Commenced in January 2007
Paper Count: 30172
Blind Non-Minimum Phase Channel Identification Using 3rd and 4th Order Cumulants
Abstract:In this paper we propose a family of algorithms based on 3rd and 4th order cumulants for blind single-input single-output (SISO) Non-Minimum Phase (NMP) Finite Impulse Response (FIR) channel estimation driven by non-Gaussian signal. The input signal represents the signal used in 10GBASE-T (or IEEE 802.3an-2006) as a Tomlinson-Harashima Precoded (THP) version of random Pulse-Amplitude Modulation with 16 discrete levels (PAM-16). The proposed algorithms are tested using three non-minimum phase channel for different Signal-to-Noise Ratios (SNR) and for different data input length. Numerical simulation results are presented to illustrate the performance of the proposed algorithms.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1333316Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1115
 C. L. Nikias and J. M. Mendel, "Signal Processing With Higher Order Spectra," IEEE Signal Processing Magazine, pp. 10-37, July 1993.
 C. L. Nikias and A. P. Petropulu, Higher-Order Spectra Analysis, PTR Prentice- Hall, Englewood Cliffs, New Jersey, 1993.
 G. B. Giannakis and A. Delopoulos, "Cumulant based autocorrelation estimates of non-Gaussian linear processes," Signal Processing, vol. 47, no. 1, pp. 1-17, November 1995.
 J. M. -M. Anderson and G. B. Giannakis, "Noisy input output system identification using cumulants and the Streiglitz-McBride algorithm," IEEE Trans. on SignalProcessing Magazine, vol. 44, no. 4, pp. 1021- 1024, February 1996.
 L. Srinivas and K. V. S. Hari, "FIR System Identification Using Higher Order Cumulants: A Generalized Approach," IEEE Transactions on Signal Processing, vol. 43, no. 12, pp. 3061-3065, December 1995.
 A. G. Stogioglou and S. McLaughlin, "MA Parameter Estimation and Cumulant Enhancement," IEEE Transactions on Signal Processing, vol. 44, no. 7, pp. 1704-1718, July 1996.
 J. K. Tugnait, "Approaches to FIR System Identification With Noisy Data Using Higher Order Statistics," IEEE Transactions on Signal Processing, vol. 38, no. 7, pp. 1307-1317, July 1990.
 J. K. Tugnait, "New Results on FIR System Identification Using Higher- Order Statistics," IEEE Transactions on Signal Processing, vol. 39, no. 10, pp. 2216-2221, October 1991.
 S. Chen, B. Mulgrew, and P. M. Grant, "A clustering technique for digital communications channel equalization using radial basis function networks," IEEE Trans. Neural Networks, vol. 4, pp. 570-578, July 1993.
 A. Swami, and J. Mendel, "closed form recursive estimation of MA coefficients using autocorrelation and third order cumulants," IEEE ASSP, vol. 37, no. 11, pp. 2330-2341 1989.
 J. K. Tugnait, "Approaches to FIR system identification with noisy data using higher order statistics," IEEE Trans. On ASSP, vol. 38, no. 1, pp. 1307-1317, 1990.
 H. A. Cirpan and M. K. Tsatsanis, "Stochastic Maximum Likelihood Methods for Semi-Blind Channel Equalization, " Signal Processing Letter, vol. 5, no. 1, pp. 1629-1632, Jan 1998.
 S. Safi, A. Zeroual, "Blind identification in noisy environment of nonminimum phase Finite Impulse Response (FIR) using higher order statistics," International Journal of Systems Analysis Modelling Simulation, Taylor Francis vol. 43 no. 5 pp. 671- 681, May 2003.
 S. Safi, A. Zeroual, "Blind Parametric identification of linear stochastic Non-Gaussian FIR Systems using higher order cumulants," International Journal of Systems Sciences Taylor Francis, vol. 35, no. 15, pp. 855-867, Dec. 2004. 224.
 B. Sadler, G. B. Giannakis, and K.-S. Lii, "Estimation and detection in the presence of non-Gaussian noise," IEEE Transactions on Signal Processing, vol. 42, no. 10, pp. 2729-2741, October 1994.
 A. Chevreuil and P. Loubaton, "Blind second-order identification of FIR channels: Forced cyclo-stationarity and structured subspace method," IEEE Signal Processing Letter, vol. 4, pp. 204-206, July 1997.
 G. B. Giannakis, "Linear cyclic correlation approaches for blind channel identification of FIR channels, " Proc. Asilomar Conf., Pacific Grove, CA, Nov. 1995,pp. 420-424.
 W. Jun and H. Zhenya, "Criteria and algorithms for blind source separation based on cumulants," International Journal of Electronics, vol. 81, no. 1, pp. 1-14. 1996.
 L. Ju and H. Zhenya, "Blind identification and equalization using higher-order cumulants and ICA algorithms," Proceeding int. conf. Neural Networks and Brain (ICNN B-98), Beijing, October 1998.
 X. D. Zhang and Y. S. Zhang, "FIR system identification using higher order statistics alone," IEEE Trans. Signal Processing, vol. 42, no. 12, pp. 2854-2858, October 1994.
 S. Safi and A. Zeroual, "MA system identification using higher order cumulants: Application to modelling solar radiation," International Journal of Statistical Computation and Simulation,Taylor Francis, vol. 72, no. 7, pp. 533-548, October 2002.
 J. M. Kahn and K.-P. Ho, "Spectral Efficiency Limits and Modulation/ Detection Techniques for DWDM Systems," IEEE. J. on Sel. Topics in Quantum Electron, vol. 10, pp. 259-272, 2004.
 J.G. Proakis, Digital Communications, 4th edition : Mc Graw Hill, New York 2000.
 C. P. Kaiser, P. J. Smith and M. Shafi, "An Improved Optical Heterodyne DPSK Receiver to Combat Laser Phase Noise," J. Light wave Technol, vol. 13, pp. 525-533, 1995.
 Z. Wang, G.B. Giannakis,"Wireless multicarrier communications," IEEE Signal Process. Mag. vol. 17, no. 3, pp. 29-48, May 2000.