Complex Newton algorithm for blind signal extraction of speech in diffuse noise

Several recent methods for speech enhancement in presence of diffuse background noise use frequency domain blind signal separation to estimate the diffuse noise and a nonlinear post filter to suppress this estimated noise. This paper presents a frequency domain blind signal extraction method for estimating the diffuse noise in place of the frequency domain blind signal separation. The method is based on the minimization by means of a complex Newton algorithm of a cost function depending of the modulus of the extracted component. The proposed complex Newton method is compared to the gradient descent on the same cost function and to the blind signal separation approach.