Bayesian Estimation Algorithm of UWB Channel Based on the Optimized Sensing Matrix

WANG Ping; RUAN Huai-lin; FAN Fu-hua

doi:10.3969/j.issn.1671-637x.2014.02.009

[1] DONOHO D L.Compressed sensing［J］.IEEE Transactions on Information Theory, 2006, 52(4):1289-1306.

[2] PAREDES J L, ARCE G R, WANG Z M.Ultra-wideband compressed sensing:Channel estimation［J］.IEEE Journal of Selected Topics in Signal Processing, 2007, 1(3):383-395.

[3] YU H N, GUO S X.Research on CS-based channel estimation methods for UWB communications ［J］.Journal of Electronics & Information Technology, 2012, 34(6)：1452-1456.

[4] JI S H，XUE Y，CARIN L．Bayesian compressive sensing［J］．IEEE Transactions on Sighal Processing, 2008，56(6):2346-2356．

[5] YAN R M, WAN Q, YANG W L.et al.Greedy approach to sparse multi-path channel estimation using sensing dictionary［J］.International Journal of Adaptive Control and Signal Processing, 2011, 25(6):544-553.

[6] BAH B, TANNER J.Improved bounds on restricted isometry constants for Guassian matrices［J］.SIAM Journal on Matrix Analysis and Applications, 2010, 31(5):2882-2898.

[7] TSAIG Y, DONOHO D L.Extensions of compressed sen-sing［J］.Signal Processing, 2006, 86(3):533-548.

[8] DAVENPORT M A, WAKIN M B, BARANIUK R G.Detection and estimation with compressive measurements［R］．Technical Report TREE，Department of Electrical Engineering，Rice University，USA，2006．

[9] LI J, WANG Q, SHEN Y, et al.Collaborative construction of measurement matrix and reconstruction algorithm in compressive sensing［J］.Acta Electronica Sinica, 2013, 41(1)：29-34.

[10] SUSTIK M A.TROPP J A, DHILLON I S, et al.On the existence of equiangular tight frames［J］．Linear Algebra and Its Applications, 2007, 426(2/3):619-635.