Fundamentals of differential beamforming

Resource Information

The work Fundamentals of differential beamforming represents a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.

Label

Fundamentals of differential beamforming

Statement of responsibility

Jacob Benesty, Jingdong Chen, Chao Pan

Creator

• Benesty, Jacob

Contributor

• Chen, J., (Jingdong)
• Chen, J., (Jingdong)
• Pan, Chao

Author

• Chen, J., (Jingdong)
• Chen, J., (Jingdong)
• Benesty, Jacob
• Pan, Chao

Subject

• Beamforming
• Microphone arrays

Language

eng

Summary

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

Member of

• Online access with purchase: Springer
• SpringerBriefs in electrical and computer engineering

Cataloging source

N$T

Dewey number

621.382/2

Illustrations

illustrations

Index

index present

LC call number

TK7871.67.A33

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

SpringerBriefs in electrical and computer engineering,