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Home / Acoustic Review / Exploring two-dimensional planar arrays

Exploring two-dimensional planar arrays

As previously mentionned in our June 2023 post (here), accurate sound pickup from a specific location is often a challenge in noisy environments. In that study, we reviewed certain one-dimensional beamforming techniques, such as the broadside and the end-fire ones and concluded that the audio operations used are fairly simple, consisting of a sum for the first one and a delay, phase inverter plus a sum for the other.

This short new post describes a two-dimensional version of the broadside configuration: the planar array.

As shown in Figure 1, a planar array can be understood as a combination of two broadside beamformers arranged in a perpendicular way to one another. The resulting planar array will be “bidirectionnal” and orthogonal to the microphone’s plane.

Figure 1 – Planar array explained as a mix of two broadside arrays perpendicular to each other

Planar arrays show their full potential compared to a simple one-dimension beaformer when changing the number of microphones and/or the separation distance between rows and columns.

Figure 2 below illustrates the beam (3D directivity as a function of theta and phi) obtained at 1k Hz for a 4 x 4 microphones configuration with a 10 cm spacing between the microphones. Figure 3 shows an interesting way to enlarge the beam in one direction, by removing a row/column of 4 microphones, resulting in a rectangular array of 3 x 4 microphones.

Figure 2 - 1k Hz beam – Array of 4x4 microphones – dx=dy=0.1 m
Figure 3 - 1k Hz beam – Array of 3x4 microphones – dx=dy=0.1 m

Figure 4 down below shows that a similar beam broadening can be achieved by playing with the spacing distance in one direction, resulting in a 4 x 4 array with a distance of 0.07m in one direction and of 0.1 m in the perpendicular direction.

Figure 4- 1k Hz beam – Array of 4x4 microphones – dx=0.07m,dy=0.1 m

Another advantage of planar arrays over broadside configurations is the ability to steer the beam diagonally. In Figure 5 below, we can see the beam obtained at 2k Hz (for the same 4×4 microphone array) while Figure 6 shows the steering obtained by applying a phase shift of 25° in both directions.

Figure 5 - 2k Hz beam – Array of 4x4 microphones – dx=dy=0.1 m
Figure 6- 2k Hz beam – Array of 4x4 microphones – dx=dy=0.1 m phasetheta=phasephi=25 °

Are you looking to improve your directivity performance by moving from 1D to 2D beamforming? Let SELTECH support you in finding the best array configuration suited to your application.

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Review by:

Frédéric Fallais, Acoustic Application Engineer

Arthur Di Ruzza, Acoustic Technician

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