On MIMO phase noise channels at high SNR

Sheng Yang; Shlomo Shamai

doi:10.1109/ITW.2016.7606845

On MIMO phase noise channels at high SNR

Sheng Yang, Shlomo Shamai

Electrical and Computer Engineering

Technion - Israel Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider the point-to-point multi-input-multiple-output (MIMO) channel with phase uncertainty (MIMO phase noise channel) at high SNR. With phase noise on the individual paths of the channel (model A), we show that the multiplexing gain is 1/2, which implies that the capacity does not scale with the channel dimension at high SNR. With phase noise at both the input and output of the channel (model B), the multiplexing gain is upper-bounded by 1/2 min n_t, (n_r-2)⁺+ 1, and lower-bounded by 1/2 min n_t,+1/2⌋, where n_t and n_r are the number of transmit and receive antennas, respectively. The multiplexing gain is enhanced to 1/2 min n_t, n_r without receive phase noise, and to 1/2 min 2n_t-1, n_r without transmit phase noise. Our main results rely on the derivation of non-trivial upper and lower bounds on the capacity of such channels.

Original language	English
Title of host publication	2016 IEEE Information Theory Workshop, ITW 2016
Pages	305-309
Number of pages	5
ISBN (Electronic)	9781509010905
DOIs	https://doi.org/10.1109/ITW.2016.7606845
State	Published - 21 Oct 2016
Event	2016 IEEE Information Theory Workshop, ITW 2016 - Cambridge, United Kingdom Duration: 11 Sep 2016 → 14 Sep 2016

Publication series

Name	2016 IEEE Information Theory Workshop, ITW 2016

Conference

Conference	2016 IEEE Information Theory Workshop, ITW 2016
Country/Territory	United Kingdom
City	Cambridge
Period	11/09/16 → 14/09/16

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Information Systems
Software
Signal Processing

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10.1109/ITW.2016.7606845

Cite this

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title = "On MIMO phase noise channels at high SNR",

abstract = "We consider the point-to-point multi-input-multiple-output (MIMO) channel with phase uncertainty (MIMO phase noise channel) at high SNR. With phase noise on the individual paths of the channel (model A), we show that the multiplexing gain is 1/2, which implies that the capacity does not scale with the channel dimension at high SNR. With phase noise at both the input and output of the channel (model B), the multiplexing gain is upper-bounded by 1/2 min nt, (nr-2)++ 1, and lower-bounded by 1/2 min nt,+1/2⌋, where nt and nr are the number of transmit and receive antennas, respectively. The multiplexing gain is enhanced to 1/2 min nt, nr without receive phase noise, and to 1/2 min 2nt-1, nr without transmit phase noise. Our main results rely on the derivation of non-trivial upper and lower bounds on the capacity of such channels.",

author = "Sheng Yang and Shlomo Shamai",

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day = "21",

doi = "10.1109/ITW.2016.7606845",

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N2 - We consider the point-to-point multi-input-multiple-output (MIMO) channel with phase uncertainty (MIMO phase noise channel) at high SNR. With phase noise on the individual paths of the channel (model A), we show that the multiplexing gain is 1/2, which implies that the capacity does not scale with the channel dimension at high SNR. With phase noise at both the input and output of the channel (model B), the multiplexing gain is upper-bounded by 1/2 min nt, (nr-2)++ 1, and lower-bounded by 1/2 min nt,+1/2⌋, where nt and nr are the number of transmit and receive antennas, respectively. The multiplexing gain is enhanced to 1/2 min nt, nr without receive phase noise, and to 1/2 min 2nt-1, nr without transmit phase noise. Our main results rely on the derivation of non-trivial upper and lower bounds on the capacity of such channels.

AB - We consider the point-to-point multi-input-multiple-output (MIMO) channel with phase uncertainty (MIMO phase noise channel) at high SNR. With phase noise on the individual paths of the channel (model A), we show that the multiplexing gain is 1/2, which implies that the capacity does not scale with the channel dimension at high SNR. With phase noise at both the input and output of the channel (model B), the multiplexing gain is upper-bounded by 1/2 min nt, (nr-2)++ 1, and lower-bounded by 1/2 min nt,+1/2⌋, where nt and nr are the number of transmit and receive antennas, respectively. The multiplexing gain is enhanced to 1/2 min nt, nr without receive phase noise, and to 1/2 min 2nt-1, nr without transmit phase noise. Our main results rely on the derivation of non-trivial upper and lower bounds on the capacity of such channels.

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DO - 10.1109/ITW.2016.7606845

M3 - منشور من مؤتمر

T3 - 2016 IEEE Information Theory Workshop, ITW 2016

SP - 305

EP - 309

BT - 2016 IEEE Information Theory Workshop, ITW 2016

T2 - 2016 IEEE Information Theory Workshop, ITW 2016

Y2 - 11 September 2016 through 14 September 2016

ER -

On MIMO phase noise channels at high SNR

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