Computer Science – Information Theory
Scientific paper
2012-02-01
Computer Science
Information Theory
29 pages, 7 figures
Scientific paper
A Multi-Input Multi-Output (MIMO) channel is defined by a transfer matrix $H$ which couples $m_t$ inputs into $m_r$ outputs. In the Jacobi channel $H$ is an $m_r \times m_t$ sub-matrix of an $m\times m$ Haar-distributed unitary matrix ($m\geq m_t,m_r$). The (squared) singular values of $H$ follow the law of the Jacobi ensemble, which form together with the Gaussian and Wishart ensembles the classical random matrix ensembles; hence the name of the channel. A motivation to define such a channel comes from multimode/multicore optical fiber communication. It turns out that this model is qualitatively different than the Rayleigh model, leading to interesting practical and theoretical results. This work first evaluates the ergodic capacity of the channel. In the non-ergodic case, it analyzes the outage probability and the diversity-multiplexing tradeoff. In the case where $k=m_t+m_r-m > 0$ at least $k$ degrees of freedom are guaranteed not to fade for any channel realization enabling a zero outage probability or infinite diversity order at the corresponding rates. A simple scheme that uses channel state feedback to attain the no-outage guarantee is provided. Finally, we discuss the applications in other communication scenarios.
Dar Ronen
Feder Meir
Shtaif Mark
No associations
LandOfFree
The Jacobi MIMO Channel does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Jacobi MIMO Channel, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Jacobi MIMO Channel will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-186406