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Capacity Regions and Sum-Rate Capacities of Vector Gaussian Interference Channels
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.Comment: 33 pages, 1 figure, submitted to IEEE trans. on Information theor
Achievable Rates for K-user Gaussian Interference Channels
The aim of this paper is to study the achievable rates for a user
Gaussian interference channels for any SNR using a combination of lattice and
algebraic codes. Lattice codes are first used to transform the Gaussian
interference channel (G-IFC) into a discrete input-output noiseless channel,
and subsequently algebraic codes are developed to achieve good rates over this
new alphabet. In this context, a quantity called efficiency is introduced which
reflects the effectiveness of the algebraic coding strategy. The paper first
addresses the problem of finding high efficiency algebraic codes. A combination
of these codes with Construction-A lattices is then used to achieve non trivial
rates for the original Gaussian interference channel.Comment: IEEE Transactions on Information Theory, 201
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