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Array Beamforming with Linear Difference Equations (Hardcover, 1st ed. 2021)
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Array Beamforming with Linear Difference Equations (Hardcover, 1st ed. 2021)
Series: Springer Topics in Signal Processing, 20
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This book studies the link between differential beamforming and
differential equations which in turn enables the study of
fundamental theory and methods of beamforming from a different
perspective, leading to new insights into the problem and new
methods to solve the problem. The book first presents a brief
overview of the problems and methods for beamforming and some
performance measures popularly used either to evaluate beamformers
or to derive optimal beamformers. Then, first-order, second-order,
and general high-order linear difference equations are discussed,
based on which the authors show how to formulate the beamforming
problem and derive different beamforming methods, including fixed
and adaptive ones. Furthermore, the authors show how to apply the
theory of difference equations to the general problem of speech
enhancement, and deduce a number of noise reduction filters,
including the maximum SNR filter, the Wiener filter, the MVDR
filter, etc. Also covered in the book are the difference equations
and differential beamforming from the spectral graph perspective.
Presents basic concepts, fundamental principles, and methods for
beamforming from the perspective of linear difference equations;
Provides formulation and methods of conventional beamforming, and
first-order, second-order, and general high-order linear difference
equations for beamforming; Includes the applications of linear
difference equations to the problem of noise reduction; Explains
beamforming based on difference equations with graphs.
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