Digital Signal Processing in Experimental Research Volume Title: Fast Transform Methods in Digital Signal Processing

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This ebook covers fast transform algorithms, analyses, and applications in a single volume. It is the result of the collaboration by the author with others in the world wide university community and ...
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Numerical Differentiation and Integration

Pp. 94-102 (9)

Leonid Yaroslavsky

Abstract

Numerical differentiation and integration are very frequently required in processing experimental data. Typical examples, to name a few, are measuring velocities or acceleration from position or, respectively, velocity data, image reconstruction from projections by the method of “back projection”, profile reconstruction from slope data in optical metrology. In this chapter, we describe transform based numerical differentiation and integration algorithms and demonstrate their advantages over standard numerical differentiation and integration algorithm.

Affiliation:

Dept. of Physical Electronics, School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel.