|The Arbitrarily Varying Channel with Colored Gaussian Noise
|Uzi Pereg, Technical University of Munich, Germany; Yossef Steinberg, Technion, Israel
|S.4: Channels with State
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|We address the AVC with colored Gaussian noise. The paper consists of three parts. First, we study the AVC with fixed parameters, a model that combines the AVC and the time-varying channel. We determine both the deterministic and random code capacities and demonstrate super-additivity. In the second part, we consider the arbitrarily varying Gaussian product channel. The random code capacity was previously characterized by ”double” water filling. We establish the deterministic code capacity and show that using independent scalar codes is suboptimal. Finally, we establish the capacity of the AVC with colored Gaussian noise, where double water filling is performed in the frequency domain. The analysis relies on our preceding results.