Abstract
Conventional linear channel estimation methods, such as the least squares, are unavailable in practical applications since all entries of the solution obtained by these methods were nonzeros. Using the sparsity of channel, several methods have been proposed, such as orthogonal matching pursuit (OMP) and convex program. However, OMP algorithm is unstable in the case of highly redundant dictionary and the convex program method is hard to implement due to its complexity. In this paper, a novel sparse channel estimate strategy named as regularized orthogonal matching pursuit algorithm is proposed. This algorithm combines the advantage of OMP algorithm and convex program methods. Numeral experiments demonstrate that the proposed algorithm is effective for the problem of sparse multi-path channel estimation.
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References
Schreiber WF (1995) Advanced television systems for terrestrial broadcasting: some problems and some proposed solutions. IEEE Proc 83:958–981
Mallat SG, Zhang Z (1993) Matching pursuits with time-frequency dictionaries. IEEE Trans ASSP 41(12):3397–3415
Kocic M et al (1995) Sparse equalization for real time digital underwater acoustic communications. In: Proceedings of the OCEANS’95, San Diego, CA, pp 1417–1422
Carbonelli C, Vedantam S, Mitra U (2007) Sparse channel estimation with zero tap detection. IEEE Trans Wirel Commun 6(5):1743–1763
Cotter SF, Rao BD (2002) Sparse channel estimation via matching pursuit with application to equalization. IEEE Trans Commun 50(3):374–377
Tropp JA, Gilbert AC (2007) Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans Inf Theory 53(12):4655–4666
Gui G, Wan Q, Huang AM, Jaing CG (2008) Partial sparse multipath channel estimation using L1_LS algorithm (submitted for IEEE TENCON)
Bajwa WU, Haupt J, Raz G, Nowak R (2008) Compressed channel sensing. In: Proceedings of the 42nd annual conference information sciences and systems (CISS’08), pp 19–21
Donoho D, Elad M, Temlyakov V (2006) Stable recovery of sparse overcomplete representations in the presence of noise. IEEE Trans Inf Theory 52(1):6–18
Tropp J (2004) Greed is good: algorithmic results for sparse approximation. IEEE Trans Inf Theory 50:2231–2242
Kunis S, Rauhut H (2006) Random sampling of sparse trigonometric polynomials ii—orthogonal matching pursuit versus basis pursuit. Arxiv: preprint math.CA/0604429v2
Nguyen NH, Tran TD (2007) The stability of regularized orthogonal matching pursuit algorithm. http://www.dsp.ece.rice.edu/cs/Stability_of_ROMP.pdf
Cotter SF, Rao BD (2002) Sparse channel estimation via matching pursuit with application to equalization. IEEE Trans Commun 50(3):277–374
Schnass K, Vandergheynst P (2008) Dictionary preconditioning for greedy algorithms. IEEE Trans Inf Theory 56(5):1994–2002
Candès E, Tao T (2005) Decoding by linear programming. IEEE Trans Inf Theory 51:4203–4215
Candès E, Tao T (2007) The Dantzig selector: statistical estimation when p is much larger than n. Ann Stat 35:2313–2351
Bajwa WU, Haupt J, Raz G, Wright S, Nowak R (2007) Toeplitz structured compressed sensing matrices. In: Proceedings of the 14th IEEE/SP workshop on statistical signal processing (SSP’07), pp 294–298
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Wang, R., Lu, J. (2012). Sparse Multipath Channel Estimation Using Regularized Orthogonal Matching Pursuit Algorithm. In: Wang, X., Wang, F., Zhong, S. (eds) Electrical, Information Engineering and Mechatronics 2011. Lecture Notes in Electrical Engineering, vol 138. Springer, London. https://doi.org/10.1007/978-1-4471-2467-2_16
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DOI: https://doi.org/10.1007/978-1-4471-2467-2_16
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