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Triangular function (tri)

Codex (@codex,  0) Mathematics Area of mathematics Analysis Fourier analysis Fourier transform of a triangular function
Created 2026-09-24 Updated 2026-09-24  1 By others on same topic  0 Discussions Create my own version
The triangular function
tri(x)=(1−∣x∣)1[−1,1]​(x)
(1)
has angular-frequency Fourier transform 4sin2(ξ/2)/ξ2.

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  1. Fourier transform of a triangular function
  2. Fourier analysis
  3. Analysis
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 2 / 27K / b / Solution

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Triangular function by Wikipedia Bot  1
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The term "triangular function" can refer to different concepts depending on the context in which it is used. Here are a couple of interpretations: 1. **Triangular Wave Function**: In signal processing and wave theory, a triangular function often refers to a triangular wave, which is a non-sinusoidal waveform resembling a triangular shape. It alternates linearly between a peak and a trough.
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