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Short-time Fourier transform (STFT) methods are often used to overcome the degradation of speech signals affected by noise. STFT-gain functions are usually expressed as a function of the a priori SNR, say ξ, and good techniques to estimate ξ are of vital importance for the quality of enhanced speech. Often, ξ is estimated using the so-called decision directed approach (DD). However, the DD approach builds on a number of approximations, where certain expected values of signal related quantities are approximated by instantaneous estimates. In this paper we present a method to improve these approximations by combining the DD approach with an adaptive time segmentation. Objective and subjective experiments show that the proposed method leads to significant improvements compared to the conventional DD approach. Furthermore, simulation experiments confirm a decreased amount of non-stationary residual noise.