References & Further Reading

References

  1. H. L. Van Trees, Detection, Estimation, and Modulation Theory, Part I, Wiley, 1968

    Original introduction of the Bayesian Cramer-Rao (Van Trees) inequality.

  2. H. L. Van Trees and K. L. Bell (Eds.), Bayesian Bounds for Parameter Estimation and Nonlinear Filtering/Tracking, Wiley-IEEE Press, 2007

    Comprehensive treatment of Bayesian CRLB, Weiss-Weinstein, and Ziv-Zakai bounds.

  3. R. D. Gill and B. Y. Levit, Applications of the van Trees inequality: a Bayesian Cramer-Rao bound, 1995
  4. K. L. Bell, Y. Steinberg, Y. Ephraim, and H. L. Van Trees, Extended Ziv-Zakai lower bound for vector parameter estimation, 1997
  5. J. Ziv and M. Zakai, Some lower bounds on signal parameter estimation, 1969
  6. S. Bellini and G. Tartara, Bounds on error in signal parameter estimation, 1974
  7. E. Weinstein and A. J. Weiss, A general class of lower bounds in parameter estimation, 1988
  8. A. J. Weiss and E. Weinstein, Fundamental limitations in passive time delay estimation — Part I: Narrow-band systems, 1983
  9. D. Guo, S. Shamai, and S. Verdu, Mutual information and minimum mean-square error in Gaussian channels, 2005
  10. D. Guo, Y. Wu, S. Shamai, and S. Verdu, Estimation in Gaussian noise: Properties of the minimum mean-square error, 2011
  11. F. Liu, C. Masouros, A. P. Petropulu, H. Griffiths, and L. Hanzo, Integrated sensing and communications: Toward dual-functional wireless networks for 6G and beyond, 2022
  12. Y. Xiong, F. Liu, Y. Cui, W. Yuan, T. X. Han, and G. Caire, On the fundamental tradeoff of integrated sensing and communications under Gaussian channels, 2023
  13. S. Buzzi, C. D'Andrea, M. Lops, and A. Zappone, Performance bounds for joint radar-communication systems, 2023
  14. M. Kobayashi, G. Caire, and G. Kramer, Joint state sensing and communication: Optimal tradeoff for a memoryless case, 2018
  15. D. Tse and P. Viswanath, Fundamentals of Wireless Communication, Cambridge University Press, 2005
  16. 3GPP, NG Radio Access Network (NG-RAN); Stage 2 functional specification of User Equipment (UE) positioning in NG-RAN, 2023

    Positioning bounds and measurement reports in 5G NR.

  17. S. M. Kay, Fundamentals of Statistical Signal Processing, Volume I: Estimation Theory, Prentice-Hall, 1993
  18. G. Caire, R. Chopra, Replica-based MMSE analysis for uplink massive MIMO, 2022
  19. G. Caire, Y. Xiong, F. Liu, Fundamental limits of ISAC: Rate-distortion tradeoff, 2023
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