Direction finding with L1-norm subspaces

Panos P. Markopoulos, Nicholas Tsagkarakis, Dimitris A. Pados, George N. Karystinos · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2014

Conventional subspace-based signal direction-of-arrival estimation methods rely on the familiar L2-norm-derived principal components (singular vectors) of the observed sensor-array data matrix. In this paper, for the first time in the literature, we find the L1-norm maximum projection components of the observed data and search in their subspace for signal presence. We demonstrate that L1-subspace direction-of-arrival estimation exhibits (i) similar performance to L2 (usual singular-value/eigen-vector decomposition) direction-of-arrival estimation under normal nominal-data system operation and (ii) significant resistance to sporadic/occasional directional jamming and/or faulty measurements.

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