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http://dx.doi.org/10.7472/jksii.2014.15.5.17

Estimation of Zero-Error Probability of Constant Modulus Errors for Blind Equalization  

Kim, Namyong (Division of Electronics, Information & Communication Engineering, Kangwon National Unversity)
Publication Information
Journal of Internet Computing and Services / v.15, no.5, 2014 , pp. 17-24 More about this Journal
Abstract
Blind algorithms designed to maximize the probability that constant modulus errors become zero carry out some summation operations for a set of constant modulus errors at an iteration time inducing heavy complexity. For the purpose of reducing this computational burden induced from the summation, a new approach to the estimation of the zero-error probability (ZEP) of constant modulus errors (CME) and its gradient is proposed in this paper. The ZEP of CME at the next iteration time is shown to be calculated recursively based on the currently calculated ZEP of CME. It also is shown that the gradient for the weight update of the algorithm can be obtained by differentiating the ZEP of CME estimated recursively. From the simulation results that the proposed estimation method of ZEP-CME and its gradient produces exactly the same estimation results with a significantly reduced computational complexity as the block-processing method does.
Keywords
Constant modulus error; Computational Complexity; Gradient; Impulsive noise; Zero-error probability;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 W. M. Moh, Y. Chen, "Multicasting flow control for hybrid wired/wireless ATM networks," Performance Evaluation, Vol. 40, Mar. 2000, pp. 161-194.   DOI   ScienceOn
2 L. M. Garth, "A dynamic convergence analysis of blind equalization algorithms," IEEE Trans. on Comm., Vol. 49, April. 2001, pp. 624-634   DOI   ScienceOn
3 F. Mazzenga, "Channel estimation and equalization for M-QAM transmission with a hidden pilot sequence," IEEE Trans. on Broadcasting, Vol. 46, June. 2000, pp. 170-176   DOI   ScienceOn
4 J. R. Treichler and B. Agee, "A new approach to multipath correction of constant modulus signals," IEEE Trans. Acoust., Speech, Signal Process. Vol. ASSP-31, Nov. 1983, pp. 349-372.
5 Sedarat and K. Fisher, Multicarrier communication in presence of biased-Gaussian noise sources, Signal Processing, Vol. 88, July 2008, pp. 1627-1635.   DOI   ScienceOn
6 S. Unawong, S. Miyamoto, and N. Morinaga, A novel receiver design for DS-CDMA systems under impulsive radio noise environments, IEICE Trans. Comm., Vol. E82-B, June 1999, pp. 936 -943.
7 J. Principe, D. Xu and J. Fisher, Information Theoretic Learning in: S. Haykin, Unsupervised Adaptive Filtering, Wiley, (New York, USA), 2000, pp. 265-319.
8 I. Santamaria, P. P. Pokharel, and J. C. Principe, Generalized correlation function: Definition, properties, and application to blind equalization, IEEE Trans. Signal Processing, Vol.54, June 2006, pp. 2187-2197.   DOI   ScienceOn
9 N. Kim, "Performance analysis of maximum zero-error probability algorithm for blind equalization in impulsive noise channels," Journal of Korean Society for Internet Information, vol. 11, Oct. 2010, pp. 1-8.   과학기술학회마을
10 E. Parzen, "On the estimation of a probability density function and the mode," Ann. Math. Stat. Vol. 33, 1962, p.1065.   DOI   ScienceOn
11 S. Yassin, H. Tawfik, "Reduced complexity decision feedback channel equalizer using series expansion division", AICT 2013 : The Ninth Advanced International Conference on Telecommunications, Rome, Italy, June 2013, pp. 219-223.
12 J. Park, Y. Whang, and K. Kim, "Low complexity MMSE-SIC equalizer employing time-domain recursion for OFDM systems", IEEE Signal Processing Letters, Vol. 15, Oct. 2008, pp. 633-636   DOI
13 V. Swathi, K. Rajani and K. Padmaja, "Blind equalization based on modified constant modulus algorithm", International Journal of Advanced Research in Computer and Communication Engineering, Vol. 3, Issue 5, May 2014, pp. 6523-6525.
14 M. Demir and A. Ozen, "A novel variable step size adjustment method based on autocorrelation of error signal for the constant modulus blind equalization algorithm", Radio Engineering, Vol. 21, April 2012, pp. 37-45.