Abstract
The effect of the shaping filter excess bandwidth in the performance of symbol-sampled receivers over unknown continuous-time channels is investigated. The shaping filter overall response is divided between the transmit and receive filters. The performance loss is determined in terms of information rate, and relative to the case of perfectly synchronized matched filtering, where the continuous-time channel has to be known a priori. Numerical results are presented for the case of a raised cosine shaping filter and 2- and 3-rays continuous-time channel models. We show that the losses increase with the increase of the excess bandwidth, reaching a maximum at 100% excess bandwidth, and a minimum at no excess bandwidth.
References
Douillard C., Jezequel M., Berrou C., Picart A., Didier P., Glavieux A. (1995) “Iterative Correction of Intersymbol Interference: Turbo Equalization”. European Transactions on Telecommunications, 6(5):507–511
Raphaeli D., Zarai Y. (1998) “Combined Turbo Equalization and Turbo Decoding”. Communication Letters, 2(4):107–109
Laot C., Glavieux A., Labat J. (2001) “Turbo Equalization: Adaptive Equalization and Channel Decoding Jointly Optimized”. IEEE Journal of Selected Areas Communication, 19(9):1744–1752
Tüchler M., Singer A.C., Kotter R. (2002) “Turbo Equalization: Principles and New Results”. IEEE Transaction Communications., 50(5):754–767
Garcia-Frias J., Villasenor J.D. (2003) “Combined Turbo Detection and Decoding for Unknown Channels”. IEEE Transactions Communications., 51(1):79–85
Forney G.D. Jr (1972) “Maximum-Likelihood Sequence Estimation of Digital Sequences in the Presence of Intersymbol Interference”. IEEE Transactions on Information Theory, IT-18, 363–378
Chugg K.M., Polydoros A. (1996) “MLSE for an Unknown Channel - Part I: Optimality Considerations”. IEEE Transactions on Communications, 44(7):836–846
Borah D.K., Kennedy R.A., Ding Z., Fijalkow I. (2001) “Sampling and Prefiltering Effects on Blind Equalizer Design”. IEEE Transactions Signal Processing, 49(1):209–218
A. Å. Hansson, Generalized APP Detection for Communication over Time-Dispersive Waveform Channels. Ph.D. thesis, Chalmers University of Technology, Göteborg, Sweden, 2003.
R. D. Souza and J. Garcia-Frias, “Performance of Symbol-Sampled Receivers Over Unknown Continuous-Time Channels”, Procedings of the IEEE ICC’04, Paris, France, Vol. 5, pp. 2822–2826, 2004.
Souza R.D., Garcia-Frias J. (2005) “Performance of Symbol-Sampled Receivers Over Unknown Continuous-Time Rayleigh Channels”. IEEE Transactions on Wireless Communications, 4(5):2020–2026
Hirt W., Massey J.L. (1988) “Capacity of the Discrete-Gaussian Channel with Intersymbol Interference”. IEEE Transactions on Information Theory, 34(3):380–388
Xia X-G. (2001) Modulated Coding for Intersymbol Interference Channels. Marcel Dekker, Newyork
R. Urbanke, Advanced Digital Communications, class notes. DSC-LTHC, EPFL:Lausanne, Switzerland, 2002.
Gray R.M. (1972) “On the Asymptotic Eigenvalue Distribution of Toeplitz Matrices”. IEEE Transaction on Information Theory, IT-18:725–730
Xiang W., Pietrobon S.S. (2003) “On the Capacity and Normalization of ISI Channels”. IEEE Transaction Information Theory, 49(9):2263–2268
Proakis J.G. (1995) Digital Communications, Third Edition. Newyork, McGraw-Hill
Rappaport T.S. (1996) Wireless Communications: Principles and Practice. Prentice-Hall, Englewood Cleffs, NJ
P. Hoeher and S. Badri, “On the Timing Sensitivity of Symbol-Spaced Trellis-Based Equalizers Applied to Frequency-Selective Fading Channels”, Procedings Seventh Communication Theory Mini-Conference in conjunction with IEEE GLOBECOM’98, Sydney, Australia, pp. 88–93, 1998.
Nayak A.R., Barry J.R., McLaughlin S.W. (2002) “Joint Timing Recovery and Turbo Equalization for Coded Partial Response Channels”. IEEE Transactions on Magnetics, 38(5):2295–2297
A. R. Nayak, J. R. Barry, and S. W. McLaughlin, “Iterative Timing Recovery and Turbo Equalization”, Procedings of the 3rd International Symposium on Turbo Codes & Related Topics, Brest, France, 2003.
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Souza, R.D., Garcia-Frias, J. Effect of the Shaping Filter in the Performance of Symbol-Sampled Receivers Over Unknown Continuous-Time Channels. Wireless Pers Commun 42, 619–629 (2007). https://doi.org/10.1007/s11277-006-9215-6
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DOI: https://doi.org/10.1007/s11277-006-9215-6