Joint Blind Equalization and Decoding over Frequency Selective Channels in OFDM Systems Using Particle Filtering Joint Blind Equalization and Decoding over Frequency Selective Channels in OFDM Systems Using Particle Filtering
Subject Areas : electrical and computer engineering
N.
Ghasemi
1
M. F.
Sabahi
2
A. R.
Forouzan
3
Keywords: OFDM blind equalization joint equalization and decoding particle filtering,
Abstract :
In this paper a sequential algorithm is proposed for joint blind channel equalization and decoding for orthogonal frequency-division multiplexing (OFDM) in frequency selective channels. This algorithm offers a recursive method to sequentially calculate the posterior probability for maximum a posteriori (MAP) detection. Recursive calculations are done along the indexes in each OFDM symbol using a particle filter. By defining an appropriate importance function, and a proper prior probability distribution function for the channel tap coefficients (and marginalizing it), an efficient method is presented for joint equalization and channel decoding in OFDM based systems. Performance of the proposed detector is evaluated using computer simulations and its bit error rate is compared with the trained turbo equalizer and a conventional particle filter-based method. The results show that the proposed method outperforms the previously presented particle filter-based method without a need for training data.
[1] S. Song, A. C. Singer, and K. M. Sung, "Soft input channel estimation for turbo equalization," Signal Processing, IEEE Trans. on, vol. 52, no. 10, pp. 2885-2894, Oct. 2004.
[2] S. Haykin, Adaptive Filter Theory, 4th Ed. NJ: Prentice - Hall, 2002.
[3] Y. Sato, "A method for self - recovering equalization for multilevel amplitude modulation system," IEEE Trans. Commun., vol. 23, no. 6, pp. 679-682, Jun. 1975.
[4] R. Chen, H. Zhang, Y. Xu, and X. Liu, "Blind receiver for OFDM systems via sequential Monte Carlo in factor graphs," J. of Zhejiang University SCIENCE A, vol. 8, no. 1, pp. 1-9, 2007.
[5] M. Zhao, Z. Shi, and M. C. Reed, "Iterative turbo channel estimation for OFDM system over rapid dispersive fading channel," IEEE Trans. on Wireless Communications, vol. 7, no. 8, pp. 3174-3184, Aug. 2008.
[6] A. M. Nassar and W. El Nahal, "Blind equalization technique for cross correlation constant modulus algorithm (CC-CMA)," J. WSEAS Trans. on Signal Processing, vol. 6, no. 2, pp. 23-32, April.2010.
[7] S. Chen, "Low complexity concurrent constant modulus algorithm and soft decision - directed scheme for blind equalization," IEE Proceedings Vision, Image, and Signal Processing, vol. 150, no. 5, pp. 312-320, Oct. 2003.
[8] W. Nie, H. Normal, and Y. Liu, "A new blind equalization algorithm based on a variable segment error function," in Proc. Cross Strait Quad - Regional Radio Science and Wireless Technology Conf., CSQRWC'11, vol. 2, pp. 1327-1331, Jul. 2011.
[9] S. Abrar and A. K. Nandi, "Adaptive minimum entropy equalization algorithm," Communications Letters IEEE, vol. 14, no. 10, pp. 966-968, Oct. 2010.
[10] D. Xu, K. Yan, and H. C. Wu, "Blind channel equalization using expectation maximization of auxiliary objective function for complex constellations," in Proc.Global Telecommunications Conf., 6 pp., Dec. 2009.
[11] Y. Li, N. Seshadri, and S. Ariyavisitakul, "Channel estimation for OFDM systems with transmitter diversity in mobile wireless channels," IEEE J. Sel. Areas Commun., vol. 17, no. 3, pp. 461-471, Mar. 1999.
[12] S. Zhou, B. Muquet, and G. B. Giannakis, "Subspace - based (semi) blind channel estimation for block precoded space - time OFDM," IEEE Trans. Signal Process., vol. 50, no. 5, pp. 1215-1228, May 2002.
