A single microphone noise canceller based on adaptive Kalman filter

This paper deals with the problem of Adaptive Noise Cancellation (ANC) when only corrupted speech signal with an additive Gaussian white noise is available for processing. We propose a new method based on adaptive Kalman filtering. All the approaches based on the Kalman filter proposed in the past, in this context, operate in two steps: they first estimate the noise variance and the parameters of the signal model and secondly estimate the speech signal. The approach presented in this paper gives an alternative to these approaches since it does not require the estimation of the noise variance. The noise variance estimation is a part of the Kalman gain calculation. For optimizing the Kalman gain we have reformulated and adapted, to the single-microphone ANC problem, the approach proposed in control by R. K. Mehra.