Signal and noise parameters’ determination at rician data analysis by method of moments of lower odd orders

Yakovleva T.V.
 pdf (2237K)  / Annotation

List of references:

  1. Справочник по специальным функциям. — М: Наука, 1979. — Абрамовиц М., Стиган И.
    • Handbook of mathematical functions with formulas, graphs and mathematical tables. — Moscow: Nauka, 1979. — Abramowitz M., Stegun I. A. — in Russian. — MathSciNet: MR1225604. — zbMATH: Zbl 0515.33001.
  2. Т. В. Яковлева. Обзор методов обработки магнитно-резонансных изображений и развитие нового двухпараметрического метода моментов // Компьютерные исследования и моделирование. — 2014. — Т. 6, № 2. — С. 231–244. — DOI: 10.20537/2076-7633-2014-6-2-231-244
    • T. V. Yakovleva. Review of MRI processing techniques and elaboration of a new two-parametric method of moments // Computer Research and Modeling. — 2014. — V. 6, no. 2. — P. 231–244. — in Russian. — DOI: 10.20537/2076-7633-2014-6-2-231-244
  3. Т. В. Яковлева. Теоретическое обоснование математических методов совместного оценивания параметров сигнала и шума при анализе райсовских данных // Компьютерные исследования и моделирование. — 2016. — Т. 8, № 3. — С. 445–473. — DOI: 10.20537/2076-7633-2016-8-3-445-473
    • T. V. Yakovleva. Theoretical substantiation of the mathematical techniques for joint signal and noise estimation at rician data analysis // Computer Research and Modeling. — 2016. — V. 8, no. 3. — P. 445–473. — in Russian. — DOI: 10.20537/2076-7633-2016-8-3-445-473
  4. T. R. Benedict, T. T. Soong. The joint estimation of signal and noise from the sum envelope // IEEE Trans. Inf. Theory. — 1967. — V. IT-13, no. 3. — P. 447–454. — DOI: 10.1109/TIT.1967.1054037.
  5. 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.
  6. J. H. Park, Jr. . Moments of generalized Rayleigh distribution // Q. Appl. Math. — 1961. — V. 19, no. 1. — P. 45–49. — DOI: 10.1090/qam/119222. — MathSciNet: MR0119222. — zbMATH: Zbl 0101.11702.
  7. 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. — zbMATH: Zbl 0063.06487.
  8. Sijbers J., 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.
  9. 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.
  10. 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.

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"

Copyright © 2009–2024 Institute of Computer Science