Blind Non-Minimum Phase Channel Identification Using 3rd and 4th Order Cumulants
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33087
Blind Non-Minimum Phase Channel Identification Using 3rd and 4th Order Cumulants

Authors: S. Safi, A. Zeroual

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.

Keywords: Higher Order Cumulants, Channel identification, Ethernet communication.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1333316

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1446

References:


[1] C. L. Nikias and J. M. Mendel, "Signal Processing With Higher Order Spectra," IEEE Signal Processing Magazine, pp. 10-37, July 1993.
[2] C. L. Nikias and A. P. Petropulu, Higher-Order Spectra Analysis, PTR Prentice- Hall, Englewood Cliffs, New Jersey, 1993.
[3] 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.
[4] 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.
[5] 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.
[6] 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.
[7] 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.
[8] 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.
[9] 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.
[10] 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.
[11] 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.
[12] 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.
[13] 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.
[14] 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.
[15] 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.
[16] 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.
[17] 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.
[18] 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.
[19] 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.
[20] 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.
[21] 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.
[22] 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.
[23] J.G. Proakis, Digital Communications, 4th edition : Mc Graw Hill, New York 2000.
[24] 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.
[25] Z. Wang, G.B. Giannakis,"Wireless multicarrier communications," IEEE Signal Process. Mag. vol. 17, no. 3, pp. 29-48, May 2000.