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

Discrete Fourier Transform and its Derivatives

Author(s): Leonid Yaroslavsky

Pp: 7-31 (25)

DOI: 10.2174/978160805230111101010007

* (Excluding Mailing and Handling)


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.

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