Abstract
The paper offers a theoretical justification for using the Hilbert transform to estimate: (1) the phase differential of a CW transmitted over a flat fading channel from its envelope, and (2) the group delay of a frequency-selective fading channel from its amplitude response. In the former case, the theoretical justification is based on expressing the observed CW signal transmitted over a fading channel as a product of z′-domain zeros while in the latter case the theoretical justification is based on expressing the observed frequency response of a selective fading channel as a product of z-domain zeros. The paper also justifies the existence of a sign ambiguity in the resulting estimates based on the fact that the Hilbert transform assumes that the z′-domain zeros representing the CW signal as well as the z-domain zeros representing the selective fading channel are necessarily inside the unit circle which is not always true. The resulting estimate is applied to a Differential Quadrature Phase Shift Keying (DQPSK) signal transmitted over a flat fading channel and to a Differential Multilevel Phase Shift Keying (DMPSK) signal with Orthogonal Frequency Division Multiplexing (OFDM) transmitted over a frequency-selective channel. In both cases, it is shown that the irreducible BER due to the fading channel is reduced substantially.
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References
M. Fattouche and H. Zaghloul, “Estimating the Phase Differential of Signals Transmitted over Fading Channels,” Electron. Lett., Vol. 27, no. 18, pp. 1823–1824, June 1991.
H. Voelcker, “Toward a unified theory of modulation-part 1: phase-envelope relationships,” Proceedings of the IEEE, vol. 54, pp. 340–353, March 1966.
A. Papoulis, “The Fourier integral and its applications,” McGraw-Hill, 1962, New York, pp. 205–217.
H. W. Bode, “Network Analysis and Feedback Amplifier Design,” Robert E. Krieger Publishing Co., 1975, New York, pp. 303–345.
G. Longo and B. Pincinbono, “Time and Frequency Representation of Signals and Systems,” Springer-Verlag, New-York, 1989, pp. 1–9.
J. Dugundji, “Envelopes and Pre-Envelopes of Real Waveforms,” IRE Trans. on Information Theory, Vol. IT-4, pp. 53–57, March 1958.
A.A. Requicha, “The Zeros of Entire Functions: Theory and Engineering Applications,” Proc. IEEE, Vol. 68, no. 3, pp. 308–328, March 1980.
Y.O. Al-Jalili, “Analysis and Detection Algorithms for Complex Time Zeros of Bandlimited Signals,” IEE Proceedings-I, Vol. 138, no. 3, pp. 189–200, June 1991.
G. Lockhart, T. Bayes, A.A. Mehdi and Y.O. Al-Jalili, “Embedding Data in DSM-AM using Zero-Synchronous Modulation,” Electron. Lett., Vol. 23, no. 14, pp. 745–746, 2nd July 1987.
A.V. Oppenheim and R.W. Shafer, “Discrete-Time Signal Processing,” Prentice-Hall, Englewood Cliffs, 1989.
J.G. Proakis and D.G. Manolakis, “Introduction to Digital Signal Processing,” McMillan Publishing Company, New York, 1991.
Cellular System, “Dual-Mode mobile station-base station compatibility standard,” EIA/TIA, Project Number 2215, Electronic Industries Association, Jan. 1990.
P. Hoeher, J. Hagenauer, E. Offer, Ch. Rapp and H. Schulze, “Performance of an RCPC-Coded OFDM-Based Digital Audio Broadcasting (DAB) System,” Globecom'91, pp. 2.1.1–2.1.7, Phoenix, Arizona, Dec. 2–5 1991.
J.F. Helard and B. LeFloch, “Trellis Coded Orthogonal Frequency Division Multiplexing for Digital Video Transmission,” Globecom'91, pp. 23.5.1–23.5.7, Phoenix, Arizona, Dec. 2–5 1991.
B. Hirosaki, S. Hasegawa and A. Sabato, “Advanced Groupband data modem using orthogonally multiplexed QAM technique,” IEEE Trans. Commun., vol. COM-34, pp. 587–592, June 1986.
L.J. Cimini, Jr., “Analysis and simulation of a digital mobile channel using orthogonal frequency division multiplexing,” IEEE Trans. Commun., vol. COM-33, pp. 665–675, July 1985.
E.F. Casas and C. Leung, “OFDM for Data Communications over Mobile Radio FM Channels-Part I: Analysis and Experimental Results,” IEEE Trans. Commun., vol. COM-39, pp. 794–807, May 1991.
F. Adachi, “Postdetection Selection Diversity Effects on Digital FM Land Mobile Radio,” IEEE Trans. Veh. Technol., Vol. VT-31, pp. 166–172, Nov. 1982.
T. Miki and M. Hata, “Performance of 16Kbit/s GMSK Transmission with Postdetection Selection Diversity in Land Mobile Radio,” IEEE Trans. Veh. Technol., Vol. VT-33, pp. 128–133, Aug. 1984.
F. Adachi and J.D. Parsons, “Random FM Noise with Selection Combining,” IEEE Trans. Comm., Vol. COM-36, pp. 752–755, June 1988.
M. Yokoyama, “BPSK System with Sounder to Combat Rayleigh Fading in Mobile RadioCommunication,” IEEE Trans. Veh. Technol., Vol. VT-35, pp. 35–40, Feb. 1985.
M. Fattouche and H. Zaghloul, “Equalization of IS-54 Transmitted over a Flat Fading Channels,” to appear in the proceedings of ICC'92, Chicago, Ill., June 14–18 1992.
M.A. Poletti and R.G. Vaughan, “Reduction of Multipath Fading Effects in Single Variable Modulations,” ISSPA'90, pp. 672–676, Gold Coast, Australia, 27–31 August 1990.
R.J.C. Bultitude and G.K. Bedal, “Propagation characteristics on microcellular urban mobile radio channels at 910 MHz,” IEEE Journal on Selec. Areas on Comm., Vol. SAC-7, No.1, pp. 31–40, Jan. 1989.
K.E. Scott, “Antenna Diversity and Multichannel Adaptive Equalization in Digital Radio,” Ph.D. Dissertation, Department of Electrical and Computer Engineering, University of Calgary, 1991.
W.C. Jakes, “Microwave Mobile Communications,” New York: Wiley, 1974.
J. Andersen, S.L. Lauritzen and C. Thommesen, “Statistics of phase derivatives in mobile communications,” 36th IEEE Vehicular Tech. Conf., Dallas, Texas, May 1986, pp. 228–231.
W.D. Rummler, “A New Selective Fading Model: Application to Propagation Data,” B.S.T.J., Vol. 58(5), pp. 1037–1071, March–June 1979.
Y.O. Al-Jalili, A.A. Al-Obaidi and M.K. Habib, “Characteristics of Reduced Bandwidth Envelope Detected Minimum-Phase Signals,” IEE Proceedings-I, Vol. 137, no. 6, pp. 345–354, Dec. 1990.
H. Zhaghloul, G. Morrison and M. Fattouche, “Frequency response and path loss measurements of the indoor channel,” Electron. Lett., vol. 27, pp. 1021–1022, 6th June 1991.
R.F. Pawula, S.O. Rice and J.H. Roberts, “Distribution of the phase angle between two vectors perturbed by Gaussian noise,” IEEE Trans. Commun., vol. COM-30, pp. 1828–1841, Aug. 1982.
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Fattouche, M., Zaghloul, H. (1994). Error reduction of coded DPSK over a fading channel. In: Gulliver, T.A., Secord, N.P. (eds) Information Theory and Applications. ITA 1993. Lecture Notes in Computer Science, vol 793. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57936-2_36
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DOI: https://doi.org/10.1007/3-540-57936-2_36
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