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In this paper we consider an in-ear headphone equipped with an innermicrophone and multiple loudspeakers and we propose an optimization procedurewith a convex objective function to derive a fixed multi-loudspeaker ANCcontroller aiming at minimizing the sound pressure at the ear drum. Based onthe virtual microphone arrangement (VMA) technique and measured acoustic pathsbetween the loudspeakers and the ear drum, the FIR filters of the ANCcontroller are jointly optimized to minimize the power spectral density at theear drum, subject to design and stability constraints. For an in-ear headphonewith two loudspeakers, the proposed multi-loudspeaker VMA controller iscompared to two single-loudspeaker VMA controllers. Simulation results withdiffuse noise show that the multi-loudspeaker VMA controller effectivelyimproves the attenuation by up to about 10 dB for frequencies below 300 Hz whencompared to both single-loudspeaker VMA controllers.

Optimization of a Fixed Virtual Sensing Feedback ANC Controller for In-Ear Headphones with Multiple Loudspeakers