File:FFT aliasing 600.gif

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FFT_aliasing_600.gif(600 × 400 pixels, file size: 4.88 MB, MIME type: image/gif, looped, 400 frames, 22 s)

Captions

Captions

Animation showing how aliasing is a result of resampling a waveform.

Summary[edit]

Description
English: Animation showing how aliasing (frequency ambiguity) is a result of sampling a continuous waveform.

Upper left: Animation depicts a sequence of sinusoids, each with a higher frequency than the previous ones. These "true" signals are also being sampled (blue dots) at a constant frequency/rate,

Upper right: The continuous Fourier transform of the sinusoid (not the samples). The single non-zero component, depicting the actual frequency, means there is no ambiguity.

Lower right: The discrete Fourier transform of just the available samples. The presence of two components means the samples can fit at least two different sinusoids, one of which is the true frequency (upper-right).

Lower left: Using the same samples (now in orange), the default reconstruction algorithm (i.e. in the absence of collateral information) produces the lower-frequency sinusoid.
Date
Source Own work
Author Davidjessop

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File history

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Date/TimeThumbnailDimensionsUserComment
current16:02, 7 April 2021Thumbnail for version as of 16:02, 7 April 2021600 × 400 (4.88 MB)Omnicron11 (talk | contribs)Readjusted some lines and turned the axes labels to be fully algebraic
15:41, 5 April 2021Thumbnail for version as of 15:41, 5 April 2021600 × 400 (3.56 MB)Omnicron11 (talk | contribs)Change x axis to be relative to dt and fs
13:46, 5 April 2021Thumbnail for version as of 13:46, 5 April 2021600 × 400 (3.89 MB)Omnicron11 (talk | contribs)Change frequency to be relative
13:26, 5 April 2021Thumbnail for version as of 13:26, 5 April 2021600 × 400 (3.86 MB)Omnicron11 (talk | contribs)Uploaded own work with UploadWizard

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