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Wireless Fading Paradigm for Antenna Array Receiver for a Disk-Type Cluster of Scatterers

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Abstract

This correspondence presents a signal processing based alternate approach for simulating the flat fading narrowband wireless channels for the antenna array receivers under the time-varying environment, in which the discrete disk of scatterers is incorporated around the mobile wireless transmitter to model the spreading of azimuth. The disk-type cluster of scatterers continuously changes due to the movement of the mobile wireless transmitter. Under this time-varying environment, each scatterer, at the successive stages of the disk, is correlated with the scatterers at the preceding stages of the disk using the second-order autoregressive process AR(2). At the receiver, one signal waveform is associated with each element of the antenna array taking into account the spread in azimuth of the received signal. The correlation of the fading waveforms generated by using the presented paradigm is compared with the expected analytical correlation results, which clearly manifests that the simulation results are consistent with the findings based on Jakes’ model. Moreover, the presented discrete disk-type cluster of scatterers fading model may be used to generate/simulate the variable diameter ring-type cluster of scatterers fading paradigm. The proposed channel model may play a significant role in the emerging field of wireless signal processing for the latest mobile communication systems.

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References

  1. A. Abdi, M. Kaveh, A space-time correlation model for multielement antenna systems in mobile fading channels. IEEE J. Sel. Areas Commun. 20(3), 550–560 (2002)

    Article  Google Scholar 

  2. F. Adachi, M.T. Feeney, A.G. Williamson, J.D. Parsons, Crosscorrelation between the envelopes of 900 MHz signals received at a mobile radio base station site, in Proc. IEE Comm. Radar and Signal Process., vol. 133 (1986), pp. 506–512

    Google Scholar 

  3. S. Anderson, M. Millnert, M. Viberg, B. Wahlberg, An adaptive array for mobile communication systems. IEEE Trans. Veh. Technol. 40(1), 230–236 (1991)

    Article  Google Scholar 

  4. B.C. Banister, J.R. Zeidler, Tracking performance of RLS algorithm applied to an antenna array in a realistic fading environment. IEEE Trans. Signal Process. 50(5), 1037–1050 (2002)

    Article  MathSciNet  Google Scholar 

  5. P. Dent, G.E. Bottomley, T. Croft, Jakes’ model revisited. Electron. Lett. 29(13), 1162–1163 (1993)

    Article  Google Scholar 

  6. G.D. Durgin, T.S. Rappaport, Theory of multipath shape factors for small-scale fading wireless channels. IEEE Trans. Antennas Propag. 48(5), 682–693 (2000)

    Article  Google Scholar 

  7. V.T. Ermolayev, A.G. Flaksman, Y.L. Rodygin, Methods of defining the vector of adaptive processing in antenna arrays at short sample case. Int. J. Electron. 76(3), 497–510 (1994)

    Article  Google Scholar 

  8. R.B. Ertel, J.H. Reed, Generation of two equal power correlated Rayleigh fading envelopes. IEEE Commun. Lett. 2(10), 276–278 (1998)

    Article  Google Scholar 

  9. R.B. Ertel, P. Cardieri, K.W. Sowerby, T.S. Rappaport, J.H. Reed, Overview of spatial channel models for antenna array communication systems. IEEE Pers. Commun. 5(1), 10–22 (1998)

    Article  Google Scholar 

  10. B.H. Fleury, First- and second-order characterization of direction dispersion and space selectivity in the radio channel. IEEE Trans. Inf. Theory 46(6), 2027–2044 (2000)

    Article  MATH  Google Scholar 

  11. T.L. Fulghum, K.J. Molnar, A. Duel-Hallen, The Jakes fading model for antenna arrays incorporating azimuth spread. IEEE Trans. Veh. Technol. 51(5), 968–977 (2002)

    Article  Google Scholar 

  12. H.M. Ibrahimt, G.M. Abdel-Raheemt, Broad-band adaptive array processing using orthogonal functions. Int. J. Electron. 74(5), 753–763 (1993)

    Article  Google Scholar 

  13. W. Jakes, Microwave Mobile Communications (Wiley, New York, 1974)

    Google Scholar 

  14. S.T. Kim, J.H. Yoo, H.K. Park, A spatially and temporally correlated fading model for array antenna applications. IEEE Trans. Veh. Technol. 48(6), 1899–1905 (1999)

    Article  Google Scholar 

  15. A. Klouche-Djedid, M. Fujita, Adaptive array sensor processing applications for mobile telephone communications. IEEE Trans. Veh. Technol. 45(3), 405–416 (1996)

    Article  Google Scholar 

  16. A.K. Kohli, Fading model for antenna array receiver for a ring-type cluster of scatterers. Int. J. Electron. 98(7), 933–940 (2011)

    Article  Google Scholar 

  17. A.K. Kohli, D.K. Mehra, Tracking of time-varying channels using two-step LMS-type adaptive algorithm. IEEE Trans. Signal Process. 54(7), 2606–2615 (2006)

    Article  Google Scholar 

  18. A.K. Kohli, D.K. Mehra, Adaptive multiuser channel estimator using reduced Kalman/LMS algorithm. Wirel. Pers. Commun. 46(4), 507–521 (2008)

    Article  Google Scholar 

  19. A.K. Kohli, D.K. Mehra, Adaptive DFE multiuser receiver for CDMA systems using two-step LMS-type algorithm—an equalization approach. Wirel. Pers. Commun. 54(3), 543–558 (2010)

    Article  Google Scholar 

  20. W.C.Y. Lee, Mobile Communications Engineering (McGraw Hill, New York, 1982)

    Google Scholar 

  21. Y.J. Liang, J. Chang, D. Shin, Joint carrier frequency offset estimation and signal detection in MIMO BLAST systems. IEEE Trans. Veh. Technol. 58(6), 2783–2792 (2009)

    Article  Google Scholar 

  22. S.N. Nazar, W.P. Zhu, M.O. Ahmad, M.N.S. Swamy, A multiuser detection receiver using blind antenna array and adaptive parallel interference cancellation. Circuits Syst. Signal Process. 23(5), 409–432 (2004)

    Article  MATH  Google Scholar 

  23. K.I. Pedersen, P.E. Mogensen, B.H. Fleury, A stochastic model of the temporal and azimuthal dispersion seen at the base station in outdoor propagation environments. IEEE Trans. Veh. Technol. 49(2), 437–447 (2000)

    Article  Google Scholar 

  24. P. Petrus, J.H. Reed, T.S. Rappaport, Effects of directional antennas at the base station on the Doppler spectrum. IEEE Commun. Lett. 1(2), 40–42 (1997)

    Article  Google Scholar 

  25. V.I. Piterbarg, K.T. Wong, Spatial-correlation-coefficient at the base station, in closed-form explicit analytic expression, due to heterogeneously Poisson distributed scatterers. IEEE Antennas Wirel. Propag. Lett. 4(1), 385–388 (2005)

    Article  Google Scholar 

  26. J. Salz, J.H. Winters, Effect of fading correlation on adaptive arrays in digital mobile radio. IEEE Trans. Veh. Technol. 43(4), 1049–1057 (1994)

    Article  Google Scholar 

  27. S.P. Stapleton, X. Carbo, T. McKeen, Spatial channel simulator for phased arrays, in Proc. of IEEE Veh. Tech. Conference, vol. 3, Stockholm (1994), pp. 1789–1792

    Google Scholar 

  28. J.S. Thompson, P.M. Grant, B. Mulgrew, Smart antenna arrays for CDMA systems. IEEE Pers. Commun. 3(5), 16–25 (1996)

    Article  Google Scholar 

  29. H.S. Wang, P. Chang, On verifying the first-order Markovian assumption for a Rayleigh fading channel model. IEEE Trans. Veh. Technol. 45(2), 353–357 (1996)

    Article  Google Scholar 

  30. H.Y. Wu, A. Duel-Hallen, On the performance of coherent and noncoherent multiuser detectors for mobile radio CDMA channels, in Proc. IEEE Int. Conf. on Universal Personal Comm., vol. 1, Cambridge, MA (1996), pp. 76–80

    Chapter  Google Scholar 

  31. P.H. Wu, A. Duel-Hallen, Multiuser detectors with disjoint Kalman channel estimators for synchronous CDMA mobile radio channels. IEEE Trans. Commun. 48(5), 752–756 (2000)

    Article  Google Scholar 

  32. Z. Yan, A.M. Sayeed, Probability of error and capacity of multipolarization antenna systems for downlink mobile communications. IEEE Trans. Veh. Technol. 55(1), 256–269 (2006)

    Article  Google Scholar 

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Acknowledgements

Mr. Surjeet Singh is thankful to Mr. Divneet Singh Kapoor, Assistant Professor, Electronics and Communication Engineering Department, Chandigarh Group of Colleges, Gharuan, Mohali, India for his fruitful suggestions and motivational technical discussions regarding the time-varying wireless fading channel modeling.

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Correspondence to Amit Kumar Kohli.

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Singh, S., Kohli, A.K. Wireless Fading Paradigm for Antenna Array Receiver for a Disk-Type Cluster of Scatterers. Circuits Syst Signal Process 33, 1231–1244 (2014). https://doi.org/10.1007/s00034-013-9685-1

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  • DOI: https://doi.org/10.1007/s00034-013-9685-1

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