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This paper considers the minimum mean p-th error (MMPE) estimation problem: estimating a random vector in the presence of additive white Gaussian noise (AWGN) in order to minimize an Lp norm of the estimation error. The MMPE generalizes the classical minimum mean square error (MMSE) estimation problem. This paper derives basic properties of the optimal MMPE estimator and MMPE functional. Optimal estimators...
A type of state-dependent Gaussian Z-interference channels is studied, in which transmitters 1 and 2 wish to send two messages to receivers 1 and 2, and only receiver 1 is interfered by transmitter 2's signal. Both receivers are corrupted by the same but differently scaled state sequence. The state information is assumed to be known noncausally at both transmitters. The channel is partitioned into...
The problem of simultaneously generating two keys for a cellular model is investigated, in which each of four terminals, X0, X1, X2, and X3 observes one component of correlated sources. The terminal X0 wishes to generate secret keys K1 and K2 respectively, with terminals X1 and X2 under the help of terminal X3. They are allowed to communicate over a public channel. Both K1 and K2 are required to be...
We consider a two-user state-dependent multiaccess channel in which the states of the channel are known, causally or only strictly causally, at both encoders, but not at the decoder. Both encoders transmit a common message and, one of the encoders also transmits an individual message. We study the capacity region of this communication model for both causal and strictly causal settings. For the model...
We study the capacity regions of broadcast channels with binary inputs and symmetric outputs. We study the partial order induced by the more capable ordering of broadcast channels for channels belonging to this class. In particular this leads to some surprising connections regarding various notions of dominance of receivers. This study also helps us isolate some classes of symmetric channels where...
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