Capacity Regions and Sum-Rate Capacities of Vector Gaussian Interference Channels
Xiaohu Shang, Biao Chen, Gerhard Kramer, H. Vincent Poor

TL;DR
This paper characterizes the capacity regions and sum-rate capacities of vector Gaussian interference channels under various interference regimes, extending known scalar results to MIMO systems.
Contribution
It provides new capacity region and sum-rate capacity results for vector Gaussian interference channels in multiple interference scenarios, generalizing scalar channel findings.
Findings
Capacity regions for very strong and aligned strong interference
Sum-rate capacities for Z, noisy, and mixed interference cases
Generalization of scalar Gaussian interference channel results
Abstract
The capacity regions of vector, or multiple-input multiple-output, Gaussian interference channels are established for very strong interference and aligned strong interference. Furthermore, the sum-rate capacities are established for Z interference, noisy interference, and mixed (aligned weak/intermediate and aligned strong) interference. These results generalize known results for scalar Gaussian interference channels.
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