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Efficient GNSS Jamming Mitigation Using the Marcenko Pastur Law and Karhunen–Loeve Decomposition

Omid Sharifi‐Tehrani, Mohamad Farzan Sabahi, M. R. Danaee

2021IEEE Transactions on Aerospace and Electronic Systems27 citationsDOI

Abstract

The efficiency of using Karhunen–Loeve (KL) decomposition for retrieving global navigation satellite system (GNSS) signals from interference has been proven in the literature. The main drawback is its high computational cost. To get the potential benefit of its capability alongside reduction in computational demand, we consider an inverse strategy. Our proposed method applies the Marcenko–Pastur law to the sample covariance matrix of the received signal to systematically distinguish the jamming-related eigenvalues. Then, the KL coefficients of jamming signal are estimated and a synthetic replica of jamming signal is built and subtracted from the received signal. Simulation results indicate that our proposed method significantly outperforms other existing methods in terms of how it handles jamming signals in GNSS receivers. The impact of the jamming power on the performance of the proposed algorithm is also studied analytically.

Topics & Concepts

JammingGNSS applicationsCovariance matrixSIGNAL (programming language)Computer scienceKarhunen–Loève theoremAlgorithmMatrix decompositionInterference (communication)Reduction (mathematics)Mathematical optimizationEigenvalues and eigenvectorsMathematicsTelecommunicationsGlobal Positioning SystemPhysicsChannel (broadcasting)Programming languageQuantum mechanicsGeometryThermodynamicsRadar Systems and Signal ProcessingDirection-of-Arrival Estimation TechniquesRandom Matrices and Applications
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