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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1007/978-3-...
Part of book or chapter of book . 2012 . Peer-reviewed
License: Springer TDM
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Discrete Fourier Transform

Authors: Apurba Das;

Discrete Fourier Transform

Abstract

The concept of signal conditioning holds true both for synthesis and analysis domain. When we are considering the discrete signal processing concept, the signal must be discrete both in time/ space domain and in frequency domain. But by Discrete Time Fourier Transform (DTFT), the discrete time signal is transformed into continuous frequency signal in analysis domain. Therefore, our objective should be to condition/ process the continuous periodic spectrum such that the spectrum can be used by discrete signal processors like computers and hand-held devices like mobile phones, directly. In the present chapter, we have first introduced the classical algorithm of Discrete Fourier Transform (DFT). A complete flow from analog continuous time signal to discrete spectrum analysis is represented. Next, a clockwise rotated phasor (twiddle factor) is presented to simplify the DFT algorithm. Some interesting observations related to the DFT operation both in electrical signal (1D) and image (2D) are also presented at the rear end of the chapter.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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