A system for combining signals includes a first microphone generating a first input signal having a first voice component and a first noise component, a second microphone generating a second input signal having a second voice component and a second noise component, a mixing circuit, and an adaptive filter. The mixing circuit applies a first gain having a value α to the first input signal to produce a first scaled signal, applies a second gain having a value 1−α to the second input signal to produce a second scaled signal, and sums the first scaled signal and the second scaled signal to produce a summed signal. The adaptive filter computes an updated value of α to minimize the energy of the summed signal based on the summed signal, the first input signal and the second input signal, and provides the updated value of α to the mixing circuit.