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Fourier and Laplace transform properties table

See the table.

The idea is to group related properties and place them horizontally as well as vertically, unlike a typical table where all of the properties are listed one below another. Another idea is to treat domains equally. If there's a certain property like differentiation for time domain, attempt is made to provide similar property for frequency domain.

The notation mostly matches these books:

  1. Alan V. Oppenheim, Alan S. Willsky with S. Hamid Nawab. Signals and Systems (2nd Edition)
  2. Alan V. Oppenheim, Ronald W. Schafer with John R. Buck. Discrete-Time Signal Processing (2nd Edition)
  3. Robert Sedgewick, Philippe Flajolet. An Introduction to the Analysis of Algorithms (2nd Edition)

Reuse

The table is implemented as a jQuery plugin and requires MathJax and jQuery libraries.

Currently there's no releases. Latest builds are available here:

See the html source of the demo for an usage example. Some customization of the notation and selected transforms is possible although api may change, see the html source of function templates demo.

Additional references

  1. Mrinal Mandal, Amir Asif. Continuous and Discrete Time Signals and Systems
  2. Alexander D. Poularikas. Transforms and Applications Primer for Engineers with Examples and MATLAB®
  3. Fundamentals of Circuits and Filters edited by Wai-Kai Chen
  4. B. P. Lathi. Signal Processing and Linear Systems
  5. Transfer Functions and the Laplace Transform MOOC on edX
  6. Kent H. Lundberg, Haynes R. Miller, David L. Trumper. Initial Conditions, Generalized Functions, and the Laplace Transform

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