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Z & Fourier Transform Relationships

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Uploaded by on Sep 30, 2009

[2005]

This is a scientific illustration I made while working as a research assistant at the signal processing laboratory of the Geneva Engineering School .

It is meant to help students understand the relationships between the Z transform and the Fourier transform.

Basically, the Fourier domain (shown here in red) is a subset of the Z domain (shown here as a beige surface).

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Geometry & Animation: POV-Ray scripting
Rendering: POV-Ray

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  • If I understand your video, I guess a more correct explanation would be:

    - the xy-axes are the domain of the Z-transform

    - the gray surface is the Z-transform of some function

    - the red line is the Fourier transform of the same function.

    - the green cylinder shows that the domain of the Fourier transform is the unit circle on the complex plane

    ...please correct me if I am wrong.

  • @nippie96 That's exactly right. Thanks.

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