NDLI: <formula formulatype=inline><tex Notation=TeX>$(n,K)$</tex> </formula>-User Interference Channels: Degrees of Freedom

Content Provider	IEEE Xplore Digital Library
Author	Tajer, A. Xiaodong Wang
Copyright Year	1963
Abstract	This paper analyzes the gains of opportunistic communication in multiuser interference channels. Consider a fully connected n-user Gaussian interference channel. At each time instance, only K≤n transmitters are allowed to be communicating with their respective receivers and the remaining (n-K) transmitter-receiver pairs remain inactive. For finite n, if the transmitters can acquire the instantaneous channel realizations and if all channel gains are bounded away from zero and infinity, the seminal results on interference alignment establish that for any K arbitrary active pairs the total number of spatial degrees of freedom per orthogonal time and frequency domain is K/2. In dense networks (n → ∞), however, as the size of the network increases, it becomes less likely to sustain the bounding conditions on the channel gains. By exploiting this fact, we show that when n obeys certain scaling laws, by opportunistically and dynamically selecting the K active pairs at each time instance, the number of degrees of freedom can exceed K/2 and in fact can be made arbitrarily close to K. More specifically, for single-antenna transmitters and receivers, the network size scaling as n ∈ ω(SNR^d⌈d-1⌉) when power allocation is allowed and scaling as n ∈ ω(SNR^d(K-1)) without power allocation are sufficient conditions for achieving d ∈ [1, K] degrees of freedom. Moreover, for achieving these degrees of freedom the transmitters do not require the knowledge of the instantaneous channel realizations. Hence, invoking opportunistic communication in the context of interference channels leads to achieving higher degrees of freedom that are not achievable otherwise. We extend the results for multi-antenna Gaussian interference channels.
Sponsorship	IEEE Information Theory Society
Starting Page	5338
Ending Page	5353
Page Count	16
File Size	4229301
File Format	PDF
ISSN	00189448
Volume Number	58
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Interference channels Receivers Transmitters Signal to noise ratio Resource management Decoding scaling law Degrees of freedom distributed interference channel opportunistic
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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