In this paper a basic cognitive jamming/anti-jamming problem is studied in the context of space communication. The scenario involves a pair of transmitter and receiver, and a cognitive jammer. The cognitive jammer is assumed to have powerful spectrum sensing capability that allows it to detect data transmission from the transmitter to the receiver over the communication channels. Accordingly the jammer uses a "detect and jam" strategy; while the transmitter-receiver side uses the direct frequency hopping spread spectrum approach to mitigate the jamming impact. The basic jamming/anti-jamming problem is formulated as a two-side zero sum game between the jammer and the transmitterreceiver sides. For spectrum sensing, it is assumed that the jammer uses the energy detection in a sliding window fashion, namely, sliding window energy detection. As a conservative strategy of the transmitter-receiver side, Maxmin solutions to the jamming/anti-jamming game are obtained under various conditions. The impacts of factors such as signal propagation delay, channel bandwidth, and jammer/receiver side signal noise ratio on the game results are discussed. The results show the potential threats of cognitive jammers and provide important information for the configuration of jamming resistant space communication networks.
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