Non-parametric likelihood based channel estimator for Gaussian mixture noise

Signal Processing

Volumn 87, Issue 11, 2007, Pages 2569-2586

  Bhatia, Vimal ^a   Mulgrew, Bernard ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Channel estimator; Cram r Rao bound; Gaussian mixture; Kernel density estimation; Maximum likelihood; Non Gaussian noise; Non parametric; Whitening filter

Indexed keywords

CHANNEL ESTIMATOR; DENSITY ESTIMATES; GAUSSIAN MIXTURE NOISE; KERNEL DENSITY ESTIMATOR;

ALGORITHMS; COMPUTER SIMULATION; GAUSSIAN NOISE (ELECTRONIC); LEAST SQUARES APPROXIMATIONS; SIGNAL ANALYSIS;

CHANNEL ESTIMATION;

EID: 34447295381     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2007.04.006     Document Type: Article

References (38)

1. Mann I., McLaughlin S., Henkel W., Kirby R., and Kessler T. Impulse generation with appropriate amplitude, length, inter-arrival and spectral characteristics. IEEE J. Select Areas Commun. 20 (June 2002) 901-912
2. G.A. Tsihrintzis, C.L. Nikias, Performance of optimum and suboptimum receivers in the presence of impulsive noise modelled as an alpha-stable process, Proceedings of MILCOM'93, vol. 2, July 1993, pp. 658-662.
3. Lind L.F., and Mufti N.A. Efficient method for modelling impulsive noise in a communication system. IEE Electron. Lett. 32 (August 1996) 1440-1441
4. L. Ahlin, J. Zander (Eds.), Principles of Wireless Communications, second ed., Studentlitteratur, Sweden, 1997.
5. Luschi C., and Mulgrew B. Nonparametric trellis equalization in the presence of non-Gaussian interference. IEEE Trans. Commun. 51 (February 2003) 229-239
6. Kuruoglu E., Molina C., and Fitzgerald W. Approximation of alpha-stable probability densities using finite Gaussian mixtures. Proceedings of EUSIPCO 98, Signal Processing IX: Theories and Applications vol. 2 (September 1998) 989-992
7. Blum R.S., Kozick R.J., and Sadler B.M. An adaptive spatial diversity receiver for non-Gaussian interference and noise. IEEE Trans. Signal Process. 47 (August 1999) 2100-2111
8. Sengupta D., and Kay S.M. Efficient estimation of parameters for non-Gaussian autoregressive processes. IEEE Acoustics, Speech, Signal Process. 37 (June 1989) 785-794
9. Zhang Y., and Blum R.S. An adaptive receiver with an antenna array for channels with correlated non-Gaussian interference and noise using the sage algorithm. IEEE Trans. Signal Process. 48 (July 2000) 2172-2175
10. Bhatia V., and Mulgrew B. A EM-based channel estimator in non-Gaussian noise, VTC-2004 (Fall) (September 2004), LA, US
11. Dempster A., Laird N., and Rubin D. Maximum-likelihood from incomplete data via the EM algorithm. J. Roy. Statist. Soc. 39 (1977) 1-38
12. Moon T.K. The expectation-maximization algorithm. IEEE Signal Process. Mag. (November 1996) 47-60
13. Redner R.A., and Walker H.F. Mixture densities, maximum likelihood and the EM algorithm. SIAM Rev. 26 (April 1984) 195-239
14. Fessler J.A., and Hero A.O. Space-alternating generalized EM algorithm. IEEE Trans. Signal Process. 42 (October 1994) 2664-2677
15. Feder M., and Catipovic A. Algorithms for joint channel estimation and data recovery-Application to equalization in underwater communications. IEEE J. Oceanic Eng. 16 (January 1991) 42-55
16. Zamiri-Jafarian H., and Pasupathy S. EM-based recursive estimation of channel parameters. IEEE Trans. Commun. 47 (September 1999) 1297-1302
