Abstract
The problem of maximum likelihood (ML) detection of differentially encodedM-PSK signals on Rayleigh fading channels is investigated. It is shown that the solution to this problem can be easily related to previous results [1] and leads to the implementation of a receiver structure based on the Viterbi algorithm and employing per-survivor processing. The error rate performance of this receiver is evaluated by means of computer simulations for both coded and uncoded systems.
Similar content being viewed by others
References
G. M. Vitetta and D. P. Taylor, Maximum likelihood sequence estimation of uncoded and coded PSK signals transmitted over Rayleigh flat-fading channels,Conf. Rec. ICC'94, New Orleans, LA, pp. 1–7, 1994.
J. G. Proakis,Digital Communications, McGraw-Hill, New York, 1983.
D. Divsalar and M. K. Simon, Multiple-symbol differential detection of MPSK,IEEE Transactions on Communications, Vol. 38, No. 3, pp. 300–308, 1990.
S. Wilsonet al., Multi-symbol detection of M-DPSK,Conf. Rec. GLOBECOM'89, Dallas, TX, pp. 1692–1697, 1989.
F. Edbauer, Bit error rate of binary and quaternary DPSK signals with multiple differential feedback detection,IEEE Transactions on Communications, Vol. 40, No. 3, pp. 457–460, 1992.
H. Leib and S. Pasupathy, The phase of a vector perturbed by Gaussian noise and differentially coherent receivers,IEEE Transactions on Information Theory, Vol. 34, No. 6, pp. 1491–1501, 1988.
F. Adachi and M. Sawahashi, Viterbi decoding differential detection of DPSK,Electronics Letters, Vol. 28, No. 23, pp. 2196–2198, 1992.
P. Ho and D. Fung, Error performance of multiple-symbol differential detection of PSK signals transmitted over correlated Rayleigh fading channels,IEEE Transactions on Communications, Vol. 40, No. 10, pp. 1566–1569, 1992.
K. Yu and P. Ho, Trellis Coded modulation with multiple symbol differential detection,Conf. Rec. ICC'93, Geneva, Switzerland, pp. 1414–1418, 1993.
C. W. Therrien,Discrete Random Signals and Statistical Signal Processing, Prentice Hall, Englewood Cliffs, 1992.
M. V. Eyuboglu and S. U. H. Qureshi, Reduced-state sequence estimation with set partition and decision feedback,IEEE Transactions on Communications, Vol. 36, No. 1, pp. 13–20, 1988.
P. R. Chevillat and E. Eleftheriou, Decoding of trellis-encoded signals in the presence of intersymbol interference and noise,IEEE Transactions on Communications, Vol. 37, No. 7, pp. 669–676, 1982.
R. Raheliet al., The principle of per-survivor processing: a general approach to approximate and adaptive MLSE,Conf. Rec. GLOBECOM'91, Phoenix, AZ, pp. 33.3.1–33.3.6, 1991.
D. Divsalar and M. K. Simon, The performance of trellis coded multilevel DPSK on a fading mobile satellite channel,IEEE Transactions on Vehicular Technology, Vol. 37, No. 2, pp. 78–91, 1988.
F. Edbauer, Performance of interleaved trellis-coded differential 8-PSK modulation over fading channels,IEEE Journal on Selected Areas in Communications, Vol. 7, No. 9, pp. 1340–1346, 1989.
H. Leib and S. Pasupathy, Trellis-coded differentially coherent (TCDC) MPSK with carrier-phase-noise,IEEE Transactions on Communications, Vol. 39, No. 6, pp. 877–886, 1991.
D. Makrakiset al., A sequential decoder for differential detection of trellis-coded PSK signals,Conf. Rec. ICC'88, Philadelphia, PA, pp. 1433–1438, 1988.
D. Makrakis and P. T. Mathioupoulos, Optimal decoding in fading channels: a combined envelope, multiple differential and coherent detection approach,Conf. Rec. GLOBECOM'89, Dallas, TX, pp. 1551–1557, 1989.
G. Ungerboeck, Channel coding with multilevel/phase signals,IEEE Transactions on Information Theory, Vol. 28, No. 1, pp. 55–67, 1982.
G. H. Golub and C. F. Van Loan,Matrix Computations, 2nd ed., The Johns Hopkins University Press, Baltimore, MD, 1983.
W. C. Dam and D. P. Taylor, An adaptive maximum likelihood receiver for correlated Rayleigh fading channels,IEEE Transactions on Communications, Vol. 42, No. 9, pp. 2684–2692, September 1994.
J. H. Painter and S. C. Gupta, Recursive ideal observer detection of knownM-ary signals in multiplicative and additive Gaussian noise,IEEE Transactions on Communications, Vol. 21, No. 8, pp. 948–953, 1973.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vitetta, G.M., Taylor, D.P. Maximum likelihood sequence estimation of differentially encoded PSK signals transmitted over Rayleigh frequency-flat fading channels. Int J Wireless Inf Networks 2, 71–81 (1995). https://doi.org/10.1007/BF01464457
Issue Date:
DOI: https://doi.org/10.1007/BF01464457