NDLI: On the Product-Determinant-Sum of Central Wishart Matrices and Its Application to Wireless Networks

Content Provider	IEEE Xplore Digital Library
Author	Feng Xue Jun Shi
Copyright Year	1963
Abstract	Abstract-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. central Wishart matrix vectors, is provided. Specifically, suppose each vector has K Wishart matrices of format GG with G of dimension N_r × N_t. Then for any subset of size n^α, the K determinants, each being the sum over one of the vector elements, will have a product no less than exp{K N_r(1+ 1/K N_rN_t)(α - α) log n}, for all a between α := 1/(1 + K N_rN_t) 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 N_r/1 + K N_rN_t log n bit/s/Hz/cell when n goes to infinity, where n,K, N_r, N_t 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.
Sponsorship	IEEE Information Theory Society
Starting Page	3413
Ending Page	3421
Page Count	9
File Size	396709
File Format	PDF
ISSN	00189448
Volume Number	56
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wireless networks Throughput H infinity control Decoding Receiving antennas Collaboration Working environment noise Noise cancellation Interference cancellation Transmitting antennas wireless networks Information theory interference scaling laws wireless communications
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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