Approximate Capacity of Fast Fading Interference Channels With no Instantaneous CSIT. Sebastian, J., Karakus, C., & Diggavi, S. IEEE Transactions on Communications, 66(12):6015-6027, Dec, 2018.
Approximate Capacity of Fast Fading Interference Channels With no Instantaneous CSIT [link]Arxiv  doi  abstract   bibtex   
We develop a characterization of fading models, which assigns a number called logarithmic Jensen's gap to a given fading model. We show that as a consequence of a finite logarithmic Jensen's gap, an approximate capacity region can be obtained for fast fading interference channels (FF-ICs) for several scenarios. We illustrate three instances where a constant capacity gap can be obtained as a function of the logarithmic Jensen's gap. First, for an FF-IC with neither feedback nor instantaneous channel state information at transmitter (CSIT), if the fading distribution has finite logarithmic Jensen's gap, we show that a rate-splitting scheme based on the average interference-to-noise ratio can achieve its approximate capacity. Second, we show that a similar scheme can achieve the approximate capacity of FF-IC with feedback and delayed CSIT, if the fading distribution has finite logarithmic Jensen's gap. Third, when this condition holds, we show that point-to-point codes can achieve approximate capacity for a class of FF-ICs with feedback. We prove that the logarithmic Jensen's gap is finite for common fading models, including Rayleigh and Nakagami fading, thereby obtaining the approximate capacity region of FF-IC with these fading models.
@article{8429509,
 abstract = {We develop a characterization of fading models, which assigns a number called logarithmic Jensen's gap to a given fading model. We show that as a consequence of a finite logarithmic Jensen's gap, an approximate capacity region can be obtained for fast fading interference channels (FF-ICs) for several scenarios. We illustrate three instances where a constant capacity gap can be obtained as a function of the logarithmic Jensen's gap. First, for an FF-IC with neither feedback nor instantaneous channel state information at transmitter (CSIT), if the fading distribution has finite logarithmic Jensen's gap, we show that a rate-splitting scheme based on the average interference-to-noise ratio can achieve its approximate capacity. Second, we show that a similar scheme can achieve the approximate capacity of FF-IC with feedback and delayed CSIT, if the fading distribution has finite logarithmic Jensen's gap. Third, when this condition holds, we show that point-to-point codes can achieve approximate capacity for a class of FF-ICs with feedback. We prove that the logarithmic Jensen's gap is finite for common fading models, including Rayleigh and Nakagami fading, thereby obtaining the approximate capacity region of FF-IC with these fading models.},
 author = {J. {Sebastian} and C. {Karakus} and S. {Diggavi}},
 doi = {10.1109/TCOMM.2018.2864266},
 issn = {1558-0857},
 journal = {IEEE Transactions on Communications},
 keywords = {approximation theory;channel capacity;diversity reception;fading channels;Gaussian channels;MIMO communication;Nakagami channels;radio transmitters;radiofrequency interference;Rayleigh channels;fast fading interference channels;finite logarithmic Jensen's gap;approximate capacity region;FF-IC;constant capacity gap;instantaneous channel state information;fading distribution;common fading models;Rayleigh channels;Receivers;Transmitters;Integrated circuit modeling;Interference;Interference channels;fast fading;capacity region;rate-splitting},
 month = {Dec},
 number = {12},
 pages = {6015-6027},
 tags = {journal,ANIT,WiNetnew,NCWN,WNIF},
 title = {Approximate Capacity of Fast Fading Interference Channels With no Instantaneous CSIT},
 type = {2},
 url_arxiv = {https://arxiv.org/abs/1706.03659},
 volume = {66},
 year = {2018}
}

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