Interactive Kalman Filtering for Differential and Gaussian Frequency Shift Keying Modulation with Application in Bluetooth

Abstract

Some applications are constrained only to implement low cost receivers. In this case, designers are required to use less complex and non-expensive modulation techniques. Differential Quadrature Phase Shift Keying (DQPSK) and Gaussian Frequency Shift Keying (GFSK) can be non-coherently demodulated with simple algorithms. However, these types of demodulation are not robust and suffer from poor performance. This paper proposes a new method to enhance the performance of DQPSK and GFSK using Interactive Kalman Filtering (IKF) technique, in which a one Unscented Kalman Filter (UKF) and two Kalman Filters (KF) are coupled to optimize the demodulated signals. This method consists of simple but very effective algorithms without adding complexity to the demodulators comparing to other very complex methods. UKF is used in this method due to its superiority in approximating and estimating nonlinear systems and its ability to handle non-Gaussian noise environments. The proposed method has been validated by creating a MATLAB/SIMULINK Bluetooth system model, in which the IKF is integrated into the receiver, which implement both DQPSK and GFSK, and run simulation in Gaussian and Non-Gaussian noise environments. Results have shown the effectiveness of this method in optimizing the received signals, and that the UKF outperforms the Extended Kalman Filter (EKF).

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M. Ali and M. Zohdy, "Interactive Kalman Filtering for Differential and Gaussian Frequency Shift Keying Modulation with Application in Bluetooth," Journal of Signal and Information Processing, Vol. 3 No. 1, 2012, pp. 63-76. doi: 10.4236/jsip.2012.31009.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] J. Proakis and M. Salehi, “Digital Communications,” 5th Edition, McGraw-Hill Higher Education, New York, 2008.
[2] M. Morelli, D. Benfatto, D. Lucano, M. Luise and U. Mengali, “Simple Non-Coherent Detectors for CPM Signals Transmitted over Rayleigh Flat-Fading Channels,” Proceedings of the 4th IEEE Workshop on Signal Processing Advances in Wireless Communications, Rome, 15-18 June 2003, pp. 492-496.
[3] W. P. Osborne and M. B. Luntz, “Coherent and Noncoherent Detection of CPFSK,” IEEE Transactions on Communications, Vol. 22, No. 8, 1974, pp. 1023-1036. doi:10.1109/TCOM.1974.1092333
[4] Bluetooth Special Interest Group (SIG), “Specification of the Bluetooth System, Core Version 4.0,” 2010. http://www.bluetooth.com
[5] A. G. Soltanian and R. E. Van Dyck, “Performance of the Bluetooth System in Fading Dispersive Channels and Interference,” Proceedings of the IEEE Global Telecommunications Conference, Vol. 6, 25-29 November 2001, pp. 3499-3503.
[6] T. Aulin and C.-E. Sundbergm, “Continuous Phase Modulation-Part I: Full Response Signaling,” IEEE Transactions on Communications, Vol. 29, No. 3, 1981, pp. 196-209. doi:10.1109/TCOM.1981.1095001
[7] L. Bin and P. Ho, “Data-Aided Linear Prediction Receiver for Coherent DPSK and CPM Transmitted over Rayleigh Flat-Fading Channels,” IEEE Transactions on Vehicular Technology, Vol. 48, No. 4, 1999, pp. 1229-1236. doi:10.1109/25.775371
[8] J. Anderson, T. Aulin and C. Sundbergm, “Digital Phase Modulation,” Plenum Press, New York, 1986.
[9] N. Ibrahim, L. Lampe and R. Schober, “Bluetooth Receiver Design Based on Laurent’s Decomposition,” IEEE Transactions on Vehicular Technology, Vol. 56, No. 4, 2007, pp. 1856-1862. doi:10.1109/TVT.2007.897187
[10] M. Nafie, A. Gatherer and A. Dabak, “Decision Feedback Equalization for Bluetooth Systems,” Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Salt Lake City, May 2001, pp. 909-912.
[11] H. Leib, “Data-Aided Noncoherent Demodulation of DPSK,” IEEE Transaction on Communications, Vol. 43, No. 234, 1995, pp. 722-725. doi:10.1109/26.380098.
[12] J. He, J. Cui, L. Yang and Z. Wang, “A Low-Complexity High-Performance Noncoherent Receiver for GFSK Signals,” Proceedings of the IEEE International Symposium on Circuits and Systems, Seattle, 18-21 May 2008, pp. 1256-1259.
[13] J. Gal, A. Campeanu and J. Nafornita, “Noncoherent Demodulation of Continuous Phase Modulated Signals Using Extended Kalman Filtering,” Proceedings of the IEEE 12th International Conference on Optimization of Electrical and Electronic Equipment, Basov, 20-22 May 2010, pp. 724-727.
[14] J. Gal, A. Campeanu and J. Nafornita, “Kalman Noncoherent Detection of CPFSK Signals,” Proceedings of the 8th International Conference Communications, Bucharest, 10-12 June 2010, pp. 65-68.
[15] O. Loffeld, “Demodulation of Noisy Phase or Frequency Modulated Signals with Kalman Filters,” Proceedings of the IEEE Acoustics, Speech, and Signal Processing, Adelaide, 19-22 April 1994, pp. IV/177-IV/180.
[16] R. E. Kalman, “A New Approach to Linear Filtering and Prediction Problems,” Research Institute for Advanced Study, Baltimore, 1960.
[17] M. S. Grewal and A. P. Andrews, “Kalman Filtering Theory and Practice Using MATLAB,” 3rd Edition, John Wiley & Sons, Inc, New York, 2008.
[18] J. Candy, “Bayesian Signal Processing Classical, Modern, and Particle Filtering Methods,” John Wiley & Sons, Inc, New York, 2009.
[19] D. Simon, “Optimal State Estimation, Kalman H∞, and Nonlinear Approaches,” John Wiley & Sons, Inc, New York, 2009.
[20] S. J. Julier and J. K. Uhlmann, “A New Extension of the Kalman Filter to Nonlinear Systems,” The 11th International Symposium of Aerospace/Defense Sensing, Simulation and Controls, Multi Sensor Fusion, Tracking and Resource Management II, Orlando, 20-25 April 1997, pp. 182-193.
[21] R. V. D. Merwe, “Sigma-Point Kalman Filters for Probabilistic Inference in Dynamic State-Space Models,” Ph.D. Thesis, OGI School of Science & Engineering at Oregon Health & Science University, 2004.
[22] S. J. Julier and J. K. Uhlmann, “Unscented Filtering and Nonlinear Estimation,” Proceedings of the IEEE, Vol. 92, No. 3, 2004, pp. 401-422. doi:10.1109/JPROC.2003.823141
[23] S. J. Julier, “The Scaled Unscented Transformation,” Proceedings of the 2002 American Control Conference, Vol. 6, 2002, pp. 4555-4559.
[24] S. J. Julier and J. K. Uhlmann, “Reduced Sigma Point Filters for the Propagation of Means and Covariances through Nonlinear Transformations,” Proceedings of the 2002 American Control Conference, Vol. 2, 2002, pp. 887-892.
[25] S. J. Julier and J. K. Uhlmann, “The Spherical Simplex Unscented Transformation,” Proceedings of the American Control Conference, Denver, 4-6 June 2003, pp. 2430-2434. doi:10.1109/ACC.2003.1243439
[26] M. Ali and M. Zohdy, “Unscented Kalman Filtering for Continuous Phase Frequency Shift Keying Equalization”, Proceedings of the International Conference on Information and Industrial Electronics, Chengdu, 14-15 January 2011, pp. 20-25.
[27] T. S. Rappaport, “Wireless Communications Principles and Practice,” 2nd Edition, Prentice Hall, Upper Saddle River, 2002.
[28] C.-E. Sundberg, “Continuous Phase Modulation,” IEEE Communications Magazine, Vol. 24, No. 4, 1986, pp. 25-38. doi:10.1109/MCOM.1986.1093063
[29] D. Labarre, E. Grivel, Y. Berthoumieu, E. Todini and M. Najim, “Consistent Estimation of Autoregressive Parameters from Noisy Observation Based on Two Interacting Kalman Filters,” Signal Processing, Vol. 86, No. 10, 2006, pp. 2863-2876.
[30] A. Jamoos, A. Abdo and H. Nour, “Estimation of OFDM Time-Varying Fading Channels Based on Two-Cross-Coupled Kalman Filters,” Novel Algorithms and Technique in Telecommunications, Automation and Industrial Electronics, 2008, pp. 287-292. http://www.springerlink.com/content/978-1-4020-8736-3/#section=135616&page=1&locus=21
[31] E. Punskaya, C. Andrieu, A. Doucet and W. J. Fitzgerald, “Particle Filtering for Demodulation in Fading Channels with Non-Gaussian Additive Noise,” IEEE Transaction on Communications, Vol. 49, No. 4, 2001, pp. 579-582. doi:10.1109/26.917760
[32] L. Binh, “MATLAB Simulink Simulation Platform for Photonic Transmission Systems,” International Journal of Communications, Network and System Sciences, Vol. 2, 2009, pp. 91-168.

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