... Genova, Italy, June 2009 [12] I Bahceci and A K Khandani, “Linear estimation of correlated data in wireless sensor networks with optimum power allocation and analog modulation,” IEEE Transactions ... Power Allocation with Perfect CSI 3.1 Minimization of the Distortion Subject to the Power Constraint We base our adaptive power allocation design on the following optimization problem Prob Minimize ... follows waterfilling on channel SNR, that is, Pi increases with increasing ζi ; and for ζi > ζi(o) , the power allocation is according to inversion in the channel SNR, that is, increasing ζi decreases...