On the degree of second-order non-circularity of complex random variables

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn , Issue , 2008, Pages 3905-3908

  Delmas, Jean Pierre ^a   Abeida, Habti ^a  

^a INSTITUT TELECOM   (France)

Author keywords

Canonical correlations; Circular noncircular; Circularity spectrum; Coherence matrix; Proper improper; Rectilinear signal

Indexed keywords

CANONICAL CORRELATIONS; CIRCULAR/NONCIRCULAR; CIRCULARITY SPECTRUM; COHERENCE MATRIX; PROPER/IMPROPER; RECTILINEAR SIGNAL;

ACOUSTICS; DISTRIBUTION FUNCTIONS; MAXIMUM LIKELIHOOD ESTIMATION; RANDOM PROCESSES; SIGNAL PROCESSING; SPEECH;

CLUSTER ANALYSIS;

EID: 51449118129     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2008.4518507     Document Type: Conference Paper

References (14)

1. PJ. Schreier and L. Scharf, "Second-order Analysis of improper complex random vectors and processes," IEEE Trans. on Signal Processing, vol. 51,no. 3,pp. 714-725, March 2003.
2. B. Picinbono, "Second-order complex random vectors and normal distributions," IEEE Trans. on Signal Processing, vol. 44, no. 10, pp. 2637-2640, October 1996.
3. J. Eriksson and V. Koivunen, "Complex random vectors and ICA models: identifiability, uniqueness, and separability," IEEE Trans. on Information Theory, vol. 52 no. 3, pp. 1017-1029, March 2006.
4. H. Abeida and J.P Delmas, "MUSIC-like estimation of direction of arrival for non-circular sources," IEEE Trans. on Signal Processing, vol. 54, no. 7, pp. 2678-2690, July 2006.
5. PJ. Schreier, L. Scharf and C.T. Mullis, "Detection and estimation of improper complex random signals," IEEE Trans. on Information Theory, vol. 51, no. 1, pp. 306-312, January 2005.
6. P. Chargé, Y. Wang and J. Saillard, "A non-circular sources direction finding method using polynomial rooting," Signal Processing, vol. 81, pp. 1765-1770, 2001.
7. M. Haardt and F. Römer, "Enhancements of unitary ESPRIT for non circular sources," International Conference on ASSP, Montreal, May 2004.
8. L. Scharf and C.T. Mullis, "Canonical cordinates and the geometry of inference rate and capacity," IEEE Trans. on Signal Processing, vol. 48, no. 3, pp. 824-831, March 2000.
9. E.M. Cramer and WA. Nicewander, "Some symmetric-invariant measures of multivariate association," Psychometrika, vol. 44, no. 1, pp. 43-54, March 1979.
10. P. Chevalier and F. Pipon, "New insights into optimal widely linear array receivers for the demodulation of BPSK, MSK and GMSK signals corrupted by non circular interferences - Application to SAIC", IEEE Trans. on Signal Processing, vol.54, no.3, pp. 870-883, March 2006.
11. I.T. Jolliffe, Principal Component Analysis Series: Springer Series in Statistics, 2002.
12. DA. Harville, Matrix algebra from a statistician's perspective, Springer 1999.
13. R.J. Serfling, Approximation Theorems of Mathematical Statistics, John Wiley and Sons, 1980.
14. J.P. Delmas and H. Abeida, "On the degree of second-order non-circularity of complex random variables", submitted to IEEE Trans. on Signal Processing.