On the impact of signals time-frequency sparsity on the localization performance

Abstract

In this paper, we investigate the localization performance of far field sources that have sparse time-frequency (T-F) representations. The Cramér-Rao Bound (CRB) under the sparsity assumption is developed and the impact of the T-F sparsity prior on the localization performance is analyzed. In particular, one studies how the different T-F sparsity properties i.e. local SNR level, source supports spreading and source overlapping and orthogonality affect the CRB of the Direction-of-Arrival (DoA) estimation. The obtained results show that the sources T-F orthogonality has the most significant impact on the localization performance. Simulation results are provided to illustrate the concluding remarks made out of this study.

DOI: 10.1109/EUSIPCO.2016.7760587

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Cite this paper

@article{Boudjellal2016OnTI, title={On the impact of signals time-frequency sparsity on the localization performance}, author={Abdelouahab Boudjellal and V. D. Nguyen and Karim Abed-Meraim and Adel Belouchrani and Philippe Ravier}, journal={2016 24th European Signal Processing Conference (EUSIPCO)}, year={2016}, pages={1941-1945} }