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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Discrete Fourier Transform and its Derivatives

Pp. 7-31 (25)

Leonid Yaroslavsky

Abstract

In this chapter, we provide basics of integral Fourier Transform and present discrete transforms originated from this very basic signal transform. We consider different versions of the Discrete Fourier Transform (DFT) that can be obtained in different conditions of signal sampling and introduce, as its important special case, Discrete Cosine Transform that proved to serve as an ideal substitution to DFT in all its applications.

Affiliation:

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