Mathematics for Industry

Waveform Analysis of Sound

Authors: Tohyama, Mikio

  • Helps readers who are not familiar with sound and vibration, with the recommendation that readers learn the basics of signal-processing theory
  • Requires a minimal mathematical background and includes many examples
  • Describes a basic theory that explains detailed experimental data on sound and vibration
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eBook $99.00
price for USA (gross)
  • ISBN 978-4-431-54424-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-4-431-54423-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-4-431-56158-3
  • Free shipping for individuals worldwide
About this book

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.

Reviews

“The book under review can serve as an additional reference in the area of sound signal processing. … this book will be a welcome addition to the current scientific literature in the area of sound propagation.” (Qian Zuwen, zbMATH 1345.76001, 2016)

“Waveform Analysis of Sound is intended for audiences with a background in mathematical signal analysis and Fourier transform/series application. It can be used by both researchers and graduate students. … it is an interesting book for serious analysts.” (Rajendra Singh, Noise Control Engineering Journal, Vol. 63 (6), November-December, 2015)


Table of contents (9 chapters)

  • Introduction

    Tohyama, Mikio

    Pages 1-11

  • Discrete Sequences and Their Fourier Transform

    Tohyama, Mikio

    Pages 13-27

  • Temporal and Spectral Characteristics of Discrete Sequence

    Tohyama, Mikio

    Pages 29-56

  • Temporal and Spectral Enhancement by Sound Path

    Tohyama, Mikio

    Pages 57-76

  • Modulation and Periodic Properties of Temporal Envelope

    Tohyama, Mikio

    Pages 77-94

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-4-431-54424-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-4-431-54423-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-4-431-56158-3
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Waveform Analysis of Sound
Authors
Series Title
Mathematics for Industry
Series Volume
3
Copyright
2015
Publisher
Springer Japan
Copyright Holder
Springer Japan
eBook ISBN
978-4-431-54424-1
DOI
10.1007/978-4-431-54424-1
Hardcover ISBN
978-4-431-54423-4
Softcover ISBN
978-4-431-56158-3
Series ISSN
2198-350X
Edition Number
1
Number of Pages
XV, 229
Number of Illustrations and Tables
103 b/w illustrations, 38 illustrations in colour
Topics