Conditions of Rice statistical model applicability and estimation of the Rician signal’s parameters by maximum likelihood technique

 pdf (413K)  / Annotation

List of references:

  1. М. Абрамовиц, И. Стиган. Справочник по специальным функциям. — М: Наука, 1979.
  2. Е. С. Вентцель. Теория вероятностей. — М: «Академия», 2005. — 576 с. — 10-ое изд., стер.
  3. A. И. Перов. Статистическая теория радиотехнических систем. — М: Радиотехника, 2003. — 400 с.
  4. C. F. M. Carobbi, M. Cati. The absolute maximum of the likelihood function of the Rice distribution: existence and uniqueness // IEEE Trans. on Instrumentation and Measurement. — 2008. — V. 57, no. 4. — P. 682–689. — DOI: 10.1109/TIM.2007.913823.
  5. C. F. M. Carobbi, M. Cati, L. M. Millanta. A New Procedure for Evaluating the Performance of the Site for Radiation Test or Antenna Calibration / EMC Europe 2004 International Symposium on Electromagnetic Compatibility. — Symposium Record. — 2004. — V. 2. — P. 702–706. — Eindhoven, The Netherlands, Sep. 6–10.
  6. S. J. Garnier, G. L. Bilbro. Magnetic resonance image restoration // J. Math. Imag. — 1995. — V. 5. — P. 7–19. — DOI: 10.1007/BF01250250.
  7. H. Gudbjartsson, S. Patz. The Rician distribution of noisy MRI data // Magn. Reson. Med. — 1995. — V. 34. — P. 910–914. — DOI: 10.1002/mrm.1910340618.
  8. Hendee W. R., C. J. Morgan. Magnetic Resonance Imaging Part I—Physical Principles // West J Med. — 1984. — V. 141, no. 4. — P. 491–500.
  9. R. M. Henkelman. Measurement of signal intensities in the presence of noise in MR images // Med. Phys. — 1985. — V. 12, no. 2. — P. 232–233. — DOI: 10.1118/1.595711.
  10. J. I. Marcum, P. Swelling. Studies of target detection by pulsed radar // IRE Trans. Information. — 1960. — V. IT-6. — MathSciNet: MR0112570.
  11. S. O. Rice. Mathematical Analysis of Random Noise // Bell System Technical Journal. — 1945. — V. 24. — P. 46–156. — DOI: 10.1002/j.1538-7305.1945.tb00453.x. — MathSciNet: MR0011918.
  12. J. Sijbers, A. J. den Dekker. Maximum Likelihood estimation of signal amplitude and noise variance from MR data // Magn. Reson. Med. — 2004. — V. 51, no. 3. — P. 586–594. — DOI: 10.1002/mrm.10728.
  13. J. Sijbers, A. J. den Dekker, P. Scheunders, D. V. Dyck. Maximum-Likelihood Estimation of Rician Distribution Parameters // IEEE Transactions on Medical Imaging. — 1998. — V. 17, no. 3. — P. 357–361. — DOI: 10.1109/42.712125.
  14. G. L. Stuber. Principles of Mobile Communication. — Norwell, MA: Kluwer, 2001.
  15. K. K. Talukdar, W. D. Lawing. Estimation of the parameters of Rice distribution // J. Acoust. Soc. Amer. — 1991. — V. 89, no. 3. — P. 1193–1197. — DOI: 10.1121/1.400532. — ads: 1991ASAJ...89.1193T.
  16. T. Wang, T. Lei. Statistical analysis of MR imaging and its application in image modeling / Proc. IEEE Int. Conf. Image Processing and Neural Networks. — 1994. — V. I. — P. 866–870.
  17. T. V. Yakovleva, N. S. Kulberg. Noise and Signal Estimation in MRI: Two-Parametric Analysis of Rice-Distributed Data by Means of the Maximum Likelihood Approach // American Journal of Theoretical and Applied Statistics. — 2013. — V. 2, no. 3. — P. 67–79. — DOI: 10.11648/j.ajtas.20130203.15.

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"