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Consider a parallel Gaussian channel with M sub-channels each of which experiences independent flat fading. There exists a smart jammer which is capable of intercepting the feedback channel message such that Channel State Information (CSI) measured and sent back by a receiver can be perfectly known to the jammer, as well. The authors formulate a novel two-layer two-person zero-sum game. Under this zero-sum game framework, the following three fundamental questions are addressed. The first one is about whether to hop or to spread power over M frequency bands given the full CSI at both transmitter and jammer sides. They prove that spreading versus spreading is the Nash equilibrium point.
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