Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30225
Higher Order Statistics for Identification of Minimum Phase Channels

Authors: Mohammed Zidane, Said Safi, Mohamed Sabri, Ahmed Boumezzough


This paper describes a blind algorithm, which is compared with two another algorithms proposed in the literature, for estimating of the minimum phase channel parameters. In order to identify blindly the impulse response of these channels, we have used Higher Order Statistics (HOS) to build our algorithm. The simulation results in noisy environment, demonstrate that the proposed method could estimate the phase and magnitude with high accuracy of these channels blindly and without any information about the input, except that the input excitation is identically and independent distribute (i.i.d) and non-Gaussian.

Keywords: System Identification, Communication Channels, higher order statistics

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1256


[1] D. P. Ruiz, M. C. Carrion, A. Gallego and J.A.Morent, "Identification of MA processes using cumulants: several sets of linear equations” IEE proc.-vis image signal process, vol. 143 No. 2, April 1996.
[2] M. Bakrim and D. Aboutajdine, "Cumulant-based identification of non gaussian moving average signals”, Traitement du Signal, vol. 16 No. 3, pp.175−186, 1999.
[3] X. D. Zhang and Y. S. Zhang, "Fir system identification using higher order statistics alone”. IEEE Transaction on Signal Processing, vol. 42 No. 12, pp. 2854−2858, 1994.
[4] Chong-Yung Chi and Jung-Yuan Kung, "A new identification algorithm for allpass systems by higher-order statistics”, Signal Processing, vol. 41 pp. 239−256, 1995.
[5] Said Safi, Miloud Frikel, Abdelouhab Zeroual, and Mohammed M’Saad, "Higher Order Cumulants for Identication and Equalization of Multicarrier Spreading Spectrum Systems”, Journal of telecommunications and information technology, (2/2011).
[6] S. Safi and A. Zeroual, "Blind non minimum phase channel identification using 3rd and 4th order cumulants”, Int. J. Sig. Proces., vol. 4 No. 1, pp. 158−168, 2007.
[7] J. Antari, A. El Khadimi, D. Mammas and A. Zeroual, "Developed Algorithm for Supervising Identification of Non Linear Systems using Higher Order Statistics: Modeling Internet Traffic”, International Journal of Future Generation Communication and Networking, vol. 5 No. 4, December 2012.
[8] D. Brillinger and M. Rosenblatt,"Computation and interpretation of kth order spectra”, In Spectral Analysis of Time Signals, NewYork: Wiley, pp. 907−938, 1967.
[9] S. Safi, "Identification aveugle des canaux `a phase non minimale en utilisant les statistiques d’ordre sup´erieur: Application aux r´eseaux mobiles”. Th`ese d’Habilit´e, Cadi Ayyad University, Marrakesh, Morocco, 2008.
[10] J. Antari, R. Iqdour et A. Zeroual, "Forecasting the wind speed process using higher order statistics and fuzzy systems”, Revue des Energies Renouvelables, vol. 9 No. 4 pp. 237−251, 2006.
[11] 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 1999.
[12] J. Antari, "Analyse et identification aveugle des Syst`emes non lin´eaire en utilisant les statistiques d’ordre, sup´erieur : application `a la mod´elisation du trafic dans les r´eseaux internet”. Th`ese de Doctorat, Cadi Ayyad University, Marrakesh, Morocco, (2008).
[13] M. Zidane, S. Safi, M. Sabri, and A. Boumezzough, "Impulse Response Identification of Minimum and Non Minimum Phase Channels”, 4th Workshop on Codes, Cryptography and Communication Systems (WCCCS’13) 07−08 November 2013, Meknes, Morocco.
[14] M. Zidane, S. Safi, M. Sabri, and A. Boumezzough, "Blind Identification Channel Using Higher Order Cumulants with Application to Equalization for MC−CDMA System”, World Academy of Science, Engineering and Technology, International Journal of Electrical, Electronic Science and Engineering Vol. 8 No. 2, 2014.