In accordance with an embodiment of the present invention, a noise reduction method for speech processing includes estimating a noise/interference component signal by subtracting voice component signal from a first microphone input signal wherein the voice component signal is evaluated as a first replica signal produced by passing a second microphone input signal through a first adaptive filter; a stepsize is estimated to control adaptive update of the first adaptive filter, wherein the stepsize is evaluated by combing an open-loop approach and a closed-loop approach, the open-loop approach comprising voice/noise/interference classification and SNR estimation in voice area, and the closed-loop approach comprising calculating a normalized correlation between the first replica signal and the first microphone input signal. A noise/interference reduced signal is outputted by subtracting a second replica signal from a target signal which is the first microphone input signal or the second microphone input signal, wherein the second replica signal is produced by passing the estimated noise/interference component signal through a second adaptive filter.