@inbook{18252e60971744ce8ad6b28f82415bf6,
title = "Sampling and estimation",
abstract = "Multimedia signal processing begins with the taking of physical measurements to acquire sounds or images. To determine what measurements are needed, we use a mathematical model of the physical process. For example, speech recording begins with a model of the sound vibrations that a human being can produce. These result in slight fluctuations of the air pressure that can be measured by a microphone, producing a real-valued function of one real “time” variable. Similarly, taking a picture begins with a model of the light arriving at the camera. The amount that arrives during the acquisition period, or when the shutter is open, is a nonnegative real-valued function of two “space” variables. Finally, video can be modeled by a nonnegative function of one time plus two space variables.",
keywords = "Chebyshev polynomial, Distinct root, Interpolation condition, Quantization error, Sampling space",
author = "Wickerhauser, \{Mladen Victor\}",
note = "Publisher Copyright: {\textcopyright} Birkh{\"a}user Boston, a part of Springer Science + Business Media, LLC 2010.",
year = "2010",
doi = "10.1007/978-0-8176-4880-0\_4",
language = "English",
series = "Applied and Numerical Harmonic Analysis",
publisher = "Springer International Publishing",
number = "9780817648794",
pages = "107--132",
booktitle = "Applied and Numerical Harmonic Analysis",
edition = "9780817648794",
}