Design of Planar Differential Microphone Arrays With Fractional Orders

You are here

Top Reasons to Join SPS Today!

1. IEEE Signal Processing Magazine
2. Signal Processing Digital Library*
3. Inside Signal Processing Newsletter
4. SPS Resource Center
5. Career advancement & recognition
6. Discounts on conferences and publications
7. Professional networking
8. Communities for students, young professionals, and women
9. Volunteer opportunities
10. Coming soon! PDH/CEU credits
Click here to learn more.

Design of Planar Differential Microphone Arrays With Fractional Orders

Gongping Huang; Jingdong Chen; Jacob Benesty

Differential microphone arrays (DMAs) often encounter white noise amplification, especially at low frequencies. If the array geometry and the number of microphones are fixed, one can improve the white noise amplification problem by reducing the DMA order. With the existing differential beamforming methods, the DMA order can only be a positive integer number. Consequently, with a specified beampattern (or a kind of beampattern), reducing this order may easily lead to over compensation of the white noise gain (WNG) and too much reduction of the directivity factor (DF), which is not optimal. To deal with this problem, we present in this article a general approach to the design of DMAs with fractional orders. The major contributions of this article include but are not limited to: 1) we first define a directivity pattern that can achieve a continuous compromise between the pattern corresponding to the maximum DMA order and the omnidirectional pattern; 2) by approximating the beamformer's beampattern with the Jacobi-Anger expansion, we present a method to find the proper differential beamforming filter so that its beampattern matches closely the target directivity pattern of fractional orders; and 3) we show how to determine analytically the proper fractional order of the DMA with a given target beampattern when either the value of the DF or WNG is specified, which is useful in practice to achieve the desired beampattern and spatial gain while maintaining the robustness of the DMA system.

SPS on Twitter

  • IEEE Day is October 4th. Celebrate IEEE Day by attending a local event. Visit the IEEE Day site for a complete list…
  • The Biomedical Imaging and Signal Processing Webinar Series continues on Tuesday, 4 October when Selin Aviyente pre…
  • On Wednesday, 26 October, join Dr. DeLiang Wang for a new SPS webinar, "Neural Spectrospatial Filter" - register no…
  • Join Dr. Peilan Wang and Dr Jun Fang for "Channel State Information Acquisition for Intelligent Reflecting Surface-…
  • The SPS Webinar Series continues on Monday, 10 October when Dr. Luisa Verdoliva presents "Media Forensics and DeepF…

SPS Videos

Signal Processing in Home Assistants


Multimedia Forensics

Careers in Signal Processing             


Under the Radar