Beyond Multiplexing Gain in Large MIMO Systems

Burak Cakmak, Ralf R. Müller, Bernard Henri Fleury

Publikation: Konferencebidrag uden forlag/tidsskriftPosterForskning

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Resumé

Given the common technical assumptions in the literature on MIMO channel modeling, we derive generic results for MIMO systems in the large system limit LSL. Consider a $\ phi T\ times T $ MIMO system with $ T $ tending to infinity. By increasing the antenna ratio $\ phi $ when $\ phi\ geq 1$, the amount of capacity increase per receive antenna converges to the binary entropy function of the antenna ratio $1/\ phi $ at high SNR. We also show this" binary entropy increase" for $\ phi< 1$. Furthermore, we define the deviation of the effective capacity growth from the traditionally assumed linear growth (multiplexing gain). Even when the channel entries are i.i.d. the deviation from the linear growth is significant. We also find an additive property of the deviation for a concatenated MIMO system. Finally, we quantify the deviation of the large SNR capacity from the exact capacity and find an accurate approximation of it that is easy to calculate.
OriginalsprogEngelsk
Publikationsdatojun. 2013
Antal sider2
StatusUdgivet - jun. 2013
BegivenhedISIT 2013 - IEEE International Symposium on Information Theory - Istanbul, Tyrkiet
Varighed: 7 jul. 201312 jul. 2013

Konference

KonferenceISIT 2013 - IEEE International Symposium on Information Theory
LandTyrkiet
ByIstanbul
Periode07/07/201312/07/2013

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Multiplexing
MIMO systems
Antennas
Entropy

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Cakmak, B., Müller, R. R., & Fleury, B. H. (2013). Beyond Multiplexing Gain in Large MIMO Systems. Poster præsenteret på ISIT 2013 - IEEE International Symposium on Information Theory, Istanbul, Tyrkiet.
Cakmak, Burak ; Müller, Ralf R. ; Fleury, Bernard Henri. / Beyond Multiplexing Gain in Large MIMO Systems. Poster præsenteret på ISIT 2013 - IEEE International Symposium on Information Theory, Istanbul, Tyrkiet.2 s.
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abstract = "Given the common technical assumptions in the literature on MIMO channel modeling, we derive generic results for MIMO systems in the large system limit LSL. Consider a $\ phi T\ times T $ MIMO system with $ T $ tending to infinity. By increasing the antenna ratio $\ phi $ when $\ phi\ geq 1$, the amount of capacity increase per receive antenna converges to the binary entropy function of the antenna ratio $1/\ phi $ at high SNR. We also show this{"} binary entropy increase{"} for $\ phi< 1$. Furthermore, we define the deviation of the effective capacity growth from the traditionally assumed linear growth (multiplexing gain). Even when the channel entries are i.i.d. the deviation from the linear growth is significant. We also find an additive property of the deviation for a concatenated MIMO system. Finally, we quantify the deviation of the large SNR capacity from the exact capacity and find an accurate approximation of it that is easy to calculate.",
keywords = "MIMO channels, Random matrix theory",
author = "Burak Cakmak and M{\"u}ller, {Ralf R.} and Fleury, {Bernard Henri}",
year = "2013",
month = "6",
language = "English",
note = "ISIT 2013 - IEEE International Symposium on Information Theory ; Conference date: 07-07-2013 Through 12-07-2013",

}

Cakmak, B, Müller, RR & Fleury, BH 2013, 'Beyond Multiplexing Gain in Large MIMO Systems', ISIT 2013 - IEEE International Symposium on Information Theory, Istanbul, Tyrkiet, 07/07/2013 - 12/07/2013.

Beyond Multiplexing Gain in Large MIMO Systems. / Cakmak, Burak; Müller, Ralf R.; Fleury, Bernard Henri.

2013. Poster præsenteret på ISIT 2013 - IEEE International Symposium on Information Theory, Istanbul, Tyrkiet.

Publikation: Konferencebidrag uden forlag/tidsskriftPosterForskning

TY - CONF

T1 - Beyond Multiplexing Gain in Large MIMO Systems

AU - Cakmak, Burak

AU - Müller, Ralf R.

AU - Fleury, Bernard Henri

PY - 2013/6

Y1 - 2013/6

N2 - Given the common technical assumptions in the literature on MIMO channel modeling, we derive generic results for MIMO systems in the large system limit LSL. Consider a $\ phi T\ times T $ MIMO system with $ T $ tending to infinity. By increasing the antenna ratio $\ phi $ when $\ phi\ geq 1$, the amount of capacity increase per receive antenna converges to the binary entropy function of the antenna ratio $1/\ phi $ at high SNR. We also show this" binary entropy increase" for $\ phi< 1$. Furthermore, we define the deviation of the effective capacity growth from the traditionally assumed linear growth (multiplexing gain). Even when the channel entries are i.i.d. the deviation from the linear growth is significant. We also find an additive property of the deviation for a concatenated MIMO system. Finally, we quantify the deviation of the large SNR capacity from the exact capacity and find an accurate approximation of it that is easy to calculate.

AB - Given the common technical assumptions in the literature on MIMO channel modeling, we derive generic results for MIMO systems in the large system limit LSL. Consider a $\ phi T\ times T $ MIMO system with $ T $ tending to infinity. By increasing the antenna ratio $\ phi $ when $\ phi\ geq 1$, the amount of capacity increase per receive antenna converges to the binary entropy function of the antenna ratio $1/\ phi $ at high SNR. We also show this" binary entropy increase" for $\ phi< 1$. Furthermore, we define the deviation of the effective capacity growth from the traditionally assumed linear growth (multiplexing gain). Even when the channel entries are i.i.d. the deviation from the linear growth is significant. We also find an additive property of the deviation for a concatenated MIMO system. Finally, we quantify the deviation of the large SNR capacity from the exact capacity and find an accurate approximation of it that is easy to calculate.

KW - MIMO channels

KW - Random matrix theory

M3 - Poster

ER -

Cakmak B, Müller RR, Fleury BH. Beyond Multiplexing Gain in Large MIMO Systems. 2013. Poster præsenteret på ISIT 2013 - IEEE International Symposium on Information Theory, Istanbul, Tyrkiet.