Max-Min SNR: an optimum approach to array antenna signal processing for GPS anti-jamming – Problem statements, theoretical results, and solution strategies


  1. Yasotharan, A.
Corporate Authors
Defence R&D Canada - Ottawa, Ottawa ONT (CAN)
Global Positioning System (GPS) receivers are extremely vulnerable to jamming. One mitigation method is to use a CRPA (Controlled Reception Pattern Antenna) which is an array antenna whose signal outputs are weighted-and-summed and fed into the GPS receiver. Ideally, the weights must be chosen so as to null the jammers and receive with high strength all satellite signals. This is a challenging problem if the GPS receiver has one common input port through which all satellite signals are received. In conventional CRPA, the weights are calculated without considering where the satellites or jammers are located. In this approach, there is limited control over the reception pattern of the array antenna. In this report, we propose a class of optimal approaches that assume knowledge of the directions of arrival (DOA) of the visible satellites. Within this, three variations are presented: 1) maximize satellites’ SINR (Signal-to-Interference-plus-Noise Ratio) assuming that jammers-plus-noise covariance is known, 2) maximize satellites’ SNR (Signal-to-Noise Ratio) while nulling the jammers, assuming that jammer DOAs are known, 3) a hybrid of these. The maximization is in the ‘max-min SINR’ and ‘max-min SNR’ senses, where the ‘min’ is over the satellites. We show that all three variations can be reduced to the same generic form where a ‘max-min SNR’ problem is solved as if there were no jammers. We show a connection between the ‘max-min SNR’ and ‘max weighted-av

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Report Number
DRDC-OTTAWA-TM-2011-202 — Technical Memorandum
Date of publication
01 Dec 2011
Number of Pages
Electronic Document(PDF)

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