wulich, D.3
  • 43
    • 38849178360 scopus 로고    scopus 로고
    • MIMO transceiver design via majorization theory
    • D. P. Palomar and Y. Jiang, "MIMO transceiver design via majorization theory," Found. Trends Commun. Inf. Theory, vol.3, no.4-5, pp. 331-551, 2006.
    • (2006) Found. Trends Commun. Inf. Theory , vol.3 , Issue.4-5 , pp. 331-551
    • Palomar, D.P.1    Jiang, Y.2
  • 44
    • 33746600795 scopus 로고    scopus 로고
    • Performance analysis of linear codes under maximum-likelihood decoding: A tutorial
    • I. Sason and S. Shamai, "Performance analysis of linear codes under maximum-likelihood decoding: A tutorial," Found. Trends Commun. Inf. Theory, vol. 3, no. 1/2, pp. 1-222, 2006.
    • (2006) Found. Trends Commun. Inf. Theory , vol.3 , Issue.1-2 , pp. 1-222
    • Sason, I.1    Shamai, S.2


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