Abstract
Recently, there has been great demand for multimedia and data communications in mobile communication systems. In order to enhance voice quality and increase packet data throughput rate for the existing mobile systems and the next generation mobile systems, a number of new standards are being developed. 8-PSK/QPSK modulation has been adopted by most of these standards as one of the modulation schemes, and nonuniformly spaced pilot symbols are employed in slot structures to have successful demodulation. In this paper, an accurate and computationally efficient method is presented for estimating nondispersive channel fading with non-uniformly spaced pilot symbols. By employing a least-squares method with time-variant complex-valued coefficient polynomials, it is proven that nonselective channel fading of each slot can be estimated by the product of a constant matrix and the fading at pilot symbol locations of the slot. The constant matrix is further optimized by least-squares off-line training method provided by this paper. Using the estimated fading process, the fading on the data symbols can be removed by using the estimated amplitude and phase of the fading as the reference, greatly improving the BER. Closed form results for the BER of coherent 8-PSK are included in this paper as well. Simulation results indicate that our method provides BER performance very close to the analytic BER result.
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REFERENCES
J. P. McGeehan and A. J. Bateman, “Phase locked transparent tone-in-band (TTIB): A new spectrum configuration particularly suited to the transmission of data over SSB mobile radio networks,” IEEE Trans. Commun., vol. COM-32, pp. 81-87, Jan. 1984.
F. Davarian, “Mobile digital communications via tone calibration,” IEEE Trans. Veh. Technol., vol. VT-36, pp. 55-62, May 1987.
P. M. Martin et al., “The implementation of a 16-QAM mobile data system using TTIB-based fading correction techniques,” in Proc. IEEE Veh. Technol., pp. 71-76, 1988.
M. L. Moher and J. H. Lodge, “TCMP-a modulation and coding strategy for Rician fading channels,” IEEE J. Select. Areas Commun., vol. 7, pp. 1347-1335, Dec. 1989.
A. Aghamohammadi, H. Meyr, and G. Asheid, “A new method for phase synchronization and automatic gain control of linearly modulated signals on frequency-flat fading channels,” IEEE Trans. Commun., vol. 39, pp. 25-29, 1991.
A. Mammela and V.-P. Kaasila, “Smoothing and interpolation in a pilot-symbol assisted diversity system,” Int. J. Wireless Inform. Networks, vol. 4, pp. 205-214, 1997.
S. Gurunathan and K. Feher, “Pilot symbol aided QPRS for digital land mobile applications,” in Proc. IEEE ICC, pp. 760-764, 1992.
S. Sampei and T. Sunaga, “Rayleigh fading compensation for QAM in land mobile radio communications,” IEEE Trans. Veh. Technol., vol. 42, pp. 137-147, May, 1993.
Y. Kamio and S. Sampei, “Performance of a Trellis-coded 16QAM ?TDMA system for land mobile communications,” IEEE Trans. Veh. Technol., vol. 43, pp. 528-536, 1994.
J. K. Cavers, “An analysis of pilot symbol assisted modulation for Rayleigh fading channels,” IEEE Trans. Veh. Technol., vol. 40, pp. 686-693, Nov. 1991.
G. T. Irvine and P. J. McLane, “Symbol-aided plus decision-directed reception for PSK ?TCM modulation on shadowed mobile satellite fading channels,” IEEE J. Select. Areas Commun., vol. 10, pp. 1289-11299, Oct. 1992.
A. N. D'Andrea, A. Diglio, and U. Mengali, “Symbol-aided channel estimation with nonselective Rayleigh fading channels,” IEEE Trans. Vh. Technol., vol. 44, pp. 41-48, Feb. 1995.
P. Schramm and R. R. Muller, “Pilot symbol assisted BPSK on Rayleigh fading channels with diversity: performance analysis and parameter optimization,” IEEE Trans. Commun., vol. 46, pp. 1560-1563, Dec. 1998.
TIA Technical Sub-Committee TR-45.3, “TIA ?EIA-136-131-A Draft Text: Digital Traffic Channel Layer 1,” Nov. 1998.
TIA Technical Sub-Committee TR-45.3, “TIA ?EIA-136-331 Draft Text: Packet Data Service-Draft Physical Layer Rev 1.2,” Feb. 1999.
ETSI. TS 101 350 V6.1.0 (1998-10), “Digital Cellular Telecommunication System (Phase 2+); General Packet Radio Service (GPRS); Overall Description ofthe GPRS Radio Interface; Stage 2,” (GSM 03.64 version 6.1.0), Oct. 1998.
TIA Technical Sub-Committee Tr-45.3, “Updated UWC-136 Radio Transmission Technology,” Sept. 1998.
TESI. Tdoc SMG2 95 ?97, “Enhanced Data rate for GSM Evolution (EDGE) Feasibility Study, Work Item 184; Improved Data Rates through Optimised Modulation,” version 0.3, Dec. 1997.
A. Samukic, “UMTS universal mobile telecommunications system: development of standards for the third generation,” IEEE Trans. Veh. Technol., vol. 47, pp. 1099-1104, Nov. 1998.
E. Dahlman, et al., “WCDMA-The radio interface for future mobile multimedia communications,” IEEE Trans. veh. Technol., vol. 47, pp. 1105-1118, Nov. 1998.
TIA Technical Sub-Committee TR-45.5, “The cdma2000 ITU-R RTT Candidate Submission (0.18),” July 1998.
J. W. Brewer, “Kronecker products and matrix calculus in system theory,” IEEE Trans. Circuits and System, vol. CAS-25, pp. 772-781, Sept. 1978.
F. Rotella, “Improvements on derivatives of matrices,” J. Franklin Inst., vol. 328, no. 4, pp. 487-503, 1991.
A. Aghamohammadi and H. Meyr, “On the error probability of linearly modulated signals on Rayleigh frequency-flat fading channels,” IEEE Trans. Commun., vol. 38, pp. 1966-1970, Nov. 1990.
M. G. Shayesteh and A. Aghamohammadi, “On the error probability of linearly modulated signals on frequency-flat Rician, Rayleigh, and AWGN channels,” IEEE Trans. Commun., vol. 43, pp. 1454-1466, Feb ?Mar ?Apr 1995.
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Xiao, C., Olivier, J.C. Nonselective Fading Channel Estimation with Nonuniformly Spaced Pilot Symbols. International Journal of Wireless Information Networks 7, 177–185 (2000). https://doi.org/10.1023/A:1009545729746
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DOI: https://doi.org/10.1023/A:1009545729746