Fundamentals of Spherical Array Processing

Boaz Rafaely

Informasi Umum

Kode

21.21.1057

Klasifikasi

621.382 8 - Acoustical communications, broadcasting and transmission, electroacoustical communications

Jenis

Buku - Elektronik (E-Book)

Subjek

Acoustical Engineering, Mathematical Analysis,

No. Rak

13a

Dilihat

61 kali

Informasi Lainnya

Abstraksi

These advantages have motivated an increasing number of researchers in recent years to develop spherical microphone array systems, to study spherical array configurations, to develop algorithms for spherical arrays, and to apply these arrays in a wide range of applications. This growing activity has provided the author with the motivation and inspiration to write this book, with the aim of presenting the fundamentals of spherical array processing in a tutorial manner suitable for researchers, graduate students, and engineers interested in this topic.

The first two chapters provide the reader with the necessary mathematical and physical background, including an introduction to the spherical Fourier transform and to the formulation of plane-wave sound fields in the spherical harmonics domain. The third chapter covers the theory of spatial sampling, which becomes useful when selecting the positions of microphones to sample sound pressure functions in space. The next chapter presents various spherical array configurations, including the popular configuration based on a rigid sphere. The fifth chapter introduces the concept of beamforming and its basic equations, including popular design methods such as delay-and-sum and regular beamforming. The following chapter presents methods for the optimal design of beam patterns, formulated to achieve various objectives such as maximum robustness, maximum directivity, or minimum side-lobe level. The final chapter develops more advanced array processing algorithms such as the minimum variance distortionless response (MVDR) algorithm. These algorithms aim to enhance a desired signal while attenuating undesired noise components in the sound field by exploring their unique formulation in the spherical harmonics domain.