Computer Science – Information Theory
Scientific paper
2007-07-12
IEEE Trans. Information Theory, Vol. 54, No. 2, pp.544-553, Feb. 2008
Computer Science
Information Theory
24 pages and 3 figures
Scientific paper
In a frequency selective slow-fading channel in a MIMO system, the channel matrix is of the form of a block matrix. We propose a method to calculate the limit of the eigenvalue distribution of block matrices if the size of the blocks tends to infinity. We will also calculate the asymptotic eigenvalue distribution of $HH^*$, where the entries of $H$ are jointly Gaussian, with a correlation of the form $E[h_{pj}\bar h_{qk}]= \sum_{s=1}^t \Psi^{(s)}_{jk}\hat\Psi^{(s)}_{pq}$ (where $t$ is fixed and does not increase with the size of the matrix). We will use an operator-valued free probability approach to achieve this goal. Using this method, we derive a system of equations, which can be solved numerically to compute the desired eigenvalue distribution.
Bryc Wlodzimierz
Far Reza Rashidi
Oraby Tamer
Speicher Roland
No associations
LandOfFree
On slow-fading non-separable correlation MIMO systems 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 On slow-fading non-separable correlation MIMO systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On slow-fading non-separable correlation MIMO systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-160892