Today I came across a nice result on the distribution of eigen values of matrix $HH^{\dag}$, where the entries of $H \in {\mathcal C}^{m\times n}$ are i.i.d. Gaussian distributed. The result says that the $k^{th}$ eigen value $\lambda_k$ (in the decreasing order) of $HH^{\dag}$ has the following distribution, $P(\lambda_k\le x) = x^{(m-k+1)(n-k+1)},$ for small $x$.
Its quite useful for analysing many MIMO techniques, such as MRC, MRT.
The reference is a recent IT Paper: