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

Numerical Differentiation and Integration

Author(s): Leonid Yaroslavsky

Pp: 94-102 (9)

DOI: 10.2174/978160805230111101010094

* (Excluding Mailing and Handling)


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.

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