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We present a simple yet effective algorithm for noise reduction of speech signals using a lattice LP filter. Based on previous investigations and a theoretical analysis of the lattice filter parameter estimation we introduce an improved parameter estimation algorithm that takes into account the non-stationary nature of speech and expected noise signals, yielding a good suppression of stationary and slowly timevarying noise. The algorithm has zero delay for the speech signal, promoting its application for telephony or hearing aids. No additional or explicit noise estimation algorithm is needed.