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The optimal power allocation that maximizes the secrecy capacity of blockfading Gaussian (BF-Gaussian) networks with causal channel state information(CSI), M-block delay tolerance and a frame based power constraint is examined.In particular, we formulate the secrecy capacity maximization as a dynamicprogram. We propose suitable linear approximations of the secrecy capacitydensity in the low SNR, the high SNR and the intermediate SNR regimes,according to the overall available power budget. Our findings indicate thatwhen the available power resources are very low (low SNR case) the optimalstrategy is a threshold policy. On the other hand when the available powerbudget is infinite (high SNR case) a constant power policy maximizes the framesecrecy capacity. Finally, when the power budget is finite (medium SNR case),an approximate tractable power allocation policy is derived.

Optimal Power Allocation in Block Fading Gaussian Channels with Causal CSI and Secrecy Constraints