[13] M. Jiang, C. Li, H. Li, and D. Yuan, "Channel tracking based on neural network and particle filter in MIMO - OFDM system," in Proc. 4th Int. Conf. on Natural Computation, vol. 5, pp. 192-196, Oct. 2008.
[14] L. Wang, J. Yang, W. Ao, X. Bai, and L. Chen, "The blind equalization method based on particle filter theory," in Proc. Int. Conf. on Computer Science and Electronics Engineering, ICCSEE'12 , vol. 2, pp. 191-194, Mar. 2012.
[15] J. S. Liu and R. Chen, "Blind deconvolution via sequential imputations," J. Amer. Stat. Assoc., vol. 90, no. 430, pp. 567-576, Jun. 1995.
[16] T. Clapp, Statistical Methods for the Processing of Communication Data, Ph.D. Dissertation, Dept. Eng., Univ. Cambridge, Cambridge, U.K., 2000.
[17] J. Miguez and P. M. Djuric, "Blind equalization of frequency - selective channels by sequential importance sampling," IEEE Trans. Signal Process., vol. 52, no. 10, pp. 2738-2748, Oct. 2004.
[18] C. J. Bordin, Jr., M. G. S. Bruno, "Particle filters for joint blind equalization and decoding in frequency - selective channels," IEEE Trans. Signal Processing, vol. 56, no. 6, pp. 2395-2405, Jun. 2008.
[19] Y. Li and G. L. Stuber, Orthogonal Frequency Division Multiplexing for Wireless Communications, Springer-Verlag, 2006.
[20] T. S. John, A. Nallanathan, and M. A. Armand, "Non - resampling detector for coded OFDM systems differential phase trellis," IEEE Trans. Wireless Communications, vol. 5, no. 7, pp. 1846-1856, Jul. 2006.
[21] P. M. Olmos, J. J. Murillo - Fuentes, and F. Perez - Cruz, "Joint nonlinear channel equalization and soft LDPC decoding with gaussian processes," Signal Processing, IEEE Trans. on, vol. 58, no. 3, pp. 1183-1192, Mar. 2010.
[22] H. C. Myburgh and J. C. Olivier, "A primer on equalization, decoding and non-iterative joint equalization and decoding," EURASIP J. on Advances in Signal Processing, vol. 79, 23 pp., Apr. 2013.
[23] L. Zhao and J. Ge, "Joint iterative equalization and decoding for underwater acoustic communications," in Proc. Int. Symp. on Communications and Information Technologies, ISCIT, pp. 1074-1078, Oct. 2010.
[24] H. Dogan, H. A. Cirpan, and E. Panayirci, "Iterative channel estimation and decoding of turbo coded SFBC - OFDM systems," IEEE Trans. on, Wireless Communicationsvol. 6, no. 8, pp. 3090-3101, Aug. 2007.
[25] D. N. Liu and M. P. Fitz, "Iterative MAP equalization and decoding in wireless mobile coded OFDM," IEEE Trans. on Communication, vol. 57, no. 7, pp. 2042-2051, Jul. 2009.
[26] K. Fang, L. Rugini, and G. Leus, "Low complexity block turbo equalization for ofdm systems in time varying channels," IEEE Trans. on Signal Processing, vol. 56, no. 11, pp. 5555-5566, Nov. 2008.
[27] A. Doucet, S. Godsill, and C. Andrieu, "On sequential Monte Carlo sampling methods for Bayesian filtering," Statist. Comput., vol. 10, no. 3, pp. 197-208, 2000.
[28] T. Higuchi, "Monte Carlo filter using the genetic algorithm operators," J. Stat. Comput. Simulation, vol. 59, no. 1, pp. 1-23, 1997.
[29] J. R. Hopgood and P. J. W. Rayner, "Blind single channel deconvolution using nonstationary signal processing," IEEE Trans. Signal Process., vol. 11, no. 5, pp. 476-488, Sep. 2003.
[30] A. H. Sayed, Fundamentals of Adaptive Filtering, New York: Wiley, 2003.