New Properties of Complex Noncentral Quadratic Forms and Bounds on MIMO Mutual Information

This paper presents new statistical properties of complex noncentral matrix-variate quadratic forms. In contrast to previous results, the expressions do not involve infinite sums over partitions, or matrix-variate polynomials, and are easily and efficiently computable. These properties are used to derive new upper and lower bounds on the ergodic mutual information of double-sided correlated Rician MIMO channels with arbitrary-rank channel mean matrices. The bounds are shown to be tighter than previous reported bounds in the literature