Optimized Power Control for Over-the-Air Computation in Fading Channels

Understand

In this paper, we study the power control problem for Over-the-air computation (AirComp) over fading channels.

• Our objective is to minimize the computation error by jointly optimizing the transmit power at the power-constrained devices and a signal scaling factor (called denoising factor) at the fusion center (FC).
• The problem is generally non-convex due to the coupling of the transmit power over devices and denoising factor at the FC.
• To tackle the challenge, we first consider the special case with static channels, for which we derive the optimal solution in closed form.