Method and System for Reducing Interference and Noise in Speech Signals

A method for reducing interference in an audio signal in a form of a microphone signal acquired by an array of microphones from a source, comprising the steps of:

• determining an estimate of a target signal by beam-forming the microphone signal in a direction of the source;
• determining a set of estimates of interference by using a microphone array filtering matrix to block the target signal in the microphone signal;
• optimizing a set of filters by minimizing an objective function measuring a mismatch between the set of estimates of interference and the estimate of the target signal, wherein the minimizing uses a sparse regularization of coefficients of the set of filters;
• filtering the set of estimates of interference using the set of filters after the optimizing;
• and
• subtracting the estimate of interference after the optimizing from the target signal, wherein the steps are performed in a processor.