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DTFT of a Cosine Signal Sampled Above and Below the Nyquist Frequency | DTFT of a Cosine Signal Sampled Above and Below the Nyquist Frequency | ||
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+ | A [https://www.projectrhea.org/learning/slectures.php slecture] by [[ECE]] student Andrew Pawling | ||
− | + | Partly based on the [[2014_Fall_ECE_438_Boutin|ECE438 Fall 2014 lecture]] material of [[user:mboutin|Prof. Mireille Boutin]]. | |
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− | Partly based on the ECE438 Fall 2014 lecture material of Prof. Mireille Boutin. | + | |
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Revision as of 18:37, 1 October 2014
DTFT of a Cosine Signal Sampled Above and Below the Nyquist Frequency
A slecture by ECE student Andrew PawlingPartly based on the ECE438 Fall 2014 lecture material of Prof. Mireille Boutin.
In this slecture we will look at an example that illustrates the Nyquist condition. When a signal is sampled, frequencies above half the sampling rate cannot be properly represented and result in aliasing.
Lets look at a pure tone frequency F4 = 349Hz
We will represent this tone as a cosine signal, x(t) = cos(2π349t)