Abstract
In this chapter, we show how the classical adaptive beam forming technique is related to differential arrays. From this important and useful relationship, we then derive a minimum-norm filter for the design of any order differential array, which can be very robust against white noise amplification. This approach exploits the fact that the number of microphones is greater than the order of the DMA plus one. As a result, the more microphones, the more robust is the DMA for a predetermined order. We recall that all known DMAs are designed in such a way that their order plus one is equal to the number of microphones.
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Benesty, J., Chen, J. (2013). Minimum-Norm Solution for Robust Differential Arrays. In: Study and Design of Differential Microphone Arrays. Springer Topics in Signal Processing, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33753-6_6
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DOI: https://doi.org/10.1007/978-3-642-33753-6_6
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