Chapter 3. Basic Acoustics

Table of Contents

3.1. Speech signals
3.2. Properties of Sinusoids
3.3. Adding Sinusoids
3.4. Fourier theory
3.5. Spectrograms
3.6. Exercises
3.7. Additional Reading

3.1. Speech signals

Speech propagates as a longitudinal wave in a medium, such as air or water. The speed of propagation depends on the density of the medium. It is common to plot the amplitude of air pressure variation corresponding to a speech signal as a function of time; this kind of plot is known as a speech pressure waveform or just a speech waveform. Here's an example taken from part of a vowel:

The plot shows the change in air pressure with time and we can see that in this example the pattern of changes is regular in that each up-down cycle has roughly the same shape. This corresponds to a periodic signal and these signals make up the voiced speech sounds such as vowels, and voiced consonants such as `b', `w' and `z'. Another kind of sound is irregular or aperiodic and so appears to be just random variations in air pressure. Examples are the hissing sound in `s' and `sh'.

The simplest form of sound that we can describe is called a sinusoid. This waveform corresponds to a pure tone and as we will see later forms the basis for all more complex sounds. Since a sinusoid has such a pure shape it is a useful starting point when describing the properties of sound waves.