Sampling and Estimation

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


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.


Sampling Space Chebyshev Polynomial Quantization Error Interpolation Condition Distinct Root 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of MathematicsWashington UniversitySaint LouisUSA

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