Apparatus, systems, and methods for calibration of microphones

A method comprising:

• receiving, by a data processing module coupled to a first microphone and a second microphone, a first digitized signal stream and a second digitized signal stream, wherein the first digitized signal stream and the second digitized signal stream correspond to an acoustic signal captured by the first microphone and the second microphone, respectively;
• determining, at the data processing module, a first time-frequency representation of the first digitized signal stream and a second time-frequency representation of the second digitized signal stream, wherein the first time-frequency representation indicates a phase of the first digitized signal stream for a plurality of frequencies and for a first time frame, and wherein the second time-frequency representation indicates a phase of the second digitized signal stream for the plurality of frequencies and for the first time frame;
• computing, at a calibration module in communication with the data processing module, a first parameter that indicates a direction of arrival of the acoustic signal based on a relative arrangement of the first microphone and the second microphone, and the first time-frequency representation and the second time-frequency representation at a first of the plurality of frequencies at the first time frame;
• and
• determining, at the calibration module, a first relative phase error between the first microphone and the second microphone for the first time frame for the first of the plurality of frequencies based on the first parameter, the first time-frequency representation, and the second time-frequency representation at the first of the plurality of frequencies at the first time frame.

A non-transitory computer readable medium having executable instructions operable to cause a data processing apparatus to:

• receive, over an interface coupled to a first microphone and a second microphone, a first digitized signal stream and a second digitized signal stream, wherein the first digitized signal stream and the second digitized signal stream correspond to an acoustic signal captured by the first microphone and the second microphone, respectively;
• determine a first time-frequency representation of the first digitized signal stream and a second time-frequency representation of the second digitized signal stream, wherein the first time-frequency representation indicates a phase of the first digitized signal stream for a plurality of frequencies and for a first time frame, and wherein the second time-frequency representation indicates a phase of the second digitized signal stream for the plurality of frequencies and for the first time frame;
• compute a first parameter that indicates a direction of arrival of the acoustic signal based on a relative arrangement of the first microphone and the second microphone, and the first time-frequency representation and the second time-frequency representation at a first of the plurality of frequencies at the first time frame;
• and
• determine a first relative phase error between the first microphone and the second microphone for the first time frame for the first of the plurality of frequencies based on the first parameter, the first time-frequency representation, and the second time-frequency representation at the first of the plurality of frequencies at the first time frame.