References

How to cite LYCIA:

LYCIA ((LibrarY of Complex Independent component analysis Algorithms)

MLSP-Lab, University of Maryland Baltimore County, Baltimore, MD, 2011
http://mlsp.umbc.edu/lycia/lycia.html

Sources

Complex GGD

M. Novey, T. Adali, and A. Roy, "A complex generalized Gaussian distribution- characterization,generation, and estimation," IEEE Trans. Signal Processing, vol. 58, no. 3, part. 1, pp. 1427-1433, March 2010.

Complex Kotz

S. Nadarajah, "The Kotz-type Distribution with Applications," Statistics, vol. 37, no. 4, pp. 341-358, July 2003.

QAM/BPSK

M. Novey and T. Adali, " Complex fixed-point ICA algorithm for separation of QAM sources using Gaussian mixture model," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing (ICASSP), Honolulu, Hawaii, April 2007.

Algorithms

SUT

J. Eriksson and V. Koivunen, "Complex-valued ICA using second order statistics," in Proc. IEEE Workshop on Machine Learning for Signal Processing (MLSP), Sao Luis, Brazil, pp. 183-192 , Sept. 2004.

GUT

E. Ollila and V. Koivunen, "Complex ICA using generalized uncorrelating transform," IEEE Trans. on Signal Processing, vol. 89, no. 4, pp.365-377, 2006.

SOBI

A. Belouchrani, K. Abed Meraim, J. F. Cardoso, and E. Moulines, "A blind source separation technique based on second order statistics," IEEE Trans. Signal Processing, vol. 45, no. 2, pp. 434 - 444, 1997.

ERM-G and ncSOBI

X.-L. Li and T. Adali, "Blind Separation of complex noncircular stationary Gaussian sources," IEEE Trans. Signal Processing, in review.

A-CMN

M. Novey and T. Adali, "Adaptable nonlinearity for complex maximization of nongaussianity and a fixed-point algorithm," in Proc. IEEE Workshop on Machine Learning for Signal Processing (MLSP), Maynooth, Ireland, pp. 79-84, Sep. 2006.

T-CMN

M. Novey and T. Adali, "Complex ICA by negentropy maximization," IEEE Trans. Neural Networks, vol. 19, no. 4, pp. 596-609, April 2008.

Circular complex FastICA

E. Bingham and A. Hyvarinen, "A fast fixed-point algorithm for independent component analysis of complex valued signals," International Journal of Neural Systems, vol. 10, no. 1, pp. 1-8, 2000.

Noncircular complex FastICA

M. Novey and T. Adali, "On extending the complex FastICA algorithm to noncircular sources, " IEEE Trans. Signal Processing, vol. 56, no. 5, pp. 2148-2154, May 2008.

C-QAM

JADE

J. F. Cardoso and A. Souloumiac, "Blind beamforming for nongaussian signals," IEEE Trans. Signal Processing, vol. 140, no.6, pp. 362-370, 1993.

CFPA

S. C. Douglas, "Fixed-point algorithms for the blind separation of arbitrary complex-valued non-Gaussian signal mixtures," EURASIP Journal on Applied Signal Processing, vol. 2007, no. 1, pp. 83-83, 2007.

Fixed point KM

H. Li and T. Adali, " A class of complex ICA algorithms based on the kurtosis cost function," IEEE Trans. Neural Networks, vol. 19, no. 3, pp. 408-420, March 2008.

Complex likelihood maximization

T. Adali, H. Li, M. Novey, and J.-F. Cardoso, "Complex ICA using nonlinear functions," IEEE Trans. Signal Processing, vol. 56, no. 9, pp. 4536 -4544, Sept. 2008.

Nonlinear decorrelations

T. Adali, T. Kim, and V. Calhoun, "Independent component analysis by complex nonlinearities," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing (ICASSP), Montreal, Canada, May 2004, vol. 5, pp. 525-528.

Complex ICA-EBM

X.-L. Li and T. Adali, "Complex independent component analysis by entropy bound minimization," IEEE Trans. Circuits and Systems I, vol. 57, no. 7, pp. 1417-1430, July 2010.

RobustICA

V. Zarzoso and P. Comon, "Robust Independent Component Analysis by Iterative Maximization of the Kurtosis Contrast with Algebraic Optimal Step Size," IEEE Trans. Neural Networks, vol. 21, no. 2, pp. 248-261, February 2010.

A complete reference for complex GGD generation, A-CMN, T-CMN, and C-QAM algorithms

M. Novey, "Complex ICA using Nonlinear Functions," Ph.D. Thesis, University of Maryland Graduate School, Baltimore, MD, 2009.