# diffbfweights

Differential beamforming weights for ULA and UCA

## Syntax

## Description

computes differential beamforming weights that steer a uniform linear array (ULA) to its
endfire direction. `wts`

= diffbfweights(`nelem`

,`elemspacing`

)`nelem`

is the number of elements in the array and
`elemspacing`

is the distance between array elements. Differential
weights can achieve frequency invariant beam patterns and are often used in microphone
arrays.

explicitly sets the array to a uniform linear array (ULA).`wts`

= diffbfweights(`nelem`

,`elemspacing`

,ArrayGeometry='ULA')

also specifies angles `wts`

= diffbfweights(`nelem`

,`elemspacing`

,`angc`

,ArrayGeometry=`ag`

)`angc`

at which the array response is null. When
`ag`

equals 'ULA', `elemspacing`

refers to the
distance between array elements. When `ag`

equals 'UCA',
`elemspacing`

refers to the array radius.

## Examples

## Input Arguments

## Output Arguments

## References

[1] Benesty, Jacob, et al.
*Fundamentals of Differential Beamforming*. Springer Singapore, 2016.
DOI.org (Crossref), https://doi.org/10.1007/978-981-10-1046-0.

[2] Benesty, Jacob, and J. Chen.
*Study and Design of Differential Microphone Arrays*. Springer,
2013.

[3] Jingdong Chen, Jacob Benesty, and
Chao Pan, "On the design and implementation of linear differential microphone arrays",
*The Journal of the Acoustical Society of America*, Vol 136, pp 3097,
2014.

[4] Jilu Jin, Gongping Huang, Xuehan
Wang, Jingdong Chen, Jacob Benesty, and Israel Cohen, "Steering Study of Linear Differential
Microphone Arrays", *IEEE/ACM Transactions on Audio, Speech, and Language
Processing*, Vol 29, pp 158, 2020

[5] Jacob Benesty, Jingdong Chen, and
Israel Cohen,* Design of Circular Differential Microphone Arrays*, Springer
2015.

[6] Gongping Huang, Israel Cohen,
Jingdong Chen, and Jacob Benesty, "Continuously steerable differential beamformers with null
constraints for circular microphone arrays", *The Journal of the Acoustical Society
of America*, Vol 148, pp 1248, 2020.

## Version History

**Introduced in R2022a**

## See Also

`steervec`

| `arrayfactor`

| `polarpattern`

| `phased.SteeringVector`