论文标题
Hermitian Jacobi进程：矩和光纤含量的简化公式MIMO通道
The Hermitian Jacobi process: simplified formula for the moments and application to optical fibers MIMO channels
论文作者
论文摘要
使用对称函数代数的基础更改，我们计算了Hermitian Jacobi过程的矩。经过仔细的术语排列和对“几乎三角形”矩阵的决定因素的评估后，我们最终得到了一个矩公式，它比\ cite {del-dem}中得出的矩阵要简单得多。作为应用程序，我们提出了遗传学雅各比过程作为光纤纤维MIMO通道的动力学模型，并计算了其在发射机处于足够小功率的香农容量。此外，当Hermitian Jacobi过程的大小大于矩顺序时，我们的力矩公式可以写成平衡终止$ {} _ 4f_3 $ - 系列的线性组合，以单位参数评估。
Using a change of basis in the algebra of symmetric functions, we compute the moments of the Hermitian Jacobi process. After a careful arrangement of the terms and the evaluation of the determinant of an `almost upper-triangular' matrix, we end up with a moment formula which is considerably simpler than the one derived in \cite{Del-Dem}. As an application, we propose the Hermitian Jacobi process as a dynamical model for optical fibers MIMO channels and compute its Shannon capacity for small enough power at the transmitter. Moreover, when the size of the Hermitian Jacobi process is larger than the moment order, our moment formula may be written as a linear combination of balanced terminating ${}_4F_3$-series evaluated at unit argument.
