Systems and methods for reducing noise from an input signal are provided. An input signal is received. The input signal is transformed from a time domain to a plurality of subbands in a frequency domain, where each subband of the plurality of subbands includes a speech component and a noise component. For each of the subbands, an amplitude of the speech component is estimated based on an amplitude of the subband and an estimate of at least one signal-to-noise ratio (SNR) of the subband. The estimating of the amplitude of the speech component is based on a closed-form solution. The plurality of subbands in the frequency domain are filtered based on the amplitudes of the speech components.