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Benesty, Jacob |
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Chen, Jingdong, Pan, Chao |
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Benesty, Jacob, Chen, Jingdong, Pan, Chao |
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Introduction -- Problem Formulation -- Some Background -- Performance Measures Revisited -- Conventional Optimization -- Beampattern Design -- Joint Optimization., This book provides a systematic study of the fundamental theory and methods of beamforming with differential microphone arrays (DMAs), or differential beamforming in short. It begins with a brief overview of differential beamforming and some popularly used DMA beampatterns such as the dipole, cardioid, hypercardioid, and supercardioid, before providing essential background knowledge on orthogonal functions and orthogonal polynomials, which form the basis of differential beamforming. From a physical perspective, a DMA of a given order is defined as an array that measures the differential acoustic pressure field of that order; such an array has a beampattern in the form of a polynomial whose degree is equal to the DMA order. Therefore, the fundamental and core problem of differential beamforming boils down to the design of beampatterns with orthogonal polynomials. But certain constraints also have to be considered so that the resulting beamformer does not seriously amplify the sensors’ self noise and the mismatches among sensors. Accordingly, the book subsequently revisits several performance criteria, which can be used to evaluate the performance of the derived differential beamformers. Next, differential beamforming is placed in a framework of optimization and linear system solving, and it is shown how different beampatterns can be designed with the help of this optimization framework. The book then presents several approaches to the design of differential beamformers with the maximum DMA order, with the control of the white noise gain, and with the control of both the frequency invariance of the beampattern and the white noise gain. Lastly, it elucidates a joint optimization method that can be used to derive differential beamformers that not only deliver nearly frequency-invariant beampatterns, but are also robust to sensors’ self noise. |
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Benesty, Jacob aut, Fundamentals of Differential Beamforming by Jacob Benesty, Jingdong Chen, Chao Pan, Singapore s.l. Springer Singapore 2016, Online-Ressource (VIII, 122 p. 79 illus., 77 illus. in color, online resource), Text txt rdacontent, Computermedien c rdamedia, Online-Ressource cr rdacarrier, SpringerBriefs in Electrical and Computer Engineering, SpringerLink Bücher, Description based upon print version of record, Introduction -- Problem Formulation -- Some Background -- Performance Measures Revisited -- Conventional Optimization -- Beampattern Design -- Joint Optimization., This book provides a systematic study of the fundamental theory and methods of beamforming with differential microphone arrays (DMAs), or differential beamforming in short. It begins with a brief overview of differential beamforming and some popularly used DMA beampatterns such as the dipole, cardioid, hypercardioid, and supercardioid, before providing essential background knowledge on orthogonal functions and orthogonal polynomials, which form the basis of differential beamforming. From a physical perspective, a DMA of a given order is defined as an array that measures the differential acoustic pressure field of that order; such an array has a beampattern in the form of a polynomial whose degree is equal to the DMA order. Therefore, the fundamental and core problem of differential beamforming boils down to the design of beampatterns with orthogonal polynomials. But certain constraints also have to be considered so that the resulting beamformer does not seriously amplify the sensors’ self noise and the mismatches among sensors. Accordingly, the book subsequently revisits several performance criteria, which can be used to evaluate the performance of the derived differential beamformers. Next, differential beamforming is placed in a framework of optimization and linear system solving, and it is shown how different beampatterns can be designed with the help of this optimization framework. The book then presents several approaches to the design of differential beamformers with the maximum DMA order, with the control of the white noise gain, and with the control of both the frequency invariance of the beampattern and the white noise gain. Lastly, it elucidates a joint optimization method that can be used to derive differential beamformers that not only deliver nearly frequency-invariant beampatterns, but are also robust to sensors’ self noise., Engineering, Signal processing., Image processing., Speech processing systems., Chen, Jingdong oth, Pan, Chao oth, 9789811010453, Druckausg. 978-981-10-1045-3, https://doi.org/10.1007/978-981-10-1046-0 X:SPRINGER Verlag lizenzpflichtig Volltext, http://dx.doi.org/10.1007/978-981-10-1046-0 B:SPRINGER Resolving-System lizenzpflichtig Volltext, https://swbplus.bsz-bw.de/bsz470388536cov.jpg V:DE-576 X:springer image/jpeg 20160701124417 Cover, (DE-627)857792903, https://doi.org/10.1007/978-981-10-1046-0 DE-Ch1, DE-Ch1 epn:3814992660 2020-11-30T10:53:14Z, http://dx.doi.org/10.1007/978-981-10-1046-0 DE-Zwi2, DE-Zwi2 epn:3390942734 2016-06-07T13:43:54Z, http://dx.doi.org/10.1007/978-981-10-1046-0 HTWK-Zugang DE-L189, DE-L189 epn:3390942874 2016-06-07T13:43:54Z, http://dx.doi.org/10.1007/978-981-10-1046-0 DE-520, DE-520 epn:3390942998 2017-05-12T00:00:00Z |
| spellingShingle |
Benesty, Jacob, Fundamentals of Differential Beamforming, Introduction -- Problem Formulation -- Some Background -- Performance Measures Revisited -- Conventional Optimization -- Beampattern Design -- Joint Optimization., This book provides a systematic study of the fundamental theory and methods of beamforming with differential microphone arrays (DMAs), or differential beamforming in short. It begins with a brief overview of differential beamforming and some popularly used DMA beampatterns such as the dipole, cardioid, hypercardioid, and supercardioid, before providing essential background knowledge on orthogonal functions and orthogonal polynomials, which form the basis of differential beamforming. From a physical perspective, a DMA of a given order is defined as an array that measures the differential acoustic pressure field of that order; such an array has a beampattern in the form of a polynomial whose degree is equal to the DMA order. Therefore, the fundamental and core problem of differential beamforming boils down to the design of beampatterns with orthogonal polynomials. But certain constraints also have to be considered so that the resulting beamformer does not seriously amplify the sensors’ self noise and the mismatches among sensors. Accordingly, the book subsequently revisits several performance criteria, which can be used to evaluate the performance of the derived differential beamformers. Next, differential beamforming is placed in a framework of optimization and linear system solving, and it is shown how different beampatterns can be designed with the help of this optimization framework. The book then presents several approaches to the design of differential beamformers with the maximum DMA order, with the control of the white noise gain, and with the control of both the frequency invariance of the beampattern and the white noise gain. Lastly, it elucidates a joint optimization method that can be used to derive differential beamformers that not only deliver nearly frequency-invariant beampatterns, but are also robust to sensors’ self noise., Engineering, Signal processing., Image processing., Speech processing systems. |
| swb_id_str |
470388536 |
| title |
Fundamentals of Differential Beamforming |
| title_auth |
Fundamentals of Differential Beamforming |
| title_full |
Fundamentals of Differential Beamforming by Jacob Benesty, Jingdong Chen, Chao Pan |
| title_fullStr |
Fundamentals of Differential Beamforming by Jacob Benesty, Jingdong Chen, Chao Pan |
| title_full_unstemmed |
Fundamentals of Differential Beamforming by Jacob Benesty, Jingdong Chen, Chao Pan |
| title_short |
Fundamentals of Differential Beamforming |
| title_sort |
fundamentals of differential beamforming |
| title_unstemmed |
Fundamentals of Differential Beamforming |
| topic |
Engineering, Signal processing., Image processing., Speech processing systems. |
| topic_facet |
Engineering, Signal processing., Image processing., Speech processing systems. |
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https://doi.org/10.1007/978-981-10-1046-0, http://dx.doi.org/10.1007/978-981-10-1046-0, https://swbplus.bsz-bw.de/bsz470388536cov.jpg |
