Elements of information theory
Elements of information theory
Interference alignment and the degrees of freedom of wireless X networks
IEEE Transactions on Information Theory
Information-theoretic considerations for symmetric, cellular, multiple-access fading channels. I
IEEE Transactions on Information Theory
Information-theoretic considerations for symmetric, cellular, multiple-access fading channels. II
IEEE Transactions on Information Theory
On the capacity of MIMO broadcast channels with partial side information
IEEE Transactions on Information Theory
Gaussian Interference Channel Capacity to Within One Bit
IEEE Transactions on Information Theory
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Inspired by multiaccess in dense cellular systems, the paper first considers minimizing the determinant of the sum of a subset of n i.i.d. central Wishart matrices, for any given size. When n goes to infinity, the exact scaling for more general case, selecting a subset to minimize the product-determinant-sum of n i.i.d. centralWishart matrix vectors, is provided. Specifically, suppose each vector has K Wishart matrices of format GG† with G of dimension Nr × Nt. Then for any subset of size nα, the K determinants, each being the sum over one of the vector elements, will have a product no less than exp{KNr(1+1/KNrNt)(α-α*)log n} for all α between α* := 1/(1+KNrNt) and 1. The paper then applies the results to study multiaccess with cross-cell collaborations in dense environment. When each cell allows multi-users to be on and decodes by treating signals from neighboring cells as noise, the maximum throughput is characterized and achieved by selecting users based on their channels. Specifically, if every cell allows same number of nodes to be on and decodes by successive interference cancellation for in-cell nodes, the maximum throughput is Nr/1+KNrNt log n bit/s/Hz/cell when n goes to infinity, where n, K, Nr, Nt are numbers of nodes per cell, neighbors per cell, receive antennas per user and transmit antennas per base station, respectively. It is also shown that time-sharing across cells achieves higher throughput, determined by the chromatic number of the interference graph.