This paper deals with the time domain estimation of OFDM channels in the case of a limited number of pilot tones. In such situations, time domain estimation suffers from an ill conditioned sample matrix which render the Least Square (LS) algorithm non efficient. To improve the estimation procedure, two algorithms are proposed. The first algorithm improves the conditioning of the LS matrix by adding a corrective term or penalization factor to the LS pseudo inverse matrix. The second algorithm tries to partially remove the effect of the penalization factor iteratively. Computational results are provided for the case of crosstalk channel estimation in DSL system these results show the effectiveness of the different methods.
Kalakech, A., Berbineau, M., Louveaux, J., & Vandendorpe, L. (2012). Time Domain Channel Estimation in OFDM Systems Using limited number of Pilot Tones. Proceedings International Symposium on Signal, Image, Video and Communications 2012. Published. International Symposium on Signal, Image, Video and Communications, Valenciennes, France. https://hdl.handle.net/2078.5/230270