Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30663
Blind Channel Estimation for Frequency Hopping System Using Subspace Based Method

Authors: M. M. Qasaymeh, M. A. Khodeir


Subspace channel estimation methods have been studied widely, where the subspace of the covariance matrix is decomposed to separate the signal subspace from noise subspace. The decomposition is normally done by using either the eigenvalue decomposition (EVD) or the singular value decomposition (SVD) of the auto-correlation matrix (ACM). However, the subspace decomposition process is computationally expensive. This paper considers the estimation of the multipath slow frequency hopping (FH) channel using noise space based method. In particular, an efficient method is proposed to estimate the multipath time delays by applying multiple signal classification (MUSIC) algorithm which is based on the null space extracted by the rank revealing LU (RRLU) factorization. As a result, precise information is provided by the RRLU about the numerical null space and the rank, (i.e., important tool in linear algebra). The simulation results demonstrate the effectiveness of the proposed novel method by approximately decreasing the computational complexity to the half as compared with RRQR methods keeping the same performance.

Keywords: Music, frequency hopping, time delay estimation, RRLU, RRQR, LS-ESPRIT

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1658


[1] R. L. Pickholtz et al., “Theory of spread spectrum communications – a tutorial,” IEEE Trans. Commun., Vol. COM-30, pp. 855–884, May 1982.
[2] X.Wang and Z. Kostic, “Analysis of frequency-hopped cellular systems with dynamic FH pattern adaptation,” in Proc. IEEE Globecom, Comm. Theory Mini Conf., Sydney, Australia, Nov. 1998.
[3] P.H. Hande, L. Tong, and A. Swami, "Channel Estimation for Frequency Hopping Systems," in MILCOM 99, Nov. 1999
[4] Prashanth Hande, Lang Tong, and Ananthram Swami “Flat Fading Approximation Error” IEEE Commumications Letteres, Vol. 4, No. 10, October 2000.
[5] J. Marot, C. Fossati and S. Bourennane, “Fast subspace-based source localization methods”, Sensor Array and Multichannel Signal Processing Workshop, 2008. SAM 2008. 5th IEEE, (2008) July 21-23, pp. 203-206.
[6] R. Roy, A.Paulraj, and T. Kailath. “ESPRIT – A subspace rotation approach to estimation of parameters of cisoids in noise”. IEEE trans. on acoustics and speech signal proc,ASSP-34(10): 1340-1342, October, 1986.
[7] P. Hande, L. Tong and A. Swami "Multipath Delay Estimation for Frequency Hopping Systems" J. VLSI Signal Processing, Vol. 30, pp 163-178, March, 2002.
[8] P.H. Hande, L. Tong, and A. Swami, "Channel Estimation for Frequency Hopping Systems via Multiple Invariances," in Proc. IEEE Wireless Comm. and Networking Conf., Sept. 2000.
[9] C. H. Bischof and G. Quintana-orti’, “Computing rank-revealing QR factorizations of dense matrices” ACM Transactions on Mathematical Software (TOMS), Vol. 24, issue 2, pp 226-253, 1998
[10] M. Qassymeh, et al., “Time Delay Estimator for Frequency Hopping System using Rank-Revealing Triangular Factorization,” the Proceedings of IEEE Vehicular Technology Conference, Barcelona, Spain, April 2009.
[11] Hayes, “Statistical Digital Signal Processing” Wiley 1996.