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G. Tauböck, F. Hlawatsch, D. Eiwen, H. Rauhut:
"Compressive estimation of doubly selective channels in multicarrier systems: Leakage effects and sparsity-enhancing processing";
IEEE Journal of Selected Topics in Signal Processing, 4 (2010), 2; S. 255 - 271.

We consider the application of compressed sensing (CS) to the estimation of doubly selective channels within pulse-shaping multicarrier systems (which include orthogonal frequency-division multiplexing (OFDM) systems as a special case). By exploiting sparsity in the delay-Doppler domain, CS-based channel estimation allows for an increase in spectral efficiency through a reduction of the number of pilot symbols. For combating leakage effects that limit the delay-Doppler sparsity, we propose a sparsity-enhancing basis expansion and a method for optimizing the basis with or without prior statistical information about the channel. We also present an alternative CS-based channel estimator for (potentially) strongly time-frequency dispersive channels, which is capable of estimating the "off-diagonal" channel coefficients characterizing intersymbol and intercarrier interference (ISI/ICI). For this estimator, we propose a basis construction combining Fourier (exponential) and prolate spheroidal sequences. Simulation results assess the performance gains achieved by the proposed sparsity-enhancing processing techniques and by explicit estimation of ISI/ICI channel coefficients.

channel estimation, compressed sensing, CoSaMP, dictionary learning, doubly selective channel, intercarrier interference, intersymbol interference, Lasso, multicarrier modulation, OFDM, orthogonal matching pursuit, OMP

http://publik.tuwien.ac.at/files/PubDat_187388.pdf