Most existing approaches for single-channel noise reduction in the frequency domain via the short-time Fourier transform (STFT) assume that consecutive time-frames are uncorrelated with each other. As a result, algorithms based on this assumption do not, obviously, take the interframe correlation into account. In this paper, we propose a framework that considers this interframe correlation. An important consequence in including this useful information, is that now it is possible to derive a (single-channel) minimum variance distortionless response (MVDR) lter for noise reduction. The experimental study shows impressive results.