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Fourier Transforms - DFT Properties and Visualization: CS370 Lecture 21 - Feb 27, 2017 PDF

14 Pages·2017·English
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by ['John Salazar']| 2017| 14 pages| English

About Fourier Transforms - DFT Properties and Visualization: CS370 Lecture 21 - Feb 27, 2017

The document discusses the discrete Fourier transform (DFT) and some of its properties. It provides the DFT equation that transforms time-domain data into frequency-domain Fourier coefficients. Two key properties are discussed: 1) the Fourier coefficients are periodic, and 2) if the data is real, the coefficients exhibit conjugate symmetry. Examples are given to demonstrate the DFT of different data types, including a cosine wave, smooth hump, and rough hump. The power spectrum is defined as the magnitudes of the Fourier coefficients and provides information about the frequencies present in the original data.

Detailed Information

Author:['John Salazar']
Publication Year:2017
Pages:14
Language:English
Format:PDF
Price:FREE
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