17. Zamiri-Jafarian H., and Pasupathy S. Recursive channel estimation for wireless communication via the EM algorithm. IEEE Conference on Personal Wireless Communications (December 1997) 33-37
18. Jeremic A., Thomas T.A., and Nehorai A. OFDM channel estimation in presence of interference. IEEE Trans. Signal Process. 52 (December 2004) 3429-3439
19. Hunziker T., Hashiguchi M., and Ohira T. Reception of coded OFDM signals in broad-band fading environments with strong cochannel interference. Proceedings of GLOBECOM03 vol. 4 (December 2003) 2310-2314
20. Hafeez A., Molnar K.J., Arslan H., Bottomley G.E., and Ramsh R. Adaptive joint detection of cochannel signals for TDMA handsets. IEEE Trans. Commun. 52 (October 2004) 1722-1732
21. H. Schoeneich, P.A. Hoeher, Single antenna interference cancellation: iterative semi-blind algorithm and performance bound for joint maximum-likelihood interference cancellation, in: IEEE GLOBECOM '03, vol. 3, Decemberr 2003, pp. 1716-1720.
22. Bhatia V., and Mulgrew B. Non-parametric ML channel estimator and detector for OFDM. Eusipco (September 2005)
23. Astely D., and Ottersten B. MLSE and spatio-temporal interference rejection combining with antenna arrays. Proceedings of EUSIPCO vol. III (September 1998) 1341-1344
24. Liang J.-W., Chen J.-T., and Paulraj A.J. A two-stage hybrid approach for CCI/ISI reduction with space time processing. IEEE Commun. Lett. 1 (November 1997) 163-165
25. S.M. Kay (Ed.), Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice-Hall International, Inc., Englewood Cliffs, NJ, 1993.
26. Sengupta D., and Kay S.M. Parameter estimation and GLRT detection in colored non-Gaussian autoregressive processes. IEEE Acoustics, Speech, Signal Process. 38 (October 1990) 1661-1676
27. Swami A. Cramer-Rao bounds for deterministic signals in additive and multiplicative noise. Signal Process. 53 (1996) 224-231
28. Tugnait J.K., Lang T., and Zhi D. Single-user channel estimation and equalization. IEEE Signal Process. Mag. 17 (May 2000) 17-28
29. Spaulding A., and Middleton D. Optimum reception in an Impulsive Interference Environment-Part-I. IEEE Trans. Commun. COM-25 (September 1977) 910-923
30. Liporace L.A. Maximum likelihood estimation for multivariate observations of Markov sources. IEEE Trans. Inform. Theory 1T-28 (September 1982) 729-734
31. Kozick R., Blum R., and Sadler B. Signal processing in non-Gaussian noise using mixture distributions and the EM algorithm. Thirty-First Asilomar Conference on Signals Systems and Computers vol. 1 (November 1997) 438-442
32. Parzen E. On the estimation of a probability density function and mode. Ann. Math. Statist. 33 (1962) 1065-1076
33. Schraudolph N.N. Gradient-based manipulation of non-parametric entropy estimates. IEEE Trans. Neural Networks 15 (July 2004)
34. B.W. Silverman (Ed.), Density Estimation for Statistics and Data Analysis. Chapman & Hall, London, 1986.
35. Kozick R., and Sadler B. Maximum-likelihood array processing in non-Gaussian noise with gaussian mixtures. IEEE Trans. Signal Process. 48 (December 2000) 3520-3535
36. Beirlant J., Dudewicz E., Gyorfi L., and van der Meulen E. Nonparametric entropy estimation: An overview. Int. J. Math. Statist. Sci. 7 (June 1997) 17-39
37. Boscolo R., Pan H., and Roychowdhury V.P. Independent component analysis based on nonparametric density estimation. IEEE Trans. Neural Networks 15 (January 2004) 55-65
38. S. Haykins (Ed.), Adaptive Filter Theory, fourth ed., Pearson Education Asia Inc., 2002.