Waveform Analysis of Sound
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 env
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Mikio Tohyama
Waveform Analysis of Sound
Mathematics for Industry Volume 3
Editor-in-Chief Masato Wakayama (Kyushu University, Japan)
Scientific Board Members Robert S. Anderssen (Commonwealth Scientific and Industrial Research Organisation, Australia) Heinz H. Bauschke (The University of British Columbia, Canada) Philip Broadbridge (La Trobe University, Australia) Jin Cheng (Fudan University, China) Monique Chyba (University of Hawaii at MNanoa, USA) Georges-Henri Cottet (Joseph Fourier University, France) José Alberto Cuminato (University of São Paulo, Brazil) Shin-ichiro Ei (Hokkaido University, Japan) Yasuhide Fukumoto (Kyushu University, Japan) Jonathan R.M. Hosking (IBM T.J. Watson Research Center, USA) Alejandro Jofré (University of Chile, Chile) Kerry Landman (The University of Melbourne, Australia) Robert McKibbin (Massey University, New Zealand) Geoff Mercer (Australian National University, Australia) (Deceased, 2014) Andrea Parmeggiani (University of Montpellier 2, France) Jill Pipher (Brown University, USA) Konrad Polthier (Free University of Berlin, Germany) Osamu Saeki (Kyushu University, Japan) Wil Schilders (Eindhoven University of Technology, The Netherlands) Zuowei Shen (National University of Singapore, Singapore) Kim-Chuan Toh (National University of Singapore, Singapore) Evgeny Verbitskiy (Leiden University, The Netherlands) Nakahiro Yoshida (University of Tokyo, Japan)
Aims & Scope The meaning of “Mathematics for Industry” (sometimes abbreviated as MI or MfI) is different from that of “Mathematics in Industry” (or of “Industrial Mathematics”). The latter is restrictive: it tends to be identified with the actual mathematics that specifically arises in the daily management and operation of manufacturing. The former, however, denotes a new research field in mathematics that may serve as a foundation for creating future technologies. This concept was born from the integration and reorganization of pure and applied mathematics in the present day into a fluid and versatile form capable of stimulating awareness of the importance of mathematics in industry, as well as responding to the needs of industrial technologies. The history of this integration and reorganization indicates that this basic idea will someday find increasing utility. Mathematics can be a key technology in modern society. The series aims to promote this trend by (1) providing comprehensive content on applications of mathematics, especially to industry technologies via various types of scientific research, (2) introducing basic, useful, necessary and crucial knowledge for several applications through concrete subjects, and (3) introducing new research results and developments for applications of mathematics in the real world. These points may provide the basis for opening a new mathematics-oriented technological world and even new research fields of mathematics. More information about this series at http://www.springer.com/series/13254
Mikio Tohyama
Waveform Analysis of Sound
123
Mikio Tohyama Tokyo, Japan
ISSN 2198-350
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