The absolute maximum of the likelihood function of the rice distribution: Existence and uniqueness

IEEE Transactions on Instrumentation and Measurement

Volumn 57, Issue 4, 2008, Pages 682-689

  Carobbi, Carlo F M ^a   Cati, Marco ^b  

^a UNIVERSITY OF FLORENCE   (Italy)

^b Esaote   (Italy)

Author keywords

Envelope detection; Gaussian noise; Maximum likelihood (ML) estimation; Parameters estimation; Rice probability density function (pdf)

Indexed keywords

MAXIMUM LIKELIHOOD ESTIMATION; NUMERICAL ANALYSIS; OPTIMIZATION; PARAMETER ESTIMATION;

ENVELOPE DETECTION; RICE PROBABILITY DENSITY FUNCTION;

PROBABILITY DENSITY FUNCTION;

EID: 41549103697     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIM.2007.913823     Document Type: Article

References (15)

1. Application Note 150, Spectrum Analysis Basics, 1989, Rohnert Park, CA: Hewlett-Packard, pp. 11 and 40.
2. R. M. Henkelman, "Measurement of signal intensities in the presence of noise in MR images," Med. Phys., vol. 12, no. 2, pp. 232-233, Mar. 1985.
3. G. L. Stuber, Principles of Mobile Communication. Norwell, MA: Kluwer, 2001.
4. K. K. Talukdar and W. D. Lawing, "Estimation of the parameters of the Rice distribution," J. Acoust. Soc. Amer., vol. 89, no. 3, pp. 1193-1197, Mar. 1991.
5. C. F. M. Carobbi, L. M. Millanta, and M. Cati, "A new procedure for evaluating the performance of the sites for radiation tests or antenna calibration," in Proc. Int. Symp. EMC Eur., Eindhoven, The Netherlands, Sep. 6-10, 2004, pp. 702-706.
6. A. A. Moulthrop, and M. S. Muha, "Accurate measurement of signals close to the noise floor on a spectrum analyzer," IEEE Trans. Microw. Theory Tech., vol. 39, no. 11, pp. 1882-1885, Nov. 1991.
7. D. A Hill and D. P. Haworth, "Accurate measurement of low signal-to-noise ratios using a superheterodyne spectrum analyzer," IEEE Trans. Instrum. Meas., vol. 39, no. 2, pp. 432-435, Apr. 1990.
8. T. R. Benedict and T. T. Soong, "The joint estimation of signal and noise from the sum envelope," IEEE Trans. Inf. Theory, vol. IT-13, no. 3, pp. 447-454, Jul. 1967.
9. J. Sijbers, A. J. den Dekker, P. Scheunders, and D. Van Dyck, "Maximum-likelihood estimation of Rician distribution parameters," IEEE Trans. Med. Imag., vol. 17, no. 3, pp. 357-361, Jun. 1998.
10. A. Abdi et al., "On the estimation of the K parameter for the Rice fading distribution," IEEE Commun. Lett., vol. 5, no. 3, pp. 92-94, Mar. 2001.
11. J. Sijbers and A. J. den Dekker, "Maximum likelihood estimation of signal amplitude and noise variance from MR data," Magn. Reson. Med. vol. 51, no. 3, pp. 586-594, 2004.
12. T. L. Marzetta, "EM algorithm for estimating the parameters of a multivariate complex Rician density for polarimetric SAR," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Detroit, MI, 1995, pp. 3651-3654.
13. J. H. Park, Jr., "Moments of the generalized Rayleigh distribution," Q. Appl. Math., vol. 19, no. 1, pp. 45-49, 1961.
14. R. Deutsch, Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1965.
15. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions New York: Dover, 1970. 9th Printing.