Design of Low Update Rate Phase Locked Loops with Application to Carrier Tracking in OFDM Systems

  • 발행 : 2005.09.01

초록

In this paper, we develop design procedures for carrier tracking loop for orthogonal frequency division multiplexing (OFDM) systems or other systems of blocked data. In such communication systems, phase error measurements are made infrequent enough to invalidate the traditional loop design methodology which is based on analog loop design. We analyze the degradation in the OFDM schemes caused by the tracking loop and show how the performance is dependent on the rms phase error, where we distinguished between the effect of the variance in the average phase over the symbol and the effect of the phase change over the symbol. We derive the optimal tracking loop including optional delay in the loop caused by processing time. Our solution is general and includes arbitrary phase noise apd additive noise spectrums. In order to guarantee a well behaved solution, we have to check the design against margin constraints subject to uncertainties. In case the optimal loop does not meet the required margin constraints subjected to uncertainties, it is shown how to apply a method taken from control theory to find a controller. Alternatively, if we restrict the solution to first or second order loops, we give a simple loop design procedure which may be sufficient in many cases. Extensions of the method are shown for using both pilot symbols and data symbols in the OFDM receiver for phase tracking. We compare our results to other methods commonly used in OFDM receivers and we show that a large improvement can be gained.

키워드

참고문헌

  1. O. Yaniv and D. Raphaeli 'Near optimal PLL design for decision feedback carrier and timing recovery,' IEEE Trans. Commun., vol. 49, no. 9, pp. 1669-1678, Sept. 2001 https://doi.org/10.1109/26.950353
  2. A. G. Armada and M. Calvo, 'Phase noise and sub-carrier spacing effects on the performance of an OFDM communication system,' IEEE Commun. Lett., vol. 2, pp. 11-13, Jan. 1998 https://doi.org/10.1109/4234.658613
  3. T. Pollet, M. Van Bladel, and M. Moeneclaey, 'BER sensitivity of OFDM systems to carrier frequency offset and Wiener phase noise,' IEEE Trans. Commun., vol. 43, pp. 191-193, Feb./Mar./Apr. 1995 https://doi.org/10.1109/26.380034
  4. C. Muschallik, 'Influence of RF oscillators on an OFDM signal,' IEEE Trans. Consumer Electron., vol. 41, pp. 592-603, Aug. 1995 https://doi.org/10.1109/30.468090
  5. L. Tomba, 'On the effect of Wiener phase noise in OFDM systems,' IEEE Trans. Commun., vol. 46, pp. 580-583, May 1998 https://doi.org/10.1109/26.668721
  6. P. Robertson and S. Kaiser, 'Analysis of the effects of phase-noise in orthogonal frequency division multiplex (OFDM) systems,' in Proc. IEEE ICC'95, Seattle, 18-22 June 1995, pp. 1652-1657 https://doi.org/10.1109/ICC.1995.524481
  7. M. Luise and R. Reggiannini, 'Carrier frequency acquisition and tracking for OFDM systems,' IEEE Trans. Commun., vol. 44, pp. 1590-1598, Nov. 1996 https://doi.org/10.1109/26.544476
  8. F. Classen and H. Meyr, 'Frequency synchronization algorithms for OFDM systems suitable for communication over frequency selective fading channels,' in Proc. IEEE VTC'94, 8-10 June 1994, pp. 1655-1659
  9. V. Mignone and A. Morello, 'CD3-OFDM: A novel demodulation scheme for fixed and mobile receivers,' IEEE Trans. Commun., vol. 44, pp. 1144-1151, Sept. 1996 https://doi.org/10.1109/26.536920
  10. U. Shaked, 'A general transfer function approach to the discrete-time steady-state linear quadratic Gaussian stochastic control problem,' Int. J. Control, vol. 29, no. 3, pp. 361-386, 1979 https://doi.org/10.1080/00207177908922704
  11. O. Yaniv, Quantitative Feedback Design of Linear and Nonlinear Control Systems, Kluwer Academic Publisher, 1999
  12. K. J. Astrom and B. Wittenmark, Computer-Controlled Systems Theory and Design, 3rd ed., Prentice-hall, 1997
  13. G. H. Martin, 'Designing phase-locked loops,' R. F. Design, vol. 20, no. 5, pp. 56, 58, 60, 62, 1997
  14. J. C. Doyle, B. A. Francis, and A. R. Tannenbaum, Feedback Control Theory, NY: Macmillan Publishing Company, 1992