A complex generalized Gaussian distribution - Characterization, generation, and estimation

IEEE Transactions on Signal Processing

Volumn 58, Issue 3 PART 1, 2010, Pages 1427-1433

  Novey, Mike ^a   Adali, Tülay ^a   Roy, Anindya ^a  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

Complex valued signal processing; Generalized Gaussian distribution (GGD); Maximum likelihood estimation (MLE)

Indexed keywords

COMPLEX DOMAINS; COMPLEX-VALUED SIGNAL; COVARIANCE PARAMETERS; DATA MODELING; GENERALIZED GAUSSIAN DISTRIBUTION; GENERALIZED GAUSSIAN DISTRIBUTIONS; MAXIMUM LIKELIHOOD ESTIMATION (MLE); PROBABILITY DENSITY FUNCTION (PDF); RADAR DATA; RANDOM NUMBERS;

COMPUTER SIMULATION; ESTIMATION; GAUSSIAN DISTRIBUTION; PROBABILITY DENSITY FUNCTION; RANDOM NUMBER GENERATION; SIGNAL PROCESSING;

MAXIMUM LIKELIHOOD ESTIMATION;

EID: 78349264128     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2036049     Document Type: Article

References (22)

1. M. S. Davis, P. Bidigare, and D. Chang, "Statistical modeling and ML parameter estimation of complex SAR imagery," in Proc. Asilomar Conf. Signals, Syst. Comput., Nov. 2007, pp. 500-502.
2. O. Bernard, J. D'Hooge, and D. Fribouler, "Statistical modeling of the radio-frequency signal in echocardiographic images based on generalized Gaussian distribution," in Proc. 3rd IEEE Int. Symp. Biomed. Imag.: Nano to Macro, Arlington, VA, Apr. 2006, pp. 153-156. (Pubitemid 44732275)
3. D. Gonzalez-Jimenez, F. Perez-Gonzalez, P. Comesana-Alfaro, L. Perez-Freire, and J. L. Alba-Castro, "Modeling Gabor coefficients via generalized Gaussian distributions for face recognition," in Proc. IEEE Int. Conf. Image Process., San Antonio, TX, Oct. 2007, vol. 4, pp. 485-488.
4. M. O. Mohamed Mahmoud, M. Jaidane-Saidane, J. Souissi, and N. Hizaoui, "Modeling of the load duration curve using the asymmetric generalized Gaussian distribution: Case of the Tunisian power system," in Proc. IEEE Power and Energy Soc. Gen. Meet.-Convers. Deliv. Elect. Energy in the 21st Century, Pittsburgh, PA, Jul. 2008, pp. 1-7.
5. M. Do and M. Vetterli, "Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance," IEEE Trans. Image Process., vol. 11, no. 2, pp. 146-158, Feb. 2002. (Pubitemid 34278451)
6. M. Novey and T. Adali, "Adaptable nonlinearity for complex maximization of nongaussianity and a fixed-point algorithm," in Proc. IEEE Workshop on Machine Learn. Signal Process. (MLSP),Maynooth, Ireland, Sep. 2006, pp. 79-84. (Pubitemid 351210485)
7. J. Cao and N. Murata, "A stable and robust ICA algorithm based on t-distribution and generalized Gaussian distribution models," in Proc. IEEE Signal Process. Soc. Workshop on Neural Netw. Signal Process., Madison, WI, Aug. 1999, pp. 283-292. (Pubitemid 30510384)
8. Z. Koldovsk, Y. Tichavsk, and E. Oja, "Efficient variant of algorithm fastICA for independent component analysis attaining the Cramer-Rao lower bound," IEEE Trans. Neural Netw., vol. 17, no. 5, pp. 1265-1277, 2006. (Pubitemid 46445183)
9. N. Johnson and S. Kotz, Distributions in Statistics-Continuous Univariate Distributions-2. Boston, MA: Houghton Mifflin, 1970.
10. T. Taguchi, "On a generalization of Gaussian distribution," Ann. Inst. Statist. Math., vol. 30, pp. 211-242, 1978.
11. M. Coban and R. Mersereau, "Adaptive subband video coding using bivariate generalized Gaussian distribution model," in Proc. ICASSP, Atlanta, GA, May 1996, vol. 4, pp. 1990-1993.
12. B. Picinbono, "Second-order complex random vectors and normal distributions," IEEE Trans. Signal Process., vol. 44, no. 10, pp. 2637-2640, Oct. 1996. (Pubitemid 126776569)
13. A. van den Bos, "The multivariate complex normal distribution-A generalization," IEEE Trans. Inf. Theory, vol. 41, no. 2, pp. 537-539, Mar. 1995.
14. E. Ollila and V. Koivunen, "Adjusting the generalized likelihood ratio test of circularity robust to non-normality," in Proc. IEEE Int.Workshop Signal Process., Perugia, Italy, Jun. 2009.
15. B. Picinbono, "On circularity," IEEE Trans. Signal Process., vol. 42, pp. 3473-3482, Dec. 1994.
16. P. J. Schreier and L. L. Scharf, "Second-order analysis of improper complex random vectors and processes," IEEE Trans. Signal Process., vol. 51, pp. 714-725, Mar. 2003.
17. J. Eriksson and V. Koivunen, "Complex random vectors and ICA models: Identifiability, uniqueness, and separability," IEEE Trans. Inf. Theory, vol. 52, no. 3, pp. 1017-1029, Mar. 2006. (Pubitemid 46444889)
18. P. Schreier, "The degree of impropriety (noncircularity) of complex random vectors," in Proc. ICASSP, Las Vegas, NV, Apr. 2008, pp. 3909-3912.
19. A. van den Bos, "Complex gradient and Hessian," Inst. Elect. Eng. Proc. Image Signal Process., vol. 141, pp. 380-382, Dec. 1994.
20. T. Adali, H. Li, M. Novey, and J.-F. Cardoso, "Complex ICA using nonlinear functions," IEEE Trans. Signal Process., vol. 56, pp. 4536-4544, Sep. 2008.
21. M. Varanassi and B. Aazhang, "Parametric generalized Gaussian density estimation," J. Acoust. Soc. Amer., vol. 85, pp. 1404-1415, Oct. 1989.
22. S. Haykin, Adaptive Radar Signal Processing. Hoboken, NJ: Wiley, 2007.