An audio system is provided that employs time-frequency analysis and/or synthesis techniques for processing audio obtained from a microphone array. These time-frequency analysis/synthesis techniques can be more robust, provide better spatial resolution, and have less computational complexity than existing adaptive filter implementations. The time-frequency techniques can be implemented for dual microphone arrays or for microphone arrays having more than two microphones. Many different time-frequency techniques may be used in the audio system. As one example, the Gabor transform may be used to analyze time and frequency components of audio signals obtained from the microphone array.