Optimizing Weights for the Detection of Stellar Oscillations: Application to alpha Centauri A and B, and beta Hydri

We have recently developed a new method for adjusting weights to minimize sidelobes in the spectral window. Here we show the results of applying this method to published two-site velocity observations of three stars (alpha Cen A, alpha Cen B and beta Hyi). Compared to our previous method of minimizing sidelobes, which involved adjusting the weights on a night-by-night basis, we find a significant improvement in frequency resolution. In the case of alpha Cen A, this should allow the detection of extra oscillation modes in the data.