Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)
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Waveform Analysis of Sound (Hardcover, 2015 ed.)
Loot Price: R2,824
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Waveform Analysis of Sound (Hardcover, 2015 ed.)
Series: Mathematics for Industry, 3
Expected to ship within 10 - 15 working days
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What is this sound? What does that sound indicate? These are two
questions frequently heard in daily conversation. Sound results
from the vibrations of elastic media and in daily life provides
informative signals of events happening in the surrounding
environment. In interpreting auditory sensations, the human ear
seems particularly good at extracting the signal signatures from
sound waves. Although exploring auditory processing schemes may be
beyond our capabilities, source signature analysis is a very
attractive area in which signal-processing schemes can be developed
using mathematical expressions. This book is inspired by such
processing schemes and is oriented to signature analysis of
waveforms. Most of the examples in the book are taken from data of
sound and vibrations; however, the methods and theories are mostly
formulated using mathematical expressions rather than by acoustical
interpretation. This book might therefore be attractive and
informative for scientists, engineers, researchers, and graduate
students who are interested in the mathematical representation of
signals and the applications of Fourier analysis. The book can be
described as being practically self-contained but does assume
readers are familiar with introductory topics in discrete signal
processing, as in the discrete Fourier transform. Hence this book
might be also usable as a textbook in graduate courses in applied
mathematics on topics such as complex functions. Almost all
scientific phenomena are sensed as waves propagating in some space.
Over the years, waveform analysis has therefore been one of the
resilient academic areas of study and still is seen as fertile
ground for development. In particular, waveform analysis based on
the theory of linear systems would be a good example where a
physical interpretation can be given to the mathematical theory of
complex functions in terms of magnitude, angle, poles, and zeros of
complex functions. For readers who are interested in the physical
aspects of sound and vibration data or elementary formulation of
wave equations and their solutions, the book Sound and Signals by
M. Tohyama (Springer 2011) is recommended. It can serve as a
complementary companion to this present volume or independently as
a good reference.
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