Capacity Bound of MIMO Systems with MPSK Modulation and Time-Multiplexed Pilots

Yifei ZHAO; Ming ZHAO; Yunzhou LI; Jing WANG

doi:10.1093/ietcom/e89-b.9.2629

Capacity Bound of MIMO Systems with MPSK Modulation and Time-Multiplexed Pilots

Yifei ZHAO, Ming ZHAO, Yunzhou LI, Jing WANG

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In this letter, we elucidate the ergodic capacity of multiple-input multiple-output (MIMO) systems with M-ary phase-shift keying (MPSK) modulation and time-multiplexed pilots in frequency-flat Rayleigh fading environment. With linear minimum mean square error (LMMSE) channel estimation, the optimal pilots design is presented. For mathematical tractability, we derive an easy-computing closed-form lower bound of the channel capacity. Based on the lower bound, the optimal power allocation between the data and pilots is also presented in closed-form, and the optimal training length is investigated by numerical optimization. It is shown that the transmit scheme with equal training and data power and optimized training length provides suboptimal performance, and the transmit scheme with optimized training length and training power is optimal. With the latter scheme, in most situations, the optimal training length equals the number of the transmit antennas and the corresponding optimal power allocation can be easily computed with the proposed formula.

Publication: IEICE TRANSACTIONS on Communications Vol.E89-B No.9 pp.2629-2632

Publication Date: 2006/09/01

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Online ISSN: 1745-1345

DOI: 10.1093/ietcom/e89-b.9.2629

Type of Manuscript: LETTER

Category: Wireless Communication Technologies

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Yifei ZHAO, Ming ZHAO, Yunzhou LI, Jing WANG, "Capacity Bound of MIMO Systems with MPSK Modulation and Time-Multiplexed Pilots" in IEICE TRANSACTIONS on Communications, vol. E89-B, no. 9, pp. 2629-2632, September 2006, doi: 10.1093/ietcom/e89-b.9.2629.
Abstract: In this letter, we elucidate the ergodic capacity of multiple-input multiple-output (MIMO) systems with M-ary phase-shift keying (MPSK) modulation and time-multiplexed pilots in frequency-flat Rayleigh fading environment. With linear minimum mean square error (LMMSE) channel estimation, the optimal pilots design is presented. For mathematical tractability, we derive an easy-computing closed-form lower bound of the channel capacity. Based on the lower bound, the optimal power allocation between the data and pilots is also presented in closed-form, and the optimal training length is investigated by numerical optimization. It is shown that the transmit scheme with equal training and data power and optimized training length provides suboptimal performance, and the transmit scheme with optimized training length and training power is optimal. With the latter scheme, in most situations, the optimal training length equals the number of the transmit antennas and the corresponding optimal power allocation can be easily computed with the proposed formula.
URL: https://global.ieice.org/en_transactions/communications/10.1093/ietcom/e89-b.9.2629/_p

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@ARTICLE{e89-b_9_2629,
author={Yifei ZHAO, Ming ZHAO, Yunzhou LI, Jing WANG, },
journal={IEICE TRANSACTIONS on Communications},
title={Capacity Bound of MIMO Systems with MPSK Modulation and Time-Multiplexed Pilots},
year={2006},
volume={E89-B},
number={9},
pages={2629-2632},
abstract={In this letter, we elucidate the ergodic capacity of multiple-input multiple-output (MIMO) systems with M-ary phase-shift keying (MPSK) modulation and time-multiplexed pilots in frequency-flat Rayleigh fading environment. With linear minimum mean square error (LMMSE) channel estimation, the optimal pilots design is presented. For mathematical tractability, we derive an easy-computing closed-form lower bound of the channel capacity. Based on the lower bound, the optimal power allocation between the data and pilots is also presented in closed-form, and the optimal training length is investigated by numerical optimization. It is shown that the transmit scheme with equal training and data power and optimized training length provides suboptimal performance, and the transmit scheme with optimized training length and training power is optimal. With the latter scheme, in most situations, the optimal training length equals the number of the transmit antennas and the corresponding optimal power allocation can be easily computed with the proposed formula.},
keywords={},
doi={10.1093/ietcom/e89-b.9.2629},
ISSN={1745-1345},
month={September},}

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TY - JOUR
TI - Capacity Bound of MIMO Systems with MPSK Modulation and Time-Multiplexed Pilots
T2 - IEICE TRANSACTIONS on Communications
SP - 2629
EP - 2632
AU - Yifei ZHAO
AU - Ming ZHAO
AU - Yunzhou LI
AU - Jing WANG
PY - 2006
DO - 10.1093/ietcom/e89-b.9.2629
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E89-B
IS - 9
JA - IEICE TRANSACTIONS on Communications
Y1 - September 2006
AB - In this letter, we elucidate the ergodic capacity of multiple-input multiple-output (MIMO) systems with M-ary phase-shift keying (MPSK) modulation and time-multiplexed pilots in frequency-flat Rayleigh fading environment. With linear minimum mean square error (LMMSE) channel estimation, the optimal pilots design is presented. For mathematical tractability, we derive an easy-computing closed-form lower bound of the channel capacity. Based on the lower bound, the optimal power allocation between the data and pilots is also presented in closed-form, and the optimal training length is investigated by numerical optimization. It is shown that the transmit scheme with equal training and data power and optimized training length provides suboptimal performance, and the transmit scheme with optimized training length and training power is optimal. With the latter scheme, in most situations, the optimal training length equals the number of the transmit antennas and the corresponding optimal power allocation can be easily computed with the proposed formula.
ER -