Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay

Download

index.pdf

Date

2010-07-01

Author

Leveque, Olivier
Vignat, Christophe
Yüksel Turgut, Ayşe Melda

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

128
views

37
downloads

In this paper, we investigate the diversity-multiplexing tradeoff (DMT) of the multiple-antenna (MIMO) static half-duplex relay channel. A general expression is derived for the DMT upper bound, which can be achieved by a compress-and-forward protocol at the relay, under certain assumptions. The DMT expression is given as the solution of a minimization problem in general, and an explicit expression is found when the relay channel is symmetric in terms of number of antennas, i.e., the source and the destination have n antennas each, and the relay has m antennas. It is observed that the static half-duplex DMT matches the full-duplex DMT when the relay has a single antenna, and is strictly below the full-duplex DMT when the relay has multiple antennas. Besides, the derivation of the upper bound involves a new asymptotic study of spherical integrals (that is, integrals with respect to the Haar measure on the unitary group u(n)), which is a topic of mathematical interest in itself.

Subject Keywords

Cooperation, diversity-multiplexing tradeoff (DMT), fading channels, multiple-input multiple-output (MIMO), relay channel, spherical integrals, wireless networks, COOPERATIVE DIVERSITY

URI

https://hdl.handle.net/11511/96654

Journal

IEEE TRANSACTIONS ON INFORMATION THEORY

DOI

https://doi.org/10.1109/tit.2010.2048471

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay Leveque, Olivier; Vignat, Christophe; Yüksel Turgut, Ayşe Melda (2009-01-01) In this work, we investigate the diversity-multiplexing tradeoff (DMT) of the multiple-antenna (MIMO) static half-duplex relay channel. The relay channel is assumed to be symmetric in terms of number of antennas, i.e. the source and the destination have n antennas each, and the relay has m antennas. A general expression is derived for the DMT upper bound, which can be achieved by a compress-and-forward protocol at the relay, under certain assumptions. It is observed that the static half-duplex DMT matches t...
Diversity-multiplexing tradeoff in half-duplex relay systems Yüksel Turgut, Ayşe Melda; Erkip, Elza (2007-01-01) We study the multiple antenna half-duplex relay channel from the diversity-multiplexing tradeoff (DMT) perspective. We find performance upper bounds and show that compress-and-forward (CF) protocol achieves the upper bound. We argue that although it is hard to find the exact DMT expressions for decode-and-forward (DF) type protocols, they would be suboptimal in the multiple antenna case. We also study the multiple-access relay channel (MARC), and evaluate how CF works in this system. Our results show that C...
Total outage capacity of randomly-spread coded-CDMA with linear multiuser receivers over multipath fading channels Ertug, O; Sayrac, B; Baykal, Buyurman; Yucel, MD (2003-07-03) We address in this paper the derivation and analysis of the outage spectral efficiencies achievable with linear multiuser receivers over randomly-spread multipath fading time-varying coded-CDMA channels. The basis of the derivations is the use of non-asymptotic average eigenvalue densities of random cross-correlation matrices. The analysis give important clues on the achievable capacity with linear multiuser receivers under non-ergodic transmission situations.
One-Bit OFDM Receivers via Deep Learning Balevi, Eren; Andrews, Jeffrey G. (2019-06-01) This paper develops novel deep learning-based architectures and design methodologies for an orthogonal frequency division multiplexing (OFDM) receiver under the constraint of one-bit complex quantization. Single bit quantization reduces greatly the complexity and power consumption but makes accurate channel estimation and data detection difficult. This is particularly true for multicarrier waveforms that have high peak-to-average power ratio in the time domain and fragile subcarrier orthogonality in the fre...
Diversity-Multiplexing Tradeoff for the Multiple-Antenna Wire-tap Channel Yüksel Turgut, Ayşe Melda; Erkip, Elza (2011-03-01) In this paper the fading multiple antenna (MIMO) wire-tap channel is investigated under short term power constraints. The secret diversity gain and the secret multiplexing gain are defined. Using these definitions, the secret diversity-multiplexing tradeoff (DMT) is calculated analytically for no transmitter side channel state information (CSI) and for full CSI. When there is no CSI at the transmitter, under the assumption of Gaussian codebooks, it is shown that the eavesdropper steals both transmitter and ...

Citation Formats

O. Leveque, C. Vignat, and A. M. Yüksel Turgut, “Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay,” IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 56, no. 7, pp. 3356–3368, 2010, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/96654.