Derivation of Optimum Weight Vector

We want to find the w that maximizes E{SINR}
- express x as x = xs+xi+xn and y as y = ys+yn+yi
- write E{SINR} in terms of w
- differentiate with respect to w, set the derivative to 0, and solve for w

Signal power:

Interference + Noise power:

We want to find the w that maximizes E{SINR}