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2011 | OriginalPaper | Buchkapitel

2. Phonetics and Signal Processing

verfasst von : Sean A. Fulop

Erschienen in: Speech Spectrum Analysis

Verlag: Springer Berlin Heidelberg

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Abstract

The purpose of this chapter is twofold, so it is divided into two large sections. The first section provides a very quick overview of phonetics, not only for the benefit of scientists who have limited knowledge of the subject, but also to fix some concepts and notation for the rest of the book. The second section provides a quick introduction to the fundamentals of digital signal processing that will be relied upon to discuss the spectrum analysis techniques presented in later chapters. While the most complicated mathematical derivations and digressions have been set within gray boxes, and can thus be skimmed over by less mathematically inclined readers, this section does include a fair amount of mathematics in the main text. I found this to be necessary to accomplish my main goal, which is to present the fundamentals of signal processing to the uninitiated in a simplified format that will facilitate learning of those concepts which are essential to understanding the methods presented in later chapters. Readers whose background is too deficient in mathematics to permit understanding the equations will, I hope, still be able to learn many important concepts by focusing on the discussions, examples, and figures.

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Fußnoten
1
It might be noted that most treatments (including the IPA itself) classify English [ɹ] of \(right\) as an approximant rather than a semivowel, but I believe this is not consistent with the definitions of the terms, and is mostly done because of tradition. I have to thank my colleague Chris Golston for convincing me that [ɹ] is a semivowel.
 
2
Recall that for complex number \(a + b{\rm i},\) its conjugate is \(a - b{\rm i}.\) For complex number \(A \hbox{e}^{{\rm i}\theta}\) expressed in polar form, its conjugate is \(A \hbox{e}^{-{\rm i}\theta}.\)
 
3
The reader has probably noticed that my intentional choice of terminology in discussing these matters uses the term \(window\) to refer to the possibly tapered (windowed) slice of the signal being analyzed, while the term \(frame\) is used to refer to the discrete Fourier transform analysis length. This terminology will be used throughout the book.
 
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Metadaten
Titel
Phonetics and Signal Processing
verfasst von
Sean A. Fulop
Copyright-Jahr
2011
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-17478-0_2

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