Expected value of the product of two correlated variables
I'm new to this forum and I'm wondering if someone could help me solving the following problem:
Let h be an M x 1 vector whose elements are independent zero-mean and unit-variance circularly symmetric complex Gaussian; v is an M x 1 deterministic complex vector, and c is a real constant. Is there any close form expression for E[hh*v/(c+v*hh*v)]? Here E[.] is the expectation operator and * denotes hermitian conjugate.