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RIS-aided millimeter wave wireless systems benefit from robustness toblockage and enhanced coverage. In this paper, we study the ability of RIS toalso provide enhanced localization capabilities as a by-product ofcommunication. We consider sparse reconstruction algorithms to obtain highresolution channel estimates that are mapped to position information. InRIS-aided mmWave systems, the complexity of sparse recovery becomes abottleneck, given the large number of elements of the RIS and the largecommunication arrays. We propose to exploit a multidimensional orthogonalmatching pursuit strategy for compressive channel estimation in a RIS-aidedmillimeter wave system. We show how this algorithm, based on computing theprojections on a set of independent dictionaries instead of a single largedictionary, enables high accuracy channel estimation at reduced complexity. Wealso combine this strategy with a localization approach which does not rely onthe absolute time of arrival of the LoS path. Localization results in arealistic 3D indoor scenario show that RIS-aided wireless system can alsobenefit from a significant improvement in localization accuracy.

Multidimensional Orthogonal Matching Pursuit-based RIS-aided Joint Localization and Channel Estimation at mmWave