Performance Limit of Broadband Beamformer Designs in Space and Frequency
The design problem of broadband beamformers is to choose the coefficients of the filters such that the difference between the actual spatial directivity pattern and a desired spatial directivity pattern is minimized. There are many factors which can influence the performance of the design. The promi...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
Springer
2015
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/38988 |
| _version_ | 1848755468145524736 |
|---|---|
| author | Feng, Z. Yiu, Ka Fai Nordholm, Sven |
| author_facet | Feng, Z. Yiu, Ka Fai Nordholm, Sven |
| author_sort | Feng, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The design problem of broadband beamformers is to choose the coefficients of the filters such that the difference between the actual spatial directivity pattern and a desired spatial directivity pattern is minimized. There are many factors which can influence the performance of the design. The prominent factors include the filter length and the number of microphones. In the literature, the condition in fitting a desired spatial directivity pattern totally has not been studied properly. We show here that itis essential to use both the filter length and the number of sensors in reducing the cost function to zero, subject to some conditions on the desired response. These conditions are investigated and developed. Numerical examples are used to verify the derived conditions and at the same time to present some optimal beamformer designs. |
| first_indexed | 2025-11-14T08:56:47Z |
| format | Journal Article |
| id | curtin-20.500.11937-38988 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:56:47Z |
| publishDate | 2015 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-389882018-03-29T09:07:34Z Performance Limit of Broadband Beamformer Designs in Space and Frequency Feng, Z. Yiu, Ka Fai Nordholm, Sven Filter length Optimal beamformer design Number of microphones Performance limit The design problem of broadband beamformers is to choose the coefficients of the filters such that the difference between the actual spatial directivity pattern and a desired spatial directivity pattern is minimized. There are many factors which can influence the performance of the design. The prominent factors include the filter length and the number of microphones. In the literature, the condition in fitting a desired spatial directivity pattern totally has not been studied properly. We show here that itis essential to use both the filter length and the number of sensors in reducing the cost function to zero, subject to some conditions on the desired response. These conditions are investigated and developed. Numerical examples are used to verify the derived conditions and at the same time to present some optimal beamformer designs. 2015 Journal Article http://hdl.handle.net/20.500.11937/38988 10.1007/s10957-014-0543-5 Springer restricted |
| spellingShingle | Filter length Optimal beamformer design Number of microphones Performance limit Feng, Z. Yiu, Ka Fai Nordholm, Sven Performance Limit of Broadband Beamformer Designs in Space and Frequency |
| title | Performance Limit of Broadband Beamformer Designs in Space and Frequency |
| title_full | Performance Limit of Broadband Beamformer Designs in Space and Frequency |
| title_fullStr | Performance Limit of Broadband Beamformer Designs in Space and Frequency |
| title_full_unstemmed | Performance Limit of Broadband Beamformer Designs in Space and Frequency |
| title_short | Performance Limit of Broadband Beamformer Designs in Space and Frequency |
| title_sort | performance limit of broadband beamformer designs in space and frequency |
| topic | Filter length Optimal beamformer design Number of microphones Performance limit |
| url | http://hdl.handle.net/20.500.11937/38988